Decay rate performance approach for stabilization continuous fuzzy models using their discretized forms

作     者：Ameni Ellouze François Delmotte Jimmy Lauber Mohamed Chtourou Mohamed Ksantini 

作者机构：Department of Electrical EngineeringNational School of Engineers of SfaxUniversity of SfaxSfaxTunisia University of LilleLilleFrance and University of Artois Technoparc FuturaBethuneFrance University of Valenciennes and Hainaut-CambrésisValenciennesFrance 

出 版 物：《International Journal of Intelligent Computing and Cybernetics》 (智能计算与控制论国际期刊（英文）)

年 卷 期：2015年第8卷第4期

页      面：383-400页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Non-linear control Stabilization Continuous Takagi Sugeno(TS)fuzzy models Decay rate performance approach Euler discretization Non-PDC control 

摘      要：Purpose–The purpose of this paper is to deal with the stabilization of the continuous Takagi Sugeno(TS)fuzzy models using their discretized forms based on the decay rate performance ***/methodology/approach–This approach is structured as follows:first,a discrete model is obtained from the discretization of the continuous TS fuzzy *** discretized model is obtained from the Euler approximation method which is used for several ***,based on the decay rate stabilization conditions,the gains of a non-PDC control law ensuring the stabilization of the discrete model are *** by keeping the values of the gains,the authors determine the values of the performance criterion and the authors check by simulation the stability of the continuous TS fuzzy models through the zero order ***–The proposed idea lead to compare the performance continuous stability results with the *** comparison is,also,taken between the quadratic and non-quadratic ***/value–Therefore,the originality of this paper consists in the improvement of the continuous fuzzy models by using their discretized *** this case,the effect of the discretization step on the performances of the continuous TS fuzzy models is *** usefulness of this approach is shown through two examples.