Stability analysis and decentralized H control for time-delay fuzzy interconnected systems via fuzzy Lyapunov-Krasovskii functional

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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Detail(s)

Original languageEnglish
Pages (from-to)1731-1744
Journal / PublicationJournal of Intelligent and Fuzzy Systems
Volume26
Issue number4
Publication statusPublished - 2014

Abstract

This paper is concerned with the stability analysis and H fuzzy controller design of continuous-time fuzzy interconnected systems with time-varying delays. The fuzzy interconnected system consists of N interconnected time-delay Takagi-Sugeno(T-S) fuzzy subsystems and the delay-dependent stability analysis is based on the fuzzy weighting-dependent Lyapunov-Krasovskii functionals. It is shown that the delay-dependent stability of the time-delay fuzzy interconnected systems can be established if a fuzzy weighting-dependent Lyapunov-Krasovskii functional can be constructed, and moreover, the functional can be obtained by solving a set of linear matrix inequalities (LMIs) that are numerically feasible. The decentralized H controllers are also designed by solving a set of LMIs based on these fuzzy weighting-dependent Lyapunov-Krasovskii functionals. It is demonstrated via numerical examples that the stability and controller synthesis results based on fuzzy weighting-dependent Lyapunov-Krasovskii functionals are less conservative than those based on the common quadratic Lyapunov-Krasovskii functionals. © 2014 - IOS Press.

Research Area(s)

  • Fuzzy control, H control, Interconnected systems, Linear matrix inequalities (LMIs), Time-delay

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