Featured: Global Formulations of Lagrangian and Hamiltonian Dynamics on Manifolds
This research monograph provides an accessible introduction to the variational formulation of Lagrangian and Hamiltonian mechanics, with a novel emphasis on global descriptions of the dynamics, which is a significant conceptual departure from more traditional approaches based on the use of local coordinates on the configuration manifold. In particular, we introduce a general methodology for obtaining globally valid equations of motion on configuration manifolds that are Lie groups, homogeneous spaces, and embedded manifolds, thereby avoiding the difficulties associated with coordinate singularities.
Books
- T. Lee, M. Leok, N. H. McClamroch, "Global Formulations of Lagrangian and Hamiltonian Dynamics on Manifolds", Springer, 2018, doi:10.1007/978-3-319-56953-6
Journal Articles
- G. Chirikjian, T. Lee, "Rotational trajectory synopsis groups", Frontiers in Robotics and AI, 2026, accepted
- T. K. C., W. Clark, T. Lee, "Transfer operators for stochastic hybrid systems on manifolds with guard-induced resets", IEEE Transactions on Automatic Control, 2026, submitted
- K. Simon, M. Wickramasuriya, T. Lee, M. Snyder, "Light-detection-and-ranging--based unmanned aerial vehicle pose estimation in ocean environment with deep point transformer network", AIAA Journal of Guidance, Control, and Dynamics, 49(8), 2277--2290, 2026, doi:10.2514/1.G009615
- T. K. C., M. Wickramasuriya, S. Bonnabel, A. Barrau, T. Lee, "Invariant Kalman filter for relative dynamics", IEEE Transactions on Automatic Control, 2026, submitted
- T. Lee, G. Chirikjian, "Geometric interpretation of Brownian motion on Riemannian manifolds", IEEE Transactions on Automatic Control, 2026, submitted
- B. Yu, T. Lee, "Equivariant reinforcement learning frameworks for quadrotor low-level control", IEEE Transactions on Control Systems Technology, 34(1), 86--99, 2026, doi:10.1109/TCST.2025.3599971
- T. K. C., T. Lee, "Alternating learning for modular sensorimotor control of a flapping wing unmanned aerial vehicle", ASME Journal of Dynamic Systems, Measurement, and Control, 148(6), 061006, 2026, doi:10.1115/1.4071868
- M. Wickramasuriya, T. Lee, M. Snyder, "Deep transformer network for monocular pose estimation of shipborne unmanned aerial vehicle", AIAA Journal of Guidance, Control, and Dynamics, 48(8), 1915--1930, 2025, doi:10.2514/1.G008588
- Z. Hou, L. Lin, T. Lee, M. Keidar, "Adaptive cold atmospheric plasma: Demonstration with in vitro cancer treatment experiments", ACS Omega, 10(40), 46569--46592, 2025, doi:10.1021/acsomega.5c03325
- B. Yu, T. Lee, "Modular reinforcement learning for a quadrotor UAV with decoupled yaw control", IEEE Robotics and Automation Letters, 10(1), 572--579, 2025, doi:10.1109/LRA.2024.3511412
- K. Gamagedara, T. Lee, M. Snyder, "Delayed Kalman filter for vision-based autonomous flight in ocean environments", Control Engineering Practice, 143, 105791, 2024, doi:10.1016/j.conengprac.2023.105791
- C. Kang, M. Sridhar, R. Twigg, J. Pohly, T. Lee, H. Aono, "Power benefits of high-altitude flapping wing flight at the monarch butterfly scale", Biomimetics, 8(4), 352, 2023, doi:10.3390/biomimetics8040352
- T. K. C., T. Lee, "Constrained imitation learning for a flapping wing unmanned aerial vehicle", IEEE Robotics and Automation Letters, 7(4), 10534--10541, 2022, doi:10.1109/LRA.2022.3194682
- W. Wang, T. Lee, "Uncertainty propagation for general stochastic hybrid systems on compact Lie groups", SIAM Journal on Applied Dynamical Systems, 21(3), 2215--2240, 2022, doi:10.1137/21M144147X
- L. Lin, D. Yan, T. Lee, M. Keidar, "Self-adaptive plasma chemistry and intelligent plasma medicine", Advanced Intelligent Systems, 4(3), 2100112, 2022, doi:10.1002/aisy.202100112
- Z. Hou, T. Lee, M. Keidar, "Reinforcement learning with safe exploration for adaptive plasma cancer treatment", IEEE Transactions on Radiation and Plasma Medical Sciences, 6(4), 482--492, 2022, doi:10.1109/TRPMS.2021.3094874
- W. Wang, K. Gamagedara, T. Lee, "On the observability of attitude with single direction measurements", IEEE Transactions on Automatic Control, 67(9), 4986--4993, 2022, doi:10.1109/TAC.2022.3179214
- K. Gamagedara, T. Lee, "Geometric adaptive controls of a quadrotor unmanned aerial vehicle with decoupled attitude dynamics", ASME Journal of Dynamic Systems, Measurement, and Control, 144(3), 031002, 2022, doi:10.1115/1.4052714
- W. Wang, T. Lee, "Matrix Fisher--Gaussian distribution on $\mathrm{SO}(3)\times\mathbb{R}^{n}$ and Bayesian attitude estimation", IEEE Transactions on Automatic Control, 67(5), 2175--2191, 2022, doi:10.1109/TAC.2021.3073323
- S. Kulumani, T. Lee, "Bayesian shape reconstruction and optimal guidance for autonomous landing on asteroids", Journal of the Astronautical Sciences, 69, 335--367, 2022, doi:10.1007/s40295-022-00310-6
- T. Lee, "Real harmonic analysis on the special orthogonal group", International Journal of Analysis and Applications, 20, 21, 2022, doi:10.28924/2291-8639-20-2022-21
- K. Gamagedara, T. Lee, M. Snyder, "Quadrotor state estimation with IMU and delayed real-time kinematic GPS", IEEE Transactions on Aerospace and Electronic Systems, 57(5), 2661--2673, 2021, doi:10.1109/TAES.2021.3061795
- W. Wang, T. Lee, "Higher-order central moments of matrix Fisher distribution on SO(3)", Statistics and Probability Letters, 169, 108983, 2021, doi:10.1016/j.spl.2020.108983
- T. K. C., M. Sridhar, C. Kang, T. Lee, "Effects of abdomen undulation in energy consumption and stability for monarch butterfly", Bioinspiration & Biomimetics, 16(4), 046003, 2021, doi:10.1088/1748-3190/abce4d
- M. Sridhar, C. Kang, D. Landrum, H. Aono, S. Mathis, T. Lee, "Effects of flight altitude on the lift generation of monarch butterflies: From sea level to overwintering mountain", Bioinspiration & Biomimetics, 16, 034002, 2021, doi:10.1088/1748-3190/abe108
- M. Bisheban, T. Lee, "Geometric adaptive control with neural networks for a quadrotor in wind fields", IEEE Transactions on Control Systems Technology, 29(4), 1533--1548, 2021, doi:10.1109/TCST.2020.3006184
- L. Lin, Z. Hou, X. Yao, Y. Liu, J. Sirigiri, T. Lee, M. Keidar, "Introducing adaptive cold atmospheric plasma: The perspective of adaptive cold plasma cancer treatments based on real-time electrochemical impedance spectroscopy", Physics of Plasmas, 27(6), 063501, 2020, doi:10.1063/5.0003528
- T. Lee, M. Keidar, "Adaptive plasma and machine learning", in Plasma Cancer Therapy, Springer, pp. 223--250, 2020
- W. Wang, T. Lee, "Spectral Bayesian estimation for general stochastic hybrid systems", Automatica, 117, 108989, 2020, doi:10.1016/j.automatica.2020.108989
- E. Kaufman, K. Takami, Z. Ai, T. Lee, "Bayesian mapping-based autonomous exploration and patrol of 3D structured indoor environments with multiple flying robots", Journal of Intelligent and Robotic Systems, 98, 403--419, 2020, doi:10.1007/s10846-019-01066-2
- Y. Lyu, L. Lin, E. Gjika, T. Lee, M. Keidar, "Mathematical modeling and control for cancer treatment with cold atmospheric plasma jet", Journal of Physics D: Applied Physics, 52(18), 185202, 2019, doi:10.1088/1361-6463/ab061d
- T. Lee, D. Chang, Y. Eun, "Semiglobal nonmemoryless attitude controls on the special orthogonal group", ASME Journal of Dynamic Systems, Measurement, and Control, 141(2), 021005, 2019, doi:10.1115/1.4041447
- S. Kulumani, T. Lee, "Systematic design of optimal low-thrust transfers for the three-body problem", Journal of the Astronautical Sciences, 66(1), 1--31, 2019, doi:10.1007/s40295-018-00139-y
- T. Lee, "Bayesian attitude estimation with the matrix Fisher distribution on SO(3)", IEEE Transactions on Automatic Control, 63(10), 3377--3392, 2018, doi:10.1109/TAC.2018.2797162
- E. Kaufman, K. Takami, T. Lee, Z. Ai, "Autonomous exploration with exact inverse sensor models", Journal of Intelligent and Robotic Systems, 92(3--4), 435--452, 2018, doi:10.1007/s10846-017-0710-7
- T. Lee, "Geometric control of quadrotor UAVs transporting a cable-suspended rigid body", IEEE Transactions on Control Systems Technology, 26(1), 255--264, 2018, doi:10.1109/TCST.2017.2656060
- S. Kulumani, T. Lee, "Constrained geometric attitude control on SO(3)", International Journal of Control, Automation, and Systems, 15(6), 2796--2809, 2017, doi:10.1007/s12555-016-0607-4
- F. Goodarzi, T. Lee, "Global formulation of an extended Kalman filter on SE(3) for geometric control of a quadrotor UAV", Journal of Intelligent and Robotic Systems, 88(2--4), 395--416, 2017, doi:10.1007/s10846-017-0525-6
- M. Bisheban, T. Lee, "Computational geometric system identification for the attitude dynamics on SO(3)", International Journal of Control, Automation, and Systems, 15(6), 2776--2785, 2017, doi:10.1007/s12555-016-0714-2
- T. Wu, B. Flewelling, F. Leve, T. Lee, "Spacecraft attitude formation tracking using line-of-sight measurements", AIAA Journal of Guidance, Control, and Dynamics, 40(10), 2616--2629, 2017, doi:10.2514/1.G001727
- T. Lee, M. Leok, N. H. McClamroch, "Geometric formulations of Furuta pendulum control problems", Mathematics in engineering, science and aerospace, 7(1), 69--81, 2016
- F. Goodarzi, T. Lee, "Stabilization of a rigid body payload with multiple cooperative quadrotors", ASME Journal of Dynamic Systems, Measurement, and Control, 138(12), 121001, 2016, doi:10.1115/1.4033945
- T. Wu, T. Lee, "Angular velocity observer for attitude tracking on SO(3) with the separation property", International Journal of Control, Automation, and Systems, 14(5), 1289--1298, 2016, doi:10.1007/s12555-015-0163-3
- E. Kaufman, T. Lovell, T. Lee, "Minimum uncertainty JPDA filters and coalescence avoidance for multiple object tracking", Journal of the Astronautical Sciences, 63(4), 308--334, 2016, doi:10.1007/s40295-016-0092-2
- E. Kaufman, T. Lovell, T. Lee, "Nonlinear observability for relative orbit determination with angles-only measurements", Journal of the Astronautical Sciences, 63(1), 60--80, 2016, doi:10.1007/s40295-015-0082-9
- J. Dougherty, T. Lee, "Monocular estimation of ground orientation for autonomous landing of a quadrotor", AIAA Journal of Guidance, Control, and Dynamics, 39(6), 1407--1416, 2016, doi:10.2514/1.G001229
- T. Lee, "Global exponential attitude tracking controls on SO(3)", IEEE Transactions on Automatic Control, 60(10), 2837--2842, 2015, doi:10.1109/TAC.2015.2407452
- T. Lee, "Stochastic optimal motion planning for the attitude kinematics of a rigid body with non-Gaussian uncertainties", ASME Journal of Dynamic Systems, Measurement, and Control, 137(3), 034502, 2015, doi:10.1115/1.4027950
- F. Goodarzi, D. Lee, T. Lee, "Geometric adaptive tracking control of a quadrotor unmanned aerial vehicle on SE(3) for agile maneuvers", ASME Journal of Dynamic Systems, Measurement, and Control, 137(9), 091007, 2015, doi:10.1115/1.4030419
- F. Goodarzi, D. Lee, T. Lee, "Geometric control of a quadrotor UAV transporting a payload connected via flexible cable", International Journal of Control, Automation, and Systems, 13(6), 1486--1498, 2015, doi:10.1007/s12555-014-0304-0
- N. H. McClamroch, T. Lee, "Optimal flight planning for a jet aircraft mission", in Case Studies in Operations Research, Springer, pp. 355--390, 2015
- T. Lee, "Optimal control of partitioned hybrid systems via discrete-time Hamilton-Jacobi theory", Automatica, 50(8), 2062--2069, 2014, doi:10.1016/j.automatica.2014.05.024
- T. Lee, M. Leok, N. H. McClamroch, "High-fidelity numerical simulation of complex dynamics of tethered spacecraft", Acta Astronautica, 99(1), 215--230, 2014, doi:10.1016/j.actaastro.2014.02.021
- T. Lee, "Robust adaptive attitude tracking on SO(3) with an application to a quadrotor UAV", IEEE Transactions on Control Systems Technology, 21(5), 1924--1930, 2013, doi:10.1109/TCST.2012.2209887
- T. Lee, M. Leok, N. H. McClamroch, "Nonlinear robust tracking control of a quadrotor UAV on SE(3)", Asian Journal of Control, 15(2), 391--408, 2013, doi:10.1002/asjc.567
- T. Lee, "Exponential stability of an attitude tracking control system on SO(3) for large-angle rotational maneuvers", Systems and Control Letters, 61(1), 231--237, 2012, doi:10.1016/j.sysconle.2011.10.017
- T. Lee, M. Leok, N. H. McClamroch, "Computational dynamics of a 3D elastic string pendulum attached to a rigid body and an inertially fixed reel mechanism", Nonlinear Dynamics, 64(1-2), 97--115, 2011, doi:10.1007/s11071-010-9849-5
- N. Chaturvedi, T. Lee, M. Leok, N. H. McClamroch, "Nonlinear dynamics of the 3D pendulum", Journal of Nonlinear Science, 21(1), 3--32, 2011, doi:10.1007/s00332-010-9078-6
- I. Kolmanovsky, T. Lee, A. Sanyal, J. Shen, "HarrisFest [conference reports]", IEEE Control Systems Magazine, 30(5), 81--83, 2010, doi:10.1109/MCS.2010.937816
- T. Lee, M. Leok, N. H. McClamroch, "Lagrangian mechanics and variational integrators on two-spheres", International Journal for Numerical Methods in Engineering, 79(9), 1147--1174, 2009, doi:10.1002/nme.2603
- T. Lee, M. Leok, N. H. McClamroch, "Discrete control systems", in the Encyclopedia of Complexity and System Science, Springer, pp. 2002--2019, 2009
- A. Sanyal, T. Lee, M. Leok, N. H. McClamroch, "Global optimal attitude estimation using uncertainty ellipsoids", Systems and Control Letters, 57(3), 236--245, 2008, doi:10.1016/j.sysconle.2007.08.014
- T. Lee, M. Leok, N. H. McClamroch, "Computational geometric optimal control of rigid bodies", Communications in Information and Systems, special issue dedicated to R. W. Brockett, 8(4), 445--472, 2008
- T. Lee, M. Leok, N. H. McClamroch, "Optimal attitude control of a rigid body using geometrically exact computations on SO(3)", Journal of Dynamical and Control Systems, 14(4), 465--487, 2008, doi:10.1007/s10883-008-9047-7
- T. Lee, M. Leok, N. H. McClamroch, "Lie group variational integrators for the full body problem in orbital mechanics", Celestial Mechanics and Dynamical Astronomy, 98(2), 121--144, 2007, doi:10.1007/s10569-007-9073-x
- T. Lee, M. Leok, N. H. McClamroch, "Lie group variational integrators for the full body problem", Computer Methods in Applied Mechanics and Engineering, 196, 2907--2924, 2007, doi:10.1016/j.cma.2007.01.017
- T. Lee, Y. Kim, "Nonlinear adaptive flight control using backstepping and neural networks controller", AIAA Journal of Guidance, Control, and Dynamics, 24(4), 675--682, 2001, doi:10.2514/2.4794
- T. Lee, Y. Kim, "Nonlinear adaptive flight control using neural networks and backstepping", Journal of Control, Automation and Systems Engineering, 6(12), 1070--1078, 2000
- J. Ahn, T. Lee, Y. Kim, "Real time formulation of missile trajectory optimization using a parameter optimization technique", Journal of Korean Society for Aeronautical and Space Sciences, 27(4), 94--103, 1999
Conference Proceedings
- B. Yu, C. Liu, M. Wickramasuriya, M. Imani, T. Lan, T. Lee, "REVISE: Revisable online open-vocabulary instance mapping with SLAM", in Proceedings of the IEEE International Conference on Robotics and Automation, 2027, submitted
- Z. Fang, B. Yu, C. Liu, Y. Lin, Z. Yang, R. Chen, M. Imani, T. Lee, T. Lan, "Ask, fall back, or commit: Mission-aware uncertainty resolution for human-robot planning", in Proceedings of the IEEE International Conference on Robotics and Automation, 2027, submitted
- Y. Lin, B. Yu, C. Liu, Z. Fang, S. Ghoreishi, T. Lan, T. Lee, M. Imani, "Learning to ask and act: Joint action and query planning under teammate intent uncertainty", in Proceedings of the IEEE International Conference on Robotics and Automation, 2027, submitted
- C. Liu, B. Yu, M. Wickramasuriya, T. Lan, M. Imani, T. Lee, "PIMS-SLAM: Persistent instance motion state for Gaussian SLAM in dynamic environments", in Proceedings of the IEEE International Conference on Robotics and Automation, 2027, submitted
- S. Edwards, D. Guralnik, T. Lee, "A geometrically informed local bound on state estimation error growth for a class of intermittent state feedback problems", in Proceedings of the American Control Conference, 2027, submitted
- J. Li, B. Yu, T. Lee, "Geometric control of aerial payload transportation with prescribed link direction for gate passage", in Proceedings of the American Control Conference, 2027, submitted
- K. Iwasaki, A. Bloch, T. Lee, M. Ghaffari, "The score Kalman filter", in Proceedings of Neural Information Processing Systems (NeurIPS), 2026, accepted. Selected for Spotlight presentation (292 of 30,709 submissions (0.95%))
- T. K. C., T. Lee, "Uncertainty propagation in stochastic hybrid systems with dimension-varying resets", in Proceedings of the IEEE Conference on Decision and Control, 2026, accepted
- K. Iwasaki, T. K. C., A. Bloch, M. Ghaffari, T. Lee, "Max-entropy moment filtering for stochastic hybrid systems", in Proceedings of the IEEE Conference on Decision and Control, 2026, accepted
- M. Wickramasuriya, B. Yu, J. Shin, M. Huslig, T. Lee, M. Snyder, "Hardware- and vision-in-the-loop validation of deep monocular pose estimation for autonomous maritime UAV flight", in Proceedings of the International Conference on Unmanned Aircraft Systems, 2026
- T. Lee, G. Chirikjian, "Global tensor field formulation of the Fokker--Planck equation on Riemannian manifolds", in Proceedings of the European Control Conference, 2026
- M. Wickramasuriya, B. Yu, T. Lee, M. Snyder, "Vision-in-the-loop simulation for deep monocular pose estimation of UAV in ocean environment", in Proceedings of the International Conference on Unmanned Aircraft Systems, 2025
- Z. Zhang, H. Zhou, M. Imani, T. Lee, T. Lan, "Learning to collaborate with unknown agents in the absence of reward", in Proceedings of the AAAI Conference on Artificial Intelligence, 2025
- T. K. C., T. Lee, "Mean field game and control for switching hybrid systems", in Proceedings of the IFAC Symposium on Nonlinear Control Systems, 2025, doi:10.1016/j.ifacol.2025.11.101
- T. K. C., M. Wickramasuriya, T. Lee, "Invariant Kalman filter for relative dynamics", in Proceedings of the IFAC Symposium on Nonlinear Control Systems, pp. 382--387, 2025, doi:10.1016/j.ifacol.2025.11.064
- T. K. C., W. Clark, T. Lee, "Uncertainty propagation of stochastic hybrid systems: A case study for types of jump", in Proceedings of the IFAC Symposium on Nonlinear Control Systems, 2025, doi:10.1016/j.ifacol.2025.11.048
- T. K. C., T. Lee, "Variational integrators for stochastic mechanical hybrid systems", in Proceedings of the IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Controls, pp. 149--154, 2024, doi:10.1016/j.ifacol.2024.08.272
- T. K. C., T. Lee, "Deep neural pose estimation for a flapping wing unmanned aerial vehicle with visual-inertial sensor fusion", in AIAA Scitech Forum, 2024, AIAA 2024-0948
- M. Wickramasuriya, T. Lee, M. Snyder, "Deep monocular relative 6D pose estimation for ship-based autonomous UAV", in AIAA Scitech Forum, 2024, AIAA 2024-2877
- B. Yu, T. Lee, "Multi-agent reinforcement learning for the low-level control of a quadrotor UAV", in Proceedings of the American Control Conference, pp. 1537--1542, 2024
- T. Lee, "G-learning: Equivariant indirect optimal control with generating function", in Proceedings of IEEE Conference on Decision and Control, pp. 2340--2345, 2023
- W. Wang, T. Lee, "INS-GNSS navigation for large attitude uncertainties with the matrix Fisher--Gaussian distribution", in Proceedings of the American Control Conference, pp. 4858--4863, 2023
- Z. Hou, T. Lee, M. Keidar, "Canonical correlation analysis for real-time diagnostics of cancer cell viability with impedance", in International Workshop On Plasma For Cancer Treatment, 2023
- M. Tarpley, J. Pohly, C. Kang, T. Lee, H. Aono, "Numerical analysis of flight performance of bioinspired Mars flight vehicles", in AIAA Scitech Forum, 2023, AIAA 2023-1219
- J. Pohly, C. Kang, T. K. C., T. Lee, H. Aono, "Climbing flight of monarch butterflies via wing and abdomen kinematic modulation using a high-fidelity numerical framework", in AIAA Scitech Forum, 2023, AIAA 2023-1789
- B. Yu, T. Lee, "Equivariant reinforcement learning for quadrotor UAV", in Proceedings of the American Control Conference, pp. 2842--2847, 2023
- T. Morris, M. Sridhar, T. Clark, F. Schulze, C. Kang, D. Landrum, K. Roh, T. Lee, H. Aono, "Experimental measurements of the wing deformation and force production of real and bioinspired artificial monarch butterfly wings", in Proceedings of the AIAA Scitech Forum, 2022, AIAA 2022-0308
- T. K. C., T. Lee, "Iterative supervised learning for regression with constraints", in International Conference on Ubiquitous Robots, 2022
- W. Wang, T. Lee, "Spacecraft attitude and gyro-bias estimation with a single magnetometer on SO(3)xRn", in Proceedings of the AIAA Scitech Forum, 2022, AIAA 2022-0616
- W. Wang, T. Lee, "Bingham--Gaussian distribution on S2xRn for unscented attitude estimation", in Proceedings of IEEE International Conference on Multisensor Fusion and Integration, 2021
- K. Gamagedara, T. Lee, M. Snyder, "Unscented Kalman filter for INS/GNSS data fusion with time delay", in Proceedings of AIAA Aviation Forum, 2021, AIAA 2021-2486
- M. Snyder, K. Gamagedara, T. Lee, J. Pritchard, "In situ detection and analysis of ship air wakes from a US Navy research vessel", in Proceedings of AIAA Aviation Forum, 2021, AIAA 2021-2485
- T. K. C., T. Lee, "Geometric optimal controls for flapping wing UAV on a Lie group", in IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control, 2021
- T. Lee, M. Tao, M. Leok, "Variational symplectic accelerated optimization on Lie groups", in Proceedings of IEEE Conference on Decision and Control, pp. 233--240, 2021
- M. Sridhar, J. Pohly, C. Kang, T. Lee, H. Aono, "Effects of vein structures on fluid-structure interaction of flexible flapping wings at high altitudes", in Proceedings of the AIAA Scitech Forum, 2021, AIAA 2021-0963
- T. Lee, "Stochastic attitude smoothing and interpolation on SO(3) with matrix Fisher distributions", in Proceedings of the American Control Conference, pp. 1161--1167, 2021
- T. K. C., C. Kang, T. Lee, "Dynamics and control of a flapping wing UAV with abdomen undulation inspired by monarch butterfly", in Proceedings of the American Control Conference, pp. 66--71, 2021
- B. Yu, K. Gamagedara, S. Kim, T. Lee, J. Suk, "Geometric control and experimental validation for a quadrotor UAV transporting a payload", in Proceedings of IEEE Conference on Decision and Control, pp. 201--207, 2020
- W. Wang, T. Lee, "Spectral uncertainty propagation for generalized stochastic hybrid systems with applications to a bouncing ball", in Proceedings of the American Control Conference, pp. 1803--1808, 2020
- T. Lee, "Adaptive learning Kalman filter with Gaussian process", in Proceedings of the American Control Conference, pp. 4442--4447, 2020
- H. Sharma, T. Lee, M. Patil, C. Woolsey, "Symplectic accelerated optimization on SO(3) with Lie group variational integrators", in Proceedings of the American Control Conference, pp. 2826--2831, 2020
- W. Wang, T. Lee, "Matrix Fisher--Gaussian distribution on SO(3)XRn for attitude estimation with a gyro bias", in Proceedings of the American Control Conference, pp. 4429--4434, 2020
- M. Sridhar, C. Kang, T. Lee, "Geometric formulation for the dynamics of monarch butterfly with the effects of abdomen undulation", in Proceedings of the AIAA Scitech Forum, 2020, AIAA 2020-1962
- J. Pohly, C. Kang, M. Sridhar, D. Landrum, F. Fahimi, J. Bluman, H. Aono, T. Lee, "Scaling bioinspired Mars flight vehicles for hover", in Proceedings of the AIAA Scitech Forum, 2019, AIAA 2019-0567
- H. Sharma, T. Lee, "Energy-preserving, adaptive time-step Lie group variational integrators for the attitude dynamics of a rigid body", in Proceedings of the American Control Conference, pp. 5487--5492, 2019
- K. Gamagedara, M. Bisheban, E. Kaufman, T. Lee, "Geometric controls of a quadrotor with a decoupled yaw control", in Proceedings of the American Control Conference, 2019
- K. Gamagedara, T. Lee, D. Chang, "Attitude observer on SO(3) with time-varying reference directions", in Proceedings of the European Control Conference, pp. 4034--4039, 2019
- T. Lee, "Spacecraft attitude estimation with a single magnetometer using matrix Fisher distributions on SO(3)", in Proceedings of the AIAA Guidance, Navigation and Control Conference, 2019, AIAA 2019-1173
- K. Gamagedara, T. Lee, M. Snyder, "Real-time kinematics GPS based telemetry system for airborne measurements of ship air wake", in Proceedings of AIAA Aerospace Sciences Meeting, 2019, doi:10.2514/6.2019-2377, AIAA 2019-2377
- E. Kaufman, T. Lee, "Autonomous aerial exploration for topological mapping of Mars environments", in Proceedings of the AIAA Guidance, Navigation and Control Conference, 2019, AIAA 2019-1915
- M. Bisheban, T. Lee, "Geometric adaptive control for a quadrotor UAV with wind disturbance rejection", in Proceedings of IEEE Conference on Decision and Control, pp. 2816--2821, 2018
- T. Lee, "Bayesian attitude estimation with approximate matrix Fisher distributions on SO(3)", in Proceedings of IEEE Conference on Decision and Control, pp. 5319--5325, 2018
- Z. Zhao, G. Cruz, T. Lee, D. Bernstein, "Adaptive attitude control of a dual-rigid-body spacecraft with unmodeled nonminimum-phase dynamics", in Proceedings of the American Control Conference, pp. 2503--2508, 2018
- L. Simon, R. Agnes, K. Gamagedara, K. Takami, M. Snyder, T. Lee, "Studies on autonomous landing of an unmanned aerial vehicle on a vessel", in Proceedings of AIAA Information Systems, 2018, AIAA 2018-1461
- S. Kulumani, T. Lee, "Real time adaptive shape reconstruction for asteroid landing", in Proceedings of the AAS/AIAA Astrodynamics Specialist Conference, 2018, AAS 18-319
- K. Takami, T. Lee, "Environment dependent depth enhancement with multi-modal sensor fusion learning", in Proceedings of the IEEE International Conference on Robotic Computing, pp. 232--237, 2018
- E. Kaufman, K. Takami, T. Lee, "Autonomous quadrotor 3D mapping and exploration using exact occupancy probabilities", in Proceedings of the IEEE International Conference on Robotic Computing, pp. 49--55, 2018
- S. Kulumani, K. Takami, T. Lee, "Geometric control for autonomous landing on asteroid Itokawa using visual localization", in Proceedings of the AAS/AIAA Astrodynamics Specialist Conference, 2017, AAS 17-720
- M. Bisheban, T. Lee, "Computational geometric identification for the quadrotor dynamics in wind fields", in Proceedings of the IEEE Conference on Control Technology and Applications, pp. 1153--1158, 2017
- C. Mallon, B. Muthig, K. Gamagedara, K. Patil, C. Friedman, T. Lee, M. Snyder, "Measurements of ship air wake using airborne anemometers", in Proceedings of AIAA Aerospace Sciences Meeting, 2017, doi:10.2514/6.2017-0252, AIAA 2017-0252
- S. Kulumani, T. Lee, "Bayesian attitude estimation on SO(3) with matrix Fisher mixtures", in Proceedings of the AIAA/AAS Spaceflight Mechanics Meeting, 2017, AAS 17-324
- M. Bisheban, T. Lee, "Computational geometric system identification for the attitude dynamics on SO(3)", in Proceedings of the American Control Conference, pp. 2249--2254, 2017
- T. Lee, D. Chang, Y. Eun, "Attitude control strategies overcoming the topological obstruction on SO(3)", in Proceedings of the American Control Conference, pp. 4942--4947, 2017
- K. Lee, C. Park, T. Lee, S. Park, "Spacecraft formation keeping via discrete-time Hamilton-Jacobi theory", in Proceedings of the AIAA Guidance, Navigation and Control Conference, 2016, doi:10.2514/6.2016-0874, AIAA 2016-0874
- E. Kaufman, Z. Ai, T. Lee, "Autonomous exploration by expected information gain from probabilistic occupancy grid mapping", in Proceedings of the IEEE Conference on Simulation, Modeling, and Programming for Autonomous Robots, 2016
- T. Lee, "Optimal hybrid controls for global exponential tracking on the two-sphere", in Proceedings of the IEEE Conference on Decision and Control, pp. 3331--3337, 2016
- S. Kulumani, T. Lee, "Low-thrust trajectory design using reachability sets near asteroid 4769 Castalia", in Proceedings of the AIAA/AAS Astrodynamics Specialist Conference, 2016, doi:10.2514/6.2016-5376, AIAA 2016-5376
- F. Goodarzi, T. Lee, "Extended Kalman filter on SE(3) for geometric control of a quadrotor UAV", in Proceedings of the IEEE International Conference on Unmanned Aircraft Systems, pp. 1371--1380, 2016
- E. Kaufman, T. Lee, Z. Ai, I. Moskowitz, "Bayesian occupancy grid mapping via an exact inverse sensor model", in Proceedings of the American Control Conference, pp. 5709--5715, 2016
- S. Kulumani, C. Poole, T. Lee, "Geometric adaptive control of attitude dynamics on SO(3) with state inequality constraint", in Proceedings of the American Control Conference, pp. 4936--4941, 2016
- T. Lee, "Global unscented attitude estimation via the matrix Fisher distributions on SO(3)", in Proceedings of the American Control Conference, pp. 4942--4947, 2016
- S. Kulumani, T. Lee, "Systematic design of optimal low-thrust transfers for the three-body problem", in Proceedings of the AIAA/AAS Astrodynamics Specialist Conference, 2015, AAS 15-757
- T. Lee, M. Leok, N. H. McClamroch, "Global formulations of Lagrangian and Hamiltonian dynamics on embedded manifolds", in Proceedings of the IMA Conference on Mathematics of Robotics, 2015
- T. Lee, "Geometric adaptive control for aerial transportation of a rigid body", in Proceedings of the IMA Conference on Mathematics of Robotics, 2015
- T. Wu, E. Kaufman, T. Lee, "Globally asymptotically stable attitude observer on SO(3)", in Proceedings of the IEEE Conference on Decision and Control, pp. 2164--2168, 2015
- T. Lee, "Geometric controls for a tethered quadrotor UAV", in Proceedings of the IEEE Conference on Decision and Control, pp. 2749--2754, 2015
- T. Lee, M. Leok, N. H. McClamroch, "Global formulations of Lagrangian and Hamiltonian mechanics on two-spheres", in Proceedings of the IEEE Conference on Decision and Control, pp. 6010--6015, 2015
- E. Kaufman, T. Lovell, T. Lee, "Nonlinear observability measure for relative orbit determination with angles-only measurements", in Proceedings of the AAS/AIAA Space Flight Mechanics Meeting, 2015, AAS 15-451
- T. Lee, F. Leve, M. Leok, N. H. McClamroch, "Lie group variational integrators for spacecraft with variable speed control moment gyros", in Proceedings of the U.S. National Congress on Computational Mechanics, 2015
- T. Wu, T. Lee, "Angular velocity observer on the special orthogonal group for velocity-free rigid-body attitude tracking control", in Proceedings of the European Control Conference, pp. 1824--1829, 2015
- T. Wu, T. Lee, "Spacecraft attitude formation stabilization using lines-of-sight without angular velocity measurements", in Proceedings of the AAS/AIAA Space Flight Mechanics Meeting, 2015, AAS 15-441
- E. Kaufman, T. Lovell, T. Lee, "Minimum uncertainty JPDA filter and coalescence avoidance performance evaluations", in Proceedings of the AAS/AIAA Space Flight Mechanics Meeting, 2015, AAS 15-432
- F. Goodarzi, T. Lee, "Dynamics and control of quadrotor UAVs transporting a rigid body connected via flexible cables", in Proceedings of the American Control Conference, pp. 4677--4682, 2015
- T. Lee, "Collision avoidance via Voronoi tessellation for quadrotor UAVs transporting a payload", in Proceedings of the American Control Conference, pp. 1842--1848, 2015
- S. Dai, T. Lee, D. Bernstein, "Adaptive control of a quadrotor UAV transporting a cable-suspended load with unknown mass", in Proceedings of the IEEE Conference on Decision and Control, pp. 6149--6154, 2014
- T. Wu, T. Lee, "Spacecraft position and attitude formation control using line-of-sight observations", in Proceedings of the IEEE Conference on Decision and Control, pp. 970--975, 2014
- T. Lee, "Geometric control of multiple quadrotor UAVs transporting a cable-suspended rigid body", in Proceedings of the IEEE Conference on Decision and Control, pp. 6155--6160, 2014
- T. Lee, F. Leve, "Lagrangian mechanics and Lie group variational integrators for spacecraft with imbalanced reaction wheels", in Proceedings of the American Control Conference, pp. 3122--3127, 2014
- F. Goodarzi, D. Lee, T. Lee, "Geometric stabilization of a quadrotor UAV with a payload connected by flexible cable", in Proceedings of the American Control Conference, pp. 4925--4930, 2014
- J. Dougherty, D. Lee, T. Lee, "Laser-based guidance of a quadrotor UAV for precise landing on an inclined surface", in Proceedings of the American Control Conference, pp. 1210--1215, 2014
- T. Lovell, T. Lee, "Nonlinear observability for relative satellite orbits with angles-only measurements", in Proceedings of the International Symposium on Space Flight Dynamics, 2014
- E. Kaufman, K. Caldwell, D. Lee, T. Lee, "Design and development of a free-floating hexrotor UAV for 6-DOF maneuvers", in Proceedings of the IEEE Aerospace Conference, 2014
- E. Kaufman, T. Lee, "Optimal joint probabilistic data association filter avoiding coalescence in close proximity", in Proceedings of the European Control Conference, pp. 2709--2714, 2014
- T. Lee, "Stochastic optimal motion planning and global estimation for the attitude kinematics on SO(3)", in Proceedings of the IEEE Conference on Decision and Control, pp. 588--593, 2013
- T. Lee, K. Sreenath, V. Kumar, "Geometric control of cooperating multiple quadrotor UAVs with a suspended load", in Proceedings of the IEEE Conference on Decision and Control, pp. 5510--5515, 2013
- K. Sreenath, T. Lee, V. Kumar, "Geometric control and differential flatness of a quadrotor UAV with a cable-suspended load", in Proceedings of the IEEE Conference on Decision and Control, pp. 2269--2274, 2013
- T. Lee, M. Keidar, "Low-thrust orbital maneuver analysis for CubeSat with micro-cathode thruster", in Proceedings of the International Electric Propulsion Conference, 2013, IEPC-2013-365
- T. Wu, T. Lee, M. Keidar, "Low-thrust attitude control for nano-satellite with micro-cathode thrusters", in Proceedings of the International Electric Propulsion Conference, 2013, IEPC-2013-366
- M. Camblor, A. Xie, G. Cruz, S. Esteban, T. Lee, D. Bernstein, "A numerical comparison of inertia-free attitude control laws for a spacecraft with a discrete flexible mode", in Proceedings of the AIAA Guidance, Navigation and Control Conference, 2013, AIAA 2013-4562
- F. Goodarzi, D. Lee, T. Lee, "Geometric nonlinear PID control of a quadrotor UAV on SE(3)", in Proceedings of the European Control Conference, pp. 3845--3850, 2013
- T. Lee, "Robust global exponential attitude tracking controls on SO(3)", in Proceedings of the American Control Conference, pp. 2103--2108, 2013
- T. Wu, B. Flewelling, F. Leve, T. Lee, "Spacecraft relative attitude formation tracking on SO(3) based on line-of-sight measurements", in Proceedings of the American Control Conference, pp. 4827--4832, 2013
- T. Lee, M. Leok, N. H. McClamroch, "Nonlinear robust tracking control of a quadrotor UAV on SE(3)", in Proceedings of the American Control Conference, pp. 4649--4654, 2012
- T. Lee, M. Leok, N. H. McClamroch, "Dynamics and control of a chain pendulum on a cart", in Proceedings of the IEEE Conference on Decision and Control, pp. 2502--2508, 2012
- T. Lee, "Relative attitude control of two spacecraft on SO(3) using line-of-sight observations", in Proceedings of the American Control Conference, pp. 167--172, 2012
- T. Lee, "Discrete-time optimal feedback control via the discrete Hamilton-Jacobi theory with applications to hybrid systems", in Proceedings of the IEEE Conference on Decision and Control, pp. 7055--7062, 2012
- T. Fernando, J. Chandiramani, T. Lee, H. Gutierrez, "Robust adaptive geometric tracking controls on SO(3) with an application to the attitude dynamics of a quadrotor UAV", in Proceedings of the IEEE Conference on Decision and Control, pp. 7380--7385, 2011
- T. Lee, M. Leok, N. H. McClamroch, "Geometric numerical integration for complex dynamics of tethered spacecraft", in Proceedings of the American Control Conference, pp. 1885--1891, 2011
- T. Lee, M. Leok, N. H. McClamroch, "Stable manifolds of saddle points for pendulum dynamics on S2 and SO(3)", in Proceedings of the IEEE Conference on Decision and Control, pp. 3915--3921, 2011
- T. Lee, M. Leok, N. H. McClamroch, "Geometric tracking control of a quadrotor UAV for extreme maneuverability", in Proceedings of the World Congress of the International Federation of Automatic Control, pp. 6337--6342, 2011
- T. Lee, "Geometric tracking control of the attitude dynamics of a rigid body on SO(3)", in Proceedings of the American Control Conference, pp. 1200--1205, 2011
- T. Lee, M. Leok, N. H. McClamroch, "Geometric tracking control of a quadrotor UAV on SE(3)", in Proceedings of the IEEE Conference on Decision and Control, pp. 5420--5425, 2010
- T. Lee, M. Leok, N. H. McClamroch, "Computational geometric optimal control of connected rigid bodies in a perfect fluid", in Proceedings of the American Control Conference, pp. 5985--5990, 2010
- T. Lee, M. Leok, N. H. McClamroch, "Dynamics of connected rigid bodies in a perfect fluid", in Proceedings of the American Control Conference, pp. 408--413, 2009
- T. Lee, M. Leok, N. H. McClamroch, "Dynamics of a 3D elastic string pendulum", in Proceedings of IEEE Conference on Decision and Control, pp. 3347--3352, 2009
- T. Lee, M. Leok, N. H. McClamroch, "Global symplectic uncertainty propagation on SO(3)", in Proceedings of the IEEE Conference on Decision and Control, pp. 61--66, 2008
- T. Lee, M. Leok, N. H. McClamroch, "Time optimal attitude control for a rigid body", in Proceedings of the American Control Conference, pp. 5210--5215, 2008
- T. Lee, M. Leok, N. H. McClamroch, "Optimal attitude control for a rigid body with symmetry", in Proceedings of the American Control Conference, pp. 1073--1078, 2007
- T. Lee, M. Leok, N. H. McClamroch, "A combinatorial optimal control problem for spacecraft formation reconfiguration", in Proceedings of the IEEE Conference on Decision and Control, pp. 5370--5375, 2007
- T. Lee, M. Leok, N. H. McClamroch, A. Sanyal, "Global attitude estimation using single direction measurements", in Proceedings of the American Control Conference, pp. 3659--3664, 2007
- T. Lee, N. Chaturvedi, A. Sanyal, M. Leok, N. H. McClamroch, "Propagation of uncertainty in rigid body attitude flows", in Proceedings of the IEEE Conference on Decision and Control, pp. 2689--2694, 2007
- E. Fahnestock, T. Lee, M. Leok, N. H. McClamroch, D. Scheeres, "Polyhedral potential and variational integrator computation of the full two body problem", in Proceedings of the AIAA/AAS Astrodynamics Specialist Conference and Exhibit, 2006, AIAA 2006-6289
- T. Lee, M. Leok, N. H. McClamroch, "Optimal control of a rigid body using geometrically exact computations on SE(3)", in Proceedings of the IEEE Conference on Decision and Control, pp. 2170--2175, 2006
- T. Lee, M. Leok, N. H. McClamroch, "Attitude maneuvers of a rigid spacecraft in a circular orbit", in Proceedings of the American Control Conference, pp. 1742--1747, 2006
- T. Lee, A. Sanyal, M. Leok, N. H. McClamroch, "Deterministic global attitude estimation", in Proceedings of the IEEE Conference on Decision and Control, pp. 3174--3179, 2006
- T. Lee, M. Leok, N. H. McClamroch, "A Lie group variational integrator for the attitude dynamics of a rigid body with application to the 3D pendulum", in Proceedings of the IEEE Conference on Control Application, pp. 962--967, 2005
- T. Lee, Y. Kim, D. Kim, "Stability analysis of nonlinear flight control using neural networks", in Proceedings of the 3rd Asian Control Conference, 2000
- T. Lee, Y. Kim, "Robust nonlinear control of flight dynamics using backstepping controller", in Proceedings of the Korean Society for Aeronautical and Space Sciences Fall Conference, 1999
- T. Lee, Y. Kim, "Nonlinear adaptive control of flight dynamics using backstepping and neural networks controller", in Proceedings of the Institute of Control, Automation, and System Engineering 5th Conference, 1999
- J. Ahn, T. Lee, Y. Kim, "Real-time missile trajectory optimization using parameter optimization", in Proceedings of the Japan Society for Aeronautical and Space Sciences (JSASS) 13th International Sessions in 37th Aircraft Symposium, 1999
Presentations and Other Contributions
- E. Kaufman, T. Lee, "Geometric adaptive control for aerial transportation of a rigid body", 2015, Presented at International Conference on Robotics and Automation
- T. Lee, M. Leok, "Computational geometric uncertainty propagation and global estimation for Hamiltonian systems on a Lie group", in Proceedings of the NSF CMMI Research and Innovation Conference, 2012
- T. Lee, M. Leok, "Computational geometric uncertainty propagation for Hamiltonian systems on a Lie group", in Proceedings of the NSF CMMI Research and Innovation Conference, 2011