6533b82bfe1ef96bd128d81c

RESEARCH PRODUCT

Control Design for Discrete-Time Fuzzy Systems with Disturbance Inputs via Delta Operator Approach

Qi ZhouHongyi LiYabin GaoHamid Reza Karimi

subject

EngineeringArticle Subjectbusiness.industrylcsh:MathematicsGeneral MathematicsGeneral EngineeringControl engineeringFuzzy control systemFunction (mathematics)Delta operatorType (model theory)lcsh:QA1-939Fuzzy logicDomain (software engineering)Discrete time and continuous timelcsh:TA1-2040Control theoryVDP::Matematikk og Naturvitenskap: 400::Matematikk: 410::Anvendt matematikk: 413lcsh:Engineering (General). Civil engineering (General)business

description

Published version of an article in the journal: Mathematical Problems in Engineering. Also available from the publisher: http://dx.doi.org/10.1155/2013/724918 Open Access This paper is concerned with the problem of passive control design for discrete-time Takagi-Sugeno (T-S) fuzzy systems with time delay and disturbance input via delta operator approach. The discrete-time passive performance index is established in this paper for the control design problem. By constructing a new type ofLyapunov-Krasovskii function (LKF) in delta domain, and utilizing some fuzzy weighing matrices, a new passive performance condition is proposed for the system under consideration. Based on the condition, a state-feedback passive controller is designed to guarantee that the resulting closed-loop system is very-strictly passive. The existence conditions of the controller can be expressed by linear matrix inequalities (LMIs). Finally, a numerical example is provided to demonstrate the feasibility and effectiveness of the proposed method.

yearjournalcountryeditionlanguage
2013-01-01Mathematical Problems in Engineering
10.1155/2013/724918http://dx.doi.org/10.1155/2013/724918