Trajectory tracking control of port-controlled Hamiltonian systems via generalized canonical transformations

Automatica

Volumn 39, Issue 12, 2003, Pages 2059-2069

  Fujimoto, Kenji ^a   Sakurama, Kazunoir ^a   Sugie, Toshiharu ^a  

^a KYOTO UNIVERSITY   (Japan)

Author keywords

Nonlinear control; Physical models; Tracking systems

Indexed keywords

CONTROL EQUIPMENT; ELECTROMECHANICAL DEVICES; ERROR ANALYSIS; HAMILTONIANS; MAGNETIC LEVITATION; THEOREM PROVING; TRACKING (POSITION); TRAJECTORIES;

TRACKING SYSTEMS;

NONLINEAR CONTROL SYSTEMS;

EID: 0242271334     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2003.07.005     Document Type: Article

References (22)

1. Blankenstein G., Ortega R., van der Schaft A.J. The matching conditions of controlled Lagrangians and IDA-passivity based control. International Journal of Control. 75(9):2002;645-665.
2. Bloch, A. M., Chang, D., Leonard, N. E., & Marsden, J. E. (2002). Potential and kinetic shaping for control of underactuated mechanical systems. In Proceedings of American Control Conference, Anchorage, USA, (pp. 3913-3917).
3. Bloch A.M., Leonard N.E., Marsden J.E. Controlled Lagrangians and the stabilization of mechanical systems I: The first matching theorem. IEEE Transactions of Automatic Control. AC-45(12):2000;2253-3370.
4. Flashner H., Skowronski J.M. Model tracking control of Hamiltonian systems. Transactions on ASME, Journal of Dynamics Systems, Measurement and Control. 111:1989;656-659.
5. Fujimoto, K., Ishikawa, K., & Sugie, T. (1999). Stabilization of a class of Hamiltonian systems with nonholonomic constraints and its experimental evaluation. In Proceedings of the 38th IEEE Conference on Decision and Control, Phoenix, USA, (pp. 3478-3483).
6. Fujimoto, K., & Scherpen, J. M. A. (2000). Time-varying output feedback stabilization of a class of nonholonomic Hamiltonian systems via canonical transformations. In Proceedings of the 39th IEEE Conference on Decision and Control, Sydney, Australia, (pp. 2928-2933).
7. Fujimoto K., Scherpen J.M.A., Gray W.S. Hamiltonian realizations of nonlinear adjoint operators. Automatica. 38(10):2002;1769-1775.
8. Fujimoto, K., & Sugie, T. (1998). Canonical transformation and stabilization of generalized Hamiltonian systems. In Proceedings of the fourth IFAC Symposium on Nonlinear Control Systems, Enschede, The Netherlands, (pp. 544-549).
9. Fujimoto K., Sugie T. Canonical transformation and stabilization of generalized Hamiltonian systems. Systems and Control Letters. 42(3):2001;217-227.
10. Fujimoto K., Sugie T. Freedom in coordinate transformation for exact linearization and its application to transient behavior improvement. Automatica. 37(1):2001;137-144.
11. Fujimoto K., Sugie T. Stabilization of Hamiltonian systems with nonholonomic constraints based on time-varying generalized canonical transformations. Systems and Control Letters. 44(4):2001;309-319.
12. Fujimoto, K., & Sugie, T. (2003). Iterative learning control of Hamiltonian systems: I/O based optimal control approach. IEEE Transactions on Automatic Control, 48(10), to appear.
13. Hamberg, J. (2000). Controlled Lagrangians, symmetries and conditions for strong matching. In Proceedings of the IFAC workshop on Lagrangian and Hamiltonian methods for Nonlinear Control, Princeton, USA, (pp. 62-67).
14. Khalil, H.K. (2001). Nonlinear systems. 3rd Edition, New York: Prentice Hall.
15. Maschke, B. M. J., & van der Schaft, A. J. (1992). Port-controlled Hamiltonian systems: modeling origins and system-theoretic properties. In IFAC symposium on Nonlinear Control Systems, Borbeaux, France, (pp. 282-288).
16. Ortega R., Loría A., Nicklasson P.J., Sira-Rmírez H. Passivity-based control of Euler-Lagrange systems. 1998;Springer, London.
17. Ortega R., van der Schaft A.J., Maschke B.M.J., Escobar G. Interconnection and damping assignment passivity-based control of port-controlled Hamiltonian systems. Automatica. 38(4):2002;585-596.
18. Slotine J.-J.E., Li W. Composite adaptive control of robot manipulators. Automatica. 25(4):1989;509-519.
19. Stramigioli, S., Maschke, B. M. J., & van der Schaft, A. J. (1998). Passive output feedback and port interconnection. In Proceedings of the fourth IFAC symposium on nonlinear control systems, Enschede, The Netherlands, (pp. 613-618).
20. 2 -gain and passivity techniques in nonlinear control:2000;Springer, London.
21. Woolsey, C. A., & Leonard, N. E. (2000). Modification of Hamiltonian structure to stabilize an underwater vehicle. In Proceedings of the IFAC workshop on Lagrangian and Hamiltonian methods for nonlinear control, Princeton, USA, (pp. 185-186).
22. Zenkov, D. V., Bloch, A. M., & Marsden, J. E. (2002). Flat nonholonomic matching. In Proceedings of the American Control Conference, Anchorage, USA, (pp. 2812-2817).