Title :
ℋ∞ dynamic output feedback control of switched stochastic systems
Author :
Wu, Ligang ; Ho, Daniel W C ; Li, C.W.
Author_Institution :
Space Control & Inertial Technol. Res. Center, Harbin Inst. of Technol., Harbin, China
Abstract :
This paper is concerned with the H∞ dynamic output feedback (DOF) control problem for continuous-time switched stochastic systems. By applying the average dwell time method and the piecewise Lyapunov function technique, a sufficient condition is first proposed, which guarantees the closed-loop switched stochastic system to be mean-square exponentially stable with a weighted H∞ performance. The H∞ DOF controller can be found by solving a set of linear matrix inequalities (LMIs). A numerical example is provided to illustrate the effectiveness of the proposed theories.
Keywords :
H∞ control; Lyapunov methods; asymptotic stability; feedback; linear matrix inequalities; stochastic systems; H∞ dynamic output feedback control; average dwell time method; linear matrix inequalities; mean square exponential stability; piecewise Lyapunov function; switched stochastic systems; Control systems; Linear matrix inequalities; Lyapunov method; Output feedback; Space technology; Stability; Stochastic systems; Sufficient conditions; Switched systems; Symmetric matrices;
Conference_Titel :
Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009. Proceedings of the 48th IEEE Conference on
Conference_Location :
Shanghai
Print_ISBN :
978-1-4244-3871-6
Electronic_ISBN :
0191-2216
DOI :
10.1109/CDC.2009.5400305
