Title :
Robust stabilization for a class of uncertain discrete-time switched linear systems
Author :
Chen, Song-lin ; Yao, Yu ; Ma, Jie
Author_Institution :
Control & Simulation Center, Harbin Inst. of Technol., Harbin
Abstract :
The problem of robust stabilization for a class of discrete-time switched linear systems with norm-bounded time-varying uncertainties is investigated. The purpose is to construct a switching rule and design a state feedback control law, such that, the closed-loop system is asymptotically stable for all admissible uncertainties under the constructed switching rule. Based on the multiple Lyapunov functions approach and matrix inequality technique, a new condition for the existence of state feedback control law and switching rule is derived. The condition can be dealt with as linear matrix inequalities (LMIs) if some scalars parameters are selected in advance. An example illustrates the effectiveness of the proposed results.
Keywords :
Lyapunov methods; asymptotic stability; closed loop systems; control system synthesis; discrete time systems; linear matrix inequalities; robust control; state feedback; time-varying systems; uncertain systems; asymptotically stable system; closed-loop system; linear matrix inequalities; multiple Lyapunov functions approach; norm-bounded time-varying uncertainties; robust stabilization; state feedback control law design; switched linear systems; switching rule; uncertain discrete-time systems; Control systems; Linear matrix inequalities; Linear systems; Lyapunov method; Robust control; Robustness; Signal design; State feedback; Switched systems; Uncertainty; Hybrid System; Robust stabilization; Switched linear system; Switching rule; Uncertainties;
Conference_Titel :
Machine Learning and Cybernetics, 2008 International Conference on
Conference_Location :
Kunming
Print_ISBN :
978-1-4244-2095-7
Electronic_ISBN :
978-1-4244-2096-4
DOI :
10.1109/ICMLC.2008.4620798
