A gradient-based approach to a class of hybrid optimal control problems

Analysis and Design of Hybrid Systems 2006

Volumn , Issue , 2006, Pages 89-94

  Azhmyakov, Vadim ^a   Raisch, Jörg ^a,b  

^a TECHNISCHE UNIVERSITÄT BERLIN   (Germany)

^b MAX PLANCK INSTITUTE FOR DYNAMICS OF COMPLEX TECHNICAL SYSTEMS   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

OPTIMAL CONTROL SYSTEMS;

CONTINUOUS CONTROLLER; EXPLICIT FORMULA; FINITE NUMBER; GRADIENT BASED; HETEROGENEOUS SYSTEMS; HYBRID CONTROL SYSTEMS; HYBRID OPTIMAL CONTROL; NEW APPROACHES; OPTIMAL CONTROL PROBLEM; OPTIMAL TRAJECTORIES;

MAXIMUM PRINCIPLE;

EID: 38049144167     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.3182/20060607-3-it-3902.00019     Document Type: Chapter

References (19)

1. Azhmyakov V. Stable Operators in Analysis and Optimization 2005, Peter Lang, Berlin.
2. Benedetto M.D., Sangiovanni-Vincentelli A. Hybrid Systems Computation and Control 2001, Springer, Heidelberg.
3. Berkovitz L.D. Optimal Control Theory 1974, Springer, New York.
4. Branicky M.S., Borkar V.S., Mitter S.K. A unifed framework for hybrid control: model and optimal control theory. IEEE Trans. Automat. Contr. 1998, 43:31-45.
5. Caines R., Shaikh M.S. Optimality zone algorithms for hybrid systems computation and control: From exponential to linear complexity. Proceedings of the 13th Mediterranean Conference on Control and Automation 2005, 1292-1297.
6. Cassandras C., Pepyne D.L., Wardi Y. Optimal control of a class of hybrid systems. IEEE Trans. Automat. Contr. 2001, 46:398-415.
7. Clarke F.H., Ledyaev Yu.S., Stern R.J., Wolenski R.R. Nonsmooth Analysis and Control Theol 1998, Springer, New York.
8. Fiacco A.V., McCormick G. Nonlinear Programming: Sequential Unconstrained Minimization Techniques 1968, Wiley, New York.
9. Filippov A.F. Differential Equations with Discontinuous Right-Hand Sides 1988, Kluwer Academic Publishers, Dordrecht.
10. Ioffe A.D., Tichomirov V.M. Theory of Extremal Problems 1979, North Holland, Amsterdam.
11. Special issue on hybrid systems. Automatica 1999, 35. A.S. Morse, C.C. Pantelides, S. Sastry (Eds.).
12. Piccoli B. Hybrid systems and optimal control. Proceedings of the 37th IEEE Conference on Decision and Control 1998, 13-18.
13. Piccoli B. Necessary conditions for hybrid optimization. Proceedings of the 38th IEEE Conference on Decision and Control 1999, 410-415.
14. Polak E. Optimization 1997, Springer, New York.
15. Pontryagin L.S., Boltyanski V.G., Gamkrelidze R.V., Mischenko E.F. The mathematical Theory of Optimal Processes 1962, Wiley, New York.
16. Raisch J. Hybride Steuerungssysteme 1999, Shaker, Aachen.
17. Shaikh M.S., Caines R.E. On the hybrid optimal control problem: The hybrig maximum principle and dynamic programming theorem. IEEE Trans. Automat. Contr. 2004, submitted.
18. Sussmann H. A maximum principle for hybrid optimal control problems. Proceedings of the 38th IEEE Conference on Decision and Control 1999, 425-430.
19. Teo K.L., Goh C.J., Wong K.H. A Unifed Computational Approach to Optimal Control Problems 1991, Wiley, New York.