Title :
Uniformly ultimate boundedness control for switched linear systems with parameter uncertainties
Author :
Zhang, Liguo ; Chen, Yangzhou ; Sun, Zhanggu ; Mastorakis, Nikos E. ; Alexsandrov, A.Yu.
Author_Institution :
Fac. of Electron. & Control Eng., Beijing Univ. of Technol., Beijing
Abstract :
This paper presents uniformly ultimate boundedness (UUB) control design for switched linear systems with parametric uncertainties. Only the possible bound of the uncertainty is needed. Under arbitrary switching laws, a continuous state feedback control scheme is proposed in order to guarantee uniformly ultimate boundedness of every system response within an arbitrary small neighborhood of the zero state. The design techniques are based on common Lyapunov functions and Lyapunov minimax approach.
Keywords :
Lyapunov methods; control system synthesis; minimax techniques; state feedback; time-varying systems; Lyapunov functions; Lyapunov minimax approach; continuous state feedback control scheme; control design; parameter uncertainties; switched linear systems; uniformly ultimate boundedness control; Communication switching; Control design; Control systems; Linear systems; Lyapunov method; Stability; State feedback; Switched systems; Uncertain systems; Uncertainty;
Conference_Titel :
American Control Conference, 2008
Conference_Location :
Seattle, WA
Print_ISBN :
978-1-4244-2078-0
Electronic_ISBN :
0743-1619
DOI :
10.1109/ACC.2008.4587113