6533b839fe1ef96bd12a5b18

RESEARCH PRODUCT

Observer-based finite-time fuzzy H∞ control for discrete-time systems with stochastic jumps and time-delays

Peng ShiSing Kiong NguangHamid Reza KarimiYingqi Zhang

subject

Signal processingObserver (quantum physics)Finite-time H∞ controlTakagi-Sugeno (T-S) modelMarkovian jump systemsFuzzy control systemFuzzy logicFinite-time H∞ control; Markovian jump systems; Observer-based control; Takagi-Sugeno (T-S) model; Electrical and Electronic Engineering; Control and Systems Engineering; Software; Signal Processing; 1707Nonlinear systemobserver-based controlTakagi–Sugeno (T–S) modelDiscrete time and continuous timeControl and Systems EngineeringControl theoryBounded functionSignal ProcessingComputer Vision and Pattern RecognitionState observerElectrical and Electronic Engineeringfinite-time H∞ controlfinite-time H infinity controlObserver-based controlSoftware1707Mathematics

description

This paper is concerned with the problem of observer-based finite-time H ∞ control for a family of discrete-time Markovian 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 presented for the solvability of the problem, which can be tackled by a feasibility problem in terms of linear matrix inequalities. Numerical examples are given to illustrate the validity of the proposed design approaches. HighlightsInvestigation of the problem of observer-based finite-time H ∞ control for discrete-time Markovian jump T-S fuzzy systems with time delays.Development of sufficient criteria on stochastic finite-time H ∞ stabilization via observer-based fuzzy state feedback.Presentation of LMI-based conditions to deal with the feasibility issues.Numerical examples are provided to illustrate the validity of the proposed methods.

yearjournalcountryeditionlanguage
2014-04-01
10.1016/j.sigpro.2013.11.006https://hdl.handle.net/11541.2/120735