Title :
Decentralized control for discrete-time switched large-scale linear systems
Author_Institution :
Sch. of Sci., Shenyang Jianzhu Univ., Shenyang, China
Abstract :
Based on convex combination technique and LMI (linear matrix inequality) approach, the problems of asymptotic stability and decentralized state feedback stabilization for a class of discrete-time switched large-scale linear systems are considered. Under the condition that any subsystem of each low-dimensional discrete-time subsystem is unstable or can not be stabilized, decentralized controllers and decentralized switching laws are designed to guarantee closed-loop systems be asymptotically stable. A sufficient condition of stabilization is expressed as the solvability problems of linear matrix inequalities. Feasible algorithm is presented. A numerical example shows the effectiveness of the method.
Keywords :
asymptotic stability; closed loop systems; computability; control system synthesis; decentralised control; discrete time systems; large-scale systems; linear matrix inequalities; linear systems; stability criteria; state feedback; time-varying systems; LMI approach; asymptotic stability; closed loop systems; convex combination technique; decentralized controller; decentralized state feedback stabilization; decentralized switching laws; discrete time switched large scale linear system; linear matrix inequalities; low-dimensional discrete time subsystem; solvability problems; stabilization condition; Distributed control; Large-scale systems; Linear matrix inequalities; Sufficient conditions; Switches; Symmetric matrices;
Conference_Titel :
Intelligent Control and Information Processing (ICICIP), 2011 2nd International Conference on
Conference_Location :
Harbin
Print_ISBN :
978-1-4577-0813-8
DOI :
10.1109/ICICIP.2011.6008258
