6533b823fe1ef96bd127df3a

RESEARCH PRODUCT

Robust finite-time fuzzy H∞ control for uncertain time-delay systems with stochastic jumps

Sing Kiong NguangRamesh K. AgarwalPeng ShiPeng ShiYingqi ZhangHamid Reza Karimi

subject

Nonlinear systemOptimization problemComputer Networks and CommunicationsControl and Systems EngineeringControl theoryApplied MathematicsBounded functionSignal ProcessingLinear matrix inequalityH controlInterval (mathematics)Fuzzy logicMathematics

description

Abstract This paper investigates the problem of robust finite-time H ∞ control for a class of uncertain discrete-time Markovian jump nonlinear systems with time-delays represented by Takagi–Sugeno (T–S) model. Initially, the concepts of stochastic finite-time boundedness and stochastic finite-time H ∞ stabilization are presented. Then, by using stochastic Lyapunov–Krasovskii functional approach, sufficient conditions are derived such that the resulting close-loop system is stochastically finite-time bounded and satisfies a prescribed H ∞ disturbance attenuation level in a given finite-time interval. Furthermore, sufficient criteria on stochastic finite-time H ∞ stabilization using a fuzzy state-feedback controller are provided, and the controller is designed by solving an optimization problem in terms of linear matrix inequalities. Finally, two numerical examples are exploited to show the validity of the proposed design techniques.

yearjournalcountryeditionlanguage
2014-08-01Journal of the Franklin Institute
https://doi.org/10.1016/j.jfranklin.2014.04.004