On the optimal control of hybrid systems: Optimization of trajectories, switching times, and location schedules

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 2623, Issue , 2003, Pages 466-481

  Shaikh, M Shahid ^a   Caines, Peter E ^a  

^a MCGILL UNIVERSITY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTATION THEORY; HYBRID SYSTEMS; MAXIMUM PRINCIPLE; OPTIMAL CONTROL SYSTEMS;

HYBRID OPTIMAL CONTROL; HYBRID SYSTEM TRAJECTORIES; OPTIMAL CONTROLS; OPTIMALITY; PENALTY FUNCTION METHODS; SWITCHING TIME; SYSTEMS OPTIMIZATION; VARIATIONAL PRINCIPLES;

OPTIMIZATION;

EID: 35248862542     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/3-540-36580-x_34     Document Type: Article

References (14)

1. Bazaraa, M.S., C.M. Shetty, C.M.: Nonlinear programming theory and algorithms. John Wiley & Sons, New York (1979)
2. Berkovitz, L.D.: Variational methods in problems of control and programming. J. Math. Anal. Appl. Vol. 3, (1961) 145-169
3. Branicky, M.S.: Studies in Hybrid Systems: Modeling, Analysis, and Control. PhD thesis, Department of Electrical Engineering and Computer Science, Massachusetts Institute of Technology, Cambridge, MA (1995)
4. Broucke, M., Benedetto, M.D.D., Gennaro, S.D., Sangiovanni-Vincentelli, A.: Theory of optimal control using bisimulations. Proceedings of the third international workshop, Hybrid Systems: Computation and Control. Springer-Verlag. Pittsburgh, CA (2000) 89-102
5. Caines, P.E.: Notes on Hybrid Systems. Technion & McGill University (2001)
6. Ekeland, I.: Nonconvex minimization problems. Bull. Amer. Math. Soc. Vol. 1, No. 3 (1979) 443-474
7. Riedinger, P., Kratz, F., Iung, C., Zanne, C.: Linear Quadratic Optimization of Hybrid Systems. Proceedings of the 38th IEEE Conference on Decision and Control, Phoenix, AZ (1999) 3059-3064
8. Shaikh, M.S.: Optimal Control of Hybrid Systems: Theory and Algorithms. PhD thesis, in preparation, Department of Electrical and Computer Engineering, McGill University (2002)
9. Shaikh, M.S., Caines, P.E.: Trajectory Optimization for Hybrid Control Systems. ECE Research Report, McGill University (2002)
10. Shen, G., Caines, P.E.: Hierarchically accelerated dynamic programming for finite state machines. IEEE Transactions on Automatic Control, (2002) 271-283
11. Papadimitriou, C.H., Steiglitz, K.: Combinatorial Optimization: Algorithms and Complexity. Prentice-Hall, Inc. Englewood Cliffs, NJ, (1982)
12. Sussmann, H. A maximum principle for hybrid optimal control problems Proceedings of the 38th IEEE Conference on Decision and Control, Phoenix, AZ, pp.425-430, (1999)
13. Xu, X., Antsaklis, P.J.: An approach for solving general switched linear quadratic optimal control problems. Proceedings of the 40th IEEE Conference on Decision and Control, Orlando, FL (2001) 2478-2483
14. Xu, X., Antsaklis, P.J.: An approach to optimal control of switched systems with internally forced switchings. Proceedings of the American Control Conference, Anchorage, AK (2002) 148-153