Guaranteed Cost Control of Multiple-Time-Delay T-S Fuzzy Descriptor Systems

Abstract:

In this paper, we focus on the problem of guaranteed cost control for a class of nonlinear systems described by the Takagi-Sugeno (T-S ) fuzzy descriptor model with multiple time delays. A quadratic cost function is used as a guaranteed performance index. The descriptor type of Lyapunov-Krasovskii functional is employed to analyze the asymptotic stability and design the guaranteed cost controller. The sufficient conditions for the existence of the guaranteed cost controller are given in terms of LMIs. At last, an illustrative example is provided to show the effectiveness of the proposed method.

• Periodical: Applied Mechanics and Materials (Volumes 241-244)
• Pages: 1154-1158
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.241-244.1154
• Online since: December 2012
• Authors: Yan Long Li, Zhong Lin Zhang, Wei Hua Tian, Yan Wang
• Keywords: Guaranteed Cost Control, Linear Matrix Inequality (LMI), Multiple Time Delays, T-S Fuzzy Descriptor System

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