Delay-dependent stability analysis and synthesis of uncertain T–S fuzzy systems with time-varying delay

doi:10.1016/j.fss.2005.06.022

Fuzzy Sets and Systems

Volume 157, Issue 4, 16 February 2006, Pages 544-559

https://doi.org/10.1016/j.fss.2005.06.022 Get rights and content

Abstract

This paper considers the delay-dependent stability analysis and controller design for uncertain T–S fuzzy system with time-varying delay. A new method is provided by introducing some free-weighting matrices and employing the lower bound of time-varying delay. Based on the Lyapunov–Krasovskii functional method, sufficient condition for the asymptotical stability of the system is obtained. By constructing the Lyapunov–Krasovskii functional appropriately, we can avoid the supplementary requirement that the time-derivative of time-varying delay must be smaller than one. The fuzzy state feedback gain is derived through the numerical solution of a set of linear matrix inequalities (LMIs). The upper bound of time-delay can be obtained by using convex optimization such that the system can be stabilized for all time-delays. The efficiency of our method is demonstrated by two numerical examples.

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Delay-dependent stability analysis and synthesis of uncertain T–S fuzzy systems with time-varying delay

Abstract

Fuzzy Sets and Systems

Fuzzy Sets and Systems

Systems Control Lett.

Automatica

Automatica

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IEEE Trans. Fuzzy Systems

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Stability of Time-Delay Systems

Delay-dependent guaranteed cost control for T–S fuzzy systems with time delays

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IEE Proc.-Control Theory Appl.

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