6533b85cfe1ef96bd12bc9a6

RESEARCH PRODUCT

Observer-based finite-time control for discrete fuzzy jump nonlinear systems with time delays

Hamid Reza KarimiSing Kiong NguangYingqi ZhangPeng Shi

subject

Nonlinear systemsymbols.namesakeObserver (quantum physics)Control theoryComputabilityBounded functionsymbolsJumpMarkov processFuzzy control systemFuzzy logicMathematics

description

This paper investigates the problem of observer-based finite-time H∞ control for a family of discrete jump nonlinear systems with time delays represented by Takagi-Sugeno (T-S) model. The main contribution of this paper is to design an observer-based finite-time H∞ controller such that the resulting closed-loop system is stochastic finite-time bounded and satisfies a prescribed H∞ disturbance attenuation level over the given finite-time interval. Sufficient criteria on stochastic finite-time H∞ stabilization via observer-based fuzzy state feedback are provided for the solvability of the problem, which can be tackled by a feasibility problem in terms of linear matrix inequalities. A simulation example is presented to illustrate the validity of our contributions.

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