Title :
Quadratic stabilization of uncertain discrete-time switched linear systems
Author :
Ji, Zhijian ; Wang, Long
Author_Institution :
Dept. of Mechanics & Eng. Sci., Peking Univ., Beijing, China
Abstract :
We first study the quadratic stabilization of discrete-lime switched linear systems when a switching rule is imposed upon the controllers of subsystems. Sufficient conditions are presented to guarantee the quadratic stabilization via switched state/output feedback. Then a sufficient condition is also proposed to guarantee the quadratic stabilization of discrete-time switched linear systems with norm bounded time-varying uncertainties. All the switching rules adopted here are constructively designed and do not depend on any uncertainties.
Keywords :
discrete time systems; linear systems; stability; state feedback; time-varying systems; uncertain systems; discrete-time switched linear system; norm bounded time-varying uncertainties; output feedback; quadratic stabilization; state feedback; switching rule; uncertain system; Asymptotic stability; Control systems; Linear systems; Output feedback; State feedback; Sufficient conditions; Switched systems; Symmetric matrices; Time varying systems; Uncertainty;
Conference_Titel :
Systems, Man and Cybernetics, 2004 IEEE International Conference on
Print_ISBN :
0-7803-8566-7
DOI :
10.1109/ICSMC.2004.1399842
