Suboptimal switched controls in context of singular arcs

Proceedings of the IEEE Conference on Decision and Control

Volumn 6, Issue , 2003, Pages 6254-6259

  Riedinger, P ^a   Daafouz, J ^a   Iung, C ^a  

^a CENTRE DE RECHERCHE EN AUTOMATIQUE DE NANCY   (France)

Author keywords

[No Author keywords available]

Indexed keywords

DECISION THEORY; NUMERICAL ANALYSIS; OPTIMIZATION; PROBLEM SOLVING; SWITCHING; TRAJECTORIES;

OPTIMAL EMBEDDED SOLUTIONS; SINGULAR ARCS; SUBOPTIMAL SWITCHED CONTROL;

OPTIMAL CONTROL SYSTEMS;

EID: 1542318375     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: 10.1109/CDC.2003.1272292     Document Type: Conference Paper

References (25)

1. M. S. Branicky, V. S. Borkar S. K. Mitter, A Unified Framework for Hybrid Control: Model and Optimal Control Theory,IEEE Trans. on Aut. Com., vol(43)(1), 1998.
2. P. Riedinger, C. Iung, F. Kratz, An Optimal Control Approach for Hybrid Systems, soumis à European Journal of Control et rapport interne CRAN, 2000.
3. H.J. Sussmann, A maximum principle for hybrid optimal control problems, proc. of the 38th IEEE Conf. on Decision and Control,pp 425-430, 1999.
4. D. P. Bertsekas. Dynamic Programming and Optimal Control. Athena Scientific, 2nd edition, 2000.
5. L.S. Pontryagin,V. G. Boltyanskii, R.V. Gamkrelidze & E. F. Mishchenko (1964), The Mathematical Theory of Optimal Processes, Pergamon.
6. L.D. Berkovitz Optimal Control Theory, Applied Mathematical sciences, Springer Verlag 1974.
7. E.D. Sontag, Mathematical Control Theory, Texts in Applied Mathematics 6, Springer Verlag, 1990.
8. Hedlund S. et Rantzer A., Optimal Control of Hybrid Systems, Proceedings of 38th IEEE Conf. on Decision and Control, Phoenix, 1999.
9. Bo Lincoln, Anders Rantzer, Relaxed Optimal Control of Piecewise Linear Systems, ADSH 03 Saint Malot, France 2003.
10. M. S. Branicky, S. K. Mitter (1998), Algorithms for Optimal Control, proc. IEEE Conf. on Decision and Control, pp 2661-2666, 1995.
11. H. Ye, A. N. Michel & L. Hou (1995), Stability Theory for Hybrid Dynamical Systems, 34th IEEE Conf. on Decision and Control, 2679-2684.
12. C. G. Cassandras, Q. Liu, K. Gokbayrak, Optimal Control of a two stage hybrid manufacturing system model, proc. of the 38th IEEE Conf. on Decision and Control,pp 450-455, 1999.
13. P. Riedinger, F. Kratz, C. Iung & C. Zanne (1999), Linear Quadratic Optimization for Hybrid Systems, proc. of the 38th IEEE Conf. on Decision and Control, 3059-3064.
14. M. Johansson, Piecewise Linear Control Systems, Ph. D. Dissertation, Lund Inst. of Tech. Sweden, 1999.
15. A. Rantzer, Piecewise Linear Quadratic Optimal Control, IEEE Transactions on Automatic Control, April 2000.
16. J. Daafouz, P. Riedinger, C. Iung, Static Output Feedback Control for Switched Systems, proc. 40th IEEE Conference on Decision and Control, Orlando, 2001.
17. X. Xu, P. J. Antsaklis, An approach for solving General switched Linear Quadratic Optimal Control Problems, proc. 40th IEEE Conf. on Decision and Control, 2001.
18. A.Bemporad, D.Corona, A.Giua, C.Seatzu, Optimal State-Feedback Quadratic Regulation of Linear Hybrid Automata, ADSH Saint Malot, France juillet 2003.
19. Y.L. Lootsma, A.J. van der Schaft & M. K. Camlibel (1999), Uniqueness of solutions of linear relay systems, in Automatica 35(3) 467-478.
20. P. Riedinger, C. Zanne & F. Kratz (1999), Time Optimal Control of Hybrid Systems, proc. IEEE American Control Conference, 2466-2470.
21. P. Riedinger, Contribution à la commande optimale des systèmes hybrides, Ph D thesis, Institut National Polytechnique de Lorraine, France 1999.
22. S. Bengea, R. DeCarlo Conditions for the existence of a solution to a two switched hybrid optimal control problem, submit to ADSH Saint Malot, 2003.
23. F.H.Clarke, Optimization and Nonsmooth Analysis, SIAM, 1990.
24. B. Jakubczyk & W. Respondek (1998), Geometry of feedback and optimal control, Marcel DEKKER.
25. V.I. Utkin, Sliding Modes in Control Optimization, Springer-Verlag, 1992.