Title :
Linear quadratic optimization for hybrid systems
Author :
Riedinger, P. ; Kratz, F. ; Iung, C. ; Zanne, C.
Author_Institution :
CNRS, Vandoeuvre-les-Nancy, France
Abstract :
A general optimal hybrid control problem which enables a direct maximum principle approach is presented. Necessary conditions at switching time for controlled and autonomous switching are derived in the case where a linear quadratic criteria is used. Further extra condition for stability of switched systems is addressed. Finally, an illustrative example of optimal hybrid control problem is treated
Keywords :
continuous time systems; discrete time systems; linear quadratic control; maximum principle; stability; autonomous switching; hybrid dynamical systems; linear quadratic control; maximum principle; necessary conditions; optimal control; stability; Automata; Automatic control; Control systems; Differential equations; Electromechanical systems; Optimal control; Potential well; Stability; Switched systems; Switches;
Conference_Titel :
Decision and Control, 1999. Proceedings of the 38th IEEE Conference on
Conference_Location :
Phoenix, AZ
Print_ISBN :
0-7803-5250-5
DOI :
10.1109/CDC.1999.831404
