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(m,N)-delay-partitioning Approach to stability Analysis for T-S Fuzzy systems with Interval Time-varying Delay

Jun Yang*,Wen-Pin Luo, Yong-HuWang and Jun Cheng
International Journal of Control, Automation, and Systems, vol. 14, no. 2, pp.367-377, 2016

Abstract : "This paper is concerned with improved stability criteria for uncertain T-S fuzzy systems with interval time-varying delay by means of a new (m;N)-delay-partitioning approach. Based on an appropriate augmented LKF established in the framework of state vector augmentation, some tighter bounding inequalities (Seuret-Wirtinger’s integral inequality, Peng-Park’s integral inequality and the reciprocally convex approach) have been employed to deal with (time-varying) delay-dependent integral items of the derivative of LKF, therefore, less conservative delaydependent stability criteria can be obtained on account of none of any useful time-varying items are arbitrarily ignored. It’s worth mentioning that, when the delay-partitioning number m is fixed, less conservatism can be achieved by increase of another delay-partitioning number N, but without increasing any computing burden. Finally, one numerical example is provided to show that the proposed conditions are less conservative than existing ones."

Keyword : "Delay-partitioning approach, interval time-varying delay, linear matrix inequalities (LMIs), Lyapunov- Krasovskii functional (LKF), stability, T-S fuzzy systems."

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