Stable fuzzy controllers via LMI approach for non-linear systems described by type-2 T-S fuzzy model

作     者：Himanshukumar R.Patel Vipul A.Shah 

作者机构：Instrumentation and Control Engineering DepartmentFaculty of TechnologyDharmsinh Desai UniversityNadiadIndia 

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：2021年第14卷第3期

页      面：509-531页

核心收录：

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

基　　金：The project outcome is Ph.D work of corresponding author of this article.This research received no external funding.The authors would also like to thank Department of Instrumentation and Control Faculty of Technology Dharmsinh Desai University Nadiad 387001 Gujarat India 

主　　题：Takagi-Sugeno(T-S) Type-2 fuzzy logic system Linear matrix inequalities fuzzy control 

摘      要：Purpose-The purpose of this paper is to stabilize the type-2 Takagi-Sugeno(T-S)fuzzy systems with the sufficient and guaranteed stability *** given conditions efficaciously handle parameter uncertainties by the upper and lower membership functions of the type-2 fuzzy sets(FSs).Design/methodology/approach-This paper reports on a relevant study of stable fuzzy controllers and type-2 T-S fuzzy systems and reported that the synthesis of controller for nonlinear systems described by the type-2 T-S fuzzy model is a key problem and it can be resolve to convex problems via linear matrix inequalities(LMIs).Findings-The multigain fuzzy controllers are established to improve the solvability of the stability conditions,and the authors design multigain fuzzy controllers which have extensive information of upper and lower membership ***,the authors derive the traditional stability condition in terms of *** simulation examples illustrate the effectiveness and robustness of the derived stabilization ***/value-The uncertain MIMO nonlinear system described by Type-2 Takagi-Sugeno(T-S)fuzzy model,and successively LMI approach used to determine the system stability *** proposed control approach will give superior fault-tolerant control permanence under the actuator fault[partial loss of effectiveness(LOE)].Also the controller robust against the unmeasurable process ***,the statistical z-test are carried out to validate the proposed control approach against the control approach proposed by Himanshukumar and Vipul(2019a).