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Guaranteed cost control for uncertain singular timedelay systems
with nonlinear perturbation

JIAO Jianmin 1, SUN Xiaojun 1, WU Baowei 2   

  1. 1. Department of Mathematics, Baoji University of Arts and Sciences, Baoji 721013, China;
    2. College of Mathematics and Information Science,Shaanxi Normal University, Xi’an 710062, China
  • Received:2008-04-14 Revised:1900-01-01 Online:2009-04-16 Published:2009-04-16

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Abstract:

The guaranteed cost control problem was studied regarding a class of uncertain singular timedelay systems with nonlinear perturbation. Based on the Lyapunov stability theory and the linear matrix inequality approach,the sufficient condition and conformation approach of the guaranteed cost controller was given, which could make the closedloop systems quadratic stable for all admissible uncertainties,as well as guarantying the cost was bounded in a limitation. Finally, an example′s result showed the efficiency of this method.

Key words: nonlinear perturbation, singular system, guaranteed cost control, linear matrix inequality

CLC Number: 

  • TP273
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