Abstract
This paper deals with the stability of Takagi-Sugeno fuzzy models with time delay. Using fuzzy weighting- dependent Lyapunov-Krasovskii functionals, new sufficient stability criteria are established in terms of Linear Matrix Inequality; hence the stability bound of upper bound delay time can be easily estimated. Finally, numeric simulations are given to validate the developed approach.
Highlights
Fuzzy control systems have experienced a big growth of industrial applications in the recent decades, because of their reliability and effectiveness
This paper deals with the stability of Takagi-Sugeno fuzzy models with time delay
Takagi-Sugeno fuzzy model approach has been used to examine nonlinear systems with time-delay, and different methodologies have been proposed for analysis and synthesis of this type of systems [1,2]
Summary
Fuzzy control systems have experienced a big growth of industrial applications in the recent decades, because of their reliability and effectiveness. Takagi-Sugeno fuzzy model approach has been used to examine nonlinear systems with time-delay, and different methodologies have been proposed for analysis and synthesis of this type of systems [1,2]. A new stability conditions for time-delay Takagi-Sugeno fuzzy systems by using fuzzy weightingdependent Lyapunov-Krasovskii functionals are presented. We derive delay-dependent stability conditions using recent technique called free-weighting matrix method [4]. This criterion is expressed in terms of Linear Matrix Inequalities (LMIs) which can be efficiently solved by using various convex optimization algorithms [6,15].
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