J4 ›› 2009, Vol. 44 ›› Issue (5): 56-61.

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Study on guaranteed cost control problems for a class of discrete impulsive switched  system with time delays and parameter uncertainty

QIN Jingwen 1 , GAO Rui 1* , LIU Xinzhi 1 ,2   

  1. 1. School of Control Science and Engineering, Shandong University, Jinan 250061, Shandong, China;
    2. Department of Applied Mathematics, University of Waterloo, Waterloo N2L 3G1, Ontario, Canada
  • Received:2008-10-13 Online:2009-05-16 Published:2009-11-18

Abstract:

Guaranteed cost control problems are investigated for a discrete impulsive switched system with normbounded parameter uncertainty and invariant time delays. A new quadratic cost index is introduced for the given system. Based on Lyapunov theory and the linear matrix inequality (LMI) techniques, a sufficient condition for the existence of guaranteed cost state feedback controller of discrete impulsive switched systems is derived in discrete domain. The sufficient condition is equivalent to the LMI solvability problem and the feasible solutions provide a parameterized representation of the performance bound. Finally, a numerical example illustrates  the validity of the proposed method.

Key words: discrete impulsive switched systems; time delays; guaranteed cost control; linear matrix inequality technology

CLC Number: 

  • TP13
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