Optimal control of Hamiltonian systems with input constraints via iterative learning

Proceedings of the IEEE Conference on Decision and Control

Volumn 5, Issue , 2003, Pages 4387-4392

  Fujimoto, Kenji ^a   Horiuchi, Tetsu ^a   Sugie, Toshiharu ^a  

^a KYOTO UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTER SIMULATION; CONSTRAINT THEORY; HAMILTONIANS; ITERATIVE METHODS; LEARNING SYSTEMS; MANIPULATORS; PROBLEM SOLVING;

HAMILTONIAN SYSTEMS; ITERATIVE LEARNING;

OPTIMAL CONTROL SYSTEMS;

EID: 1542350289     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: 10.1109/CDC.2003.1272188     Document Type: Conference Paper

References (14)

1. S. Arimoto. Control Theory of Non-linear Mechanical Systems: Passivity-based and Circuit-theoretic Approach. Clarendon Press, Oxford, 1996.
2. S. Arimoto, S. Kawamura, and F. Miyazaki. Bettering operation of robotics. Journal of Robotic Systems, 1(2):123-140, 1984.
3. A. M. Bloch, N. E. Leonard, and J. E. Marsden. Controlled Lagrangians and the stabilization of mechanical systems I: The first matching theorem. IEEE Trans. Autom. Contr., AC-45(12):2253-3370, 2000.
4. K. Fujimoto, H. Kakiuchi, and T. Sugie. Iterative learning control of Hamiltonian systems. In Proc. 41th IEEE Conf. on Decision and Control, pages 3344-3349, 2002.
5. K. Fujimoto and T. Sugie. Canonical transformation and stabilization of generalized Hamiltonian systems. Systems & Control Letters, 42(3):217-227, 2001.
6. K. Fujimoto and T. Sugie. On adjoints of Hamiltonian systems. In Proc. of IFAC World Congress, pages 1602-1607, 2002.
7. K. Fujimoto and T. Sugie. Basic framework for I/O based optimal control of Hamiltonian systems. In Proc. IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control, pages 113-118, 2003.
8. K. Fujimoto and T. Sugie. Basic framework for I/O based optimal control of Hamiltonian systems. To appear in Proc. IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control, 2003.
9. J. E. Marsden and T. S. Ratiu. Introduction to Mechanics and Symmetry, volume 17 of Texts in Applied Mathematics. Springer-Verlag, New York, second edition, 1999.
10. R. Ortega, A. Lor'a, P. J. Nicklasson, and H. Sira-Rm'rez. Passivity-based Control of Euler-Lagrange Systems. Springer-Verlag, London, 1998.
11. R. Ortega, A. J. van der Schaft, B. M. J. Maschke, and G. Escobar. Interconnection and damping assignment passivity-based control of port-controlled Hamiltonian systems. Automatica, 38(4):585-596, 2002.
12. T. Sugie, K. Fujimoto, and Y. Kito. Obstacle avoidance of manipulators with rate constraints. IEEE Trans. Robotics and Automation, 19(1):168-174, 2003.
13. 2-Gain and Passivity Techniques in Nonlinear Control. Springer-Verlag, London, 2000.
14. L. C. Young. Lectures on the Calculus of Variations and Optimal Control Theory. W. B. Saunders Company, Philadelphia, 1969.