6533b834fe1ef96bd129d5d7
RESEARCH PRODUCT
Finite-time stabilization for discrete fuzzy jump nonlinear systems with time delays
Sing Kiong NguangHamid Reza KarimiYingqi ZhangPeng Shisubject
Nonlinear systemsymbols.namesakeOptimization problemControl theoryBounded functionFull state feedbacksymbolsJumpMarkov processFuzzy control systemFuzzy logicMathematicsdescription
This paper is concerned with the problem of finite-time H∞ control for a class of discrete-time Markovian jump nonlinear systems with time delays represented by Takagi-Sugeno (T-S) model. First, by using fuzzy stochastic Lyapunov-Krasovskii functional approach, sufficient conditions are derived such that the resulting close-loop system is stochastic finite-time bounded and satisfies a prescribed H∞ disturbance attenuation level in a given finite-time interval. Second, sufficient criteria on stochastic finite-time H∞ stabilization via fuzzy state feedback are provided, and the fuzzy state feedback controller is designed by solving an optimization problem in terms of linear matrix inequalities. Finally, a numerical example is given to show the validity of the proposed designed techniques.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2013-06-01 |