Title :
H∞ optimal control of time-varying systems with L 2-bounded state constraints
Author :
Mordukhovich, Boris S. ; Zhang, Kaixia
Author_Institution :
Dept. of Math., Wayne State Univ., Detroit, MI, USA
Abstract :
Presents feedback control design for H∞ optimal control problems of linear time-varying systems with L2-bounded state constraints on a finite time horizon. The design procedure is based on exact penalization and uses a generic constant associated with unconstrained differential games. Under proper constraint qualifications, a complete feedback solution of the constrained H∞ control problem is obtained by using a generalized parametric Riccati differential equation. We also provide explicit calculation formulas to determine the involved parameters
Keywords :
H∞ control; Riccati equations; control system synthesis; differential games; feedback; linear systems; time-varying systems; H∞ optimal control; L2-bounded state constraints; exact penalization; feedback control design; generalized parametric Riccati differential equation; linear time-varying systems; unconstrained differential games; Control systems; Differential equations; Feedback control; Linear feedback control systems; Modeling; Optimal control; Qualifications; Riccati equations; Strain control; Time varying systems;
Conference_Titel :
Decision and Control, 1998. Proceedings of the 37th IEEE Conference on
Conference_Location :
Tampa, FL
Print_ISBN :
0-7803-4394-8
DOI :
10.1109/CDC.1998.761814
