On-line optimal timing control of switched systems

Proceedings of the IEEE Conference on Decision and Control

Volumn , Issue , 2010, Pages 2137-2142

  Wardi, Y ^a   Twu, P ^a   Egerstedt, M ^a  

^a GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DYNAMICAL SYSTEMS; EQUATIONS OF STATE; ROBUSTNESS (CONTROL SYSTEMS); TIMING CIRCUITS;

CONTROLLED PARAMETER; FIRST-ORDER ALGORITHMS; HYBRID DYNAMICAL SYSTEMS; OPTIMAL TIMING CONTROL; PERFORMANCE FUNCTIONS; PERFORMANCE OPTIMIZATIONS; REAL TIME ALGORITHMS; RESPONSE FUNCTIONS;

REAL TIME SYSTEMS;

EID: 79953127608     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: 10.1109/CDC.2010.5717840     Document Type: Conference Paper

References (15)

1. X. Xu and P. Antsaklis, "Optimal Control of Switched Autonomous Systems", in Proc. IEEE Conference on Decision and Control, Las Vegas, Nevada, December 10-13, 2002.
2. M.S. Branicky, V.S. Borkar, and S.K. Mitter, "A Unified Framework for Hybrid Control: Model and Optimal Control Theory" IEEE Trans. on Automatic Control, Vol. 43, pp. 31-45, 1998.
3. B. Piccoli, "Hybrid Systems and Optimal Control", Proc. IEEE Conference on Decision and Control, Tampa, Florida, December 16-18, pp. 13-18, 1998.
4. H.J. Sussmann, "Set-Valued Differentials and the Hybrid Maximum Principle", in Proc. IEEE Conf. on Decision and Control, Sydney, Australia, December 12-15, pp. 558-563, 2000.
5. M.S. Shaikh and P. Caines, "On Trajectory Optimization for Hybrid Systems: Theory and Algorithms for Fixed Schedules", in Proc. IEEE Conf. on Decision and Control, Las Vegas, Nevada, December 10-13, pp. 1997-1998, 2002.
6. S. Hedlund and A. Rantzer, "Optimal Control of Hybrid Systems", in Proc. IEEE Conf. on Decision and Control, Phoenix, Arizona, December 7-10, pp. 3972-3977, 1999.
7. X. Xu and P.J. Antsaklis, "Optimal Control of Switched Systems via Nonlinear Optimization Based on Direct Differentiations of Value Functions", Int. J. of Control, Vol. 75, pp. 1406-1426, 2002.
8. P. Caines and M.S. Shaikh, "Optimality Zone Algorithms for Hybrid Systems Computation and Control: Exponential to Linear Complexity", in Proc. 13th Mediterranean Conference on Control and Automation, Limassol, Cyprus, pp. 1292-1297, June 27-29, 2005.
9. S.A. Attia, M. Alamir, and C. Canudas de Wit, "Sub Optimal Control of Switched Nonlinear Systems Under Location and Switching Constraints", in Proc. 16th IFAC World Congress, Prague, the Czech Republic, July 3-8, 2005.
10. S. Azuma, M. Egerstedt, and Y. Wardi, "Output-Based Optimal Timing Control of Switched Systems", in Proc. Hybrid Systems: Computation and Control, Springer-Verlag, pp. 64-78, Santa Barbara, CA, March 2006.
11. X.C. Ding, Y. Wardi, and M. Egerstedt, "On-Line Optimization of Switched-Mode Dynamical Systems", IEEE Transactions on Automatic Control, Vol. 54, No. 9, pp. 2266-2271, 2009.
12. X.C. Ding, Y. Wardi, and M. Egerstedt, "On-line Adaptive Optimal Timing Control of Switched Systems", in Proc. IEEE CDC, Shanghai, China, Dec. 16-18, 2009.
13. Y. Wardi, P. Twu, and M. Egerstedt, "On-line Optimal Timing Control of Switched Systems", Technical Memorandum, http://www.ece.gatech.edu/ ~magnus/OnlineOptimalTiming.pdf.
14. E. Polak, Optimization Algorithms and Consistent Approximations, Springer-Verlag, New York, New York, 1997.
15. H. Axelsson, M. Egerstedt, G. Vachtsevanos, and Y. Wardi, "Algorithms for Switching-Time Optimization in Hybrid Systems", in Proc. 13th Mediterranean Conference on Control and Automation, Limassol, Cyprus, June 27-29, 2005.