Journal of Guangxi Normal University(Natural Science Edition) ›› 2010, Vol. 28 ›› Issue (4): 49-53.

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Quadratic Stability of Discretes T-S Descriptor Fuzzy Systems

ZHANG Jing-hua1, LIANG Jia-rong2, DU Fu1   

  1. 1.College of Mathematics and Information Science,Guangxi University,Nanning Guangxi 530004,China;
    2.College of Computer and Electronic Information Science,Guangxi University,Nanning Guangxi 530004,China
  • Received:2010-06-24 Published:2023-02-07

Abstract: This paper focuses on the problems of quadratic stability for a class of discretes T-S descriptor fuzzy systems,for which a new quadratic stability definition is proposed.By finding a common positive definition of matrix in each maximal overlapped-rule group,sufficientcondition for the stability of the systemsis presented.The condition can be expressed in linear matrix inequalities.Compared with previous results,the sufficient condition can be easily obtainedby the numerical solution and can reduce the cumbersome nature of quadratic stability judgements.

Key words: quadratic stability, discretes T-S descriptor fuzzysystems, linear feedback control, Lyapunov function

CLC Number: 

  • TP273+.4
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