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Journal of Applied Sciences ›› 2006, Vol. 24 ›› Issue (2): 181-186.

• Articles • Previous Articles     Next Articles

Quadratic Guaranteed Cost Control of a Class of Uncertain Discrete Time Delay Switched Systems

SUN Wen-an2, SHEN Lian-shan2, ZOU Kai-qi1,2, LI Pi-xian2   

  1. 1. Liaoning Key Lab of Intelligent Information Processing, Dalian 116622, China;
    2. College of Information Engineering, Dalian University, Dalian 116622, China
  • Received:2005-01-03 Revised:2005-08-01 Online:2006-03-31 Published:2006-03-31

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Abstract: For a class of discrete-time state delay switched systems with norm-bounded time-varying parameter uncertainty, this paper addresses the problem of designing the guaranteed cost state feedback controller of quadratic stabilization under arbitrary switching laws.A condition for the existence of guaranteed cost controllers is derived.This condition can be solved easily with the MATLAB LMI toolbox.A numerical example shows the effectiveness of the method.

Key words: linear matrix inequalities (LMI), Schur complement lemma, discrete-time state delay switched systems, guaranteed cost control, quadratic stability

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