Generalized non-monotonic Lyapunov functions for analysis and synthesis of Takagi-Sugeno fuzzy systems-Reference-Cited by-同舟云学术

Generalized non-monotonic Lyapunov functions for analysis and synthesis of Takagi-Sugeno fuzzy systems

Published:2020-10-07 Issue:3 Volume:39 Page:4147-4158
ISSN:1064-1246
Container-title:Journal of Intelligent & Fuzzy Systems
language:
Short-container-title:IFS

Author:

Coutinho Pedro H.S.¹,Peixoto Márcia L.C.¹,Lacerda Márcio J.²,Bernal Miguel³,Palhares Reinaldo M.⁴

Affiliation:

1. Federal University of Minas Gerais, Graduate Program in Electrical Engineering, Brazil

2. Department of Electrical Engineering, Federal University of São João del-Rei, Brazil

3. Departament of Electrical and Electronics Engineering, Sonora Institute of Technology, Ciudad Obregón 85000, Mexico

4. Department of Electronics Engineering, Federal University of Minas Gerais, Brazil

Abstract

This paper presents new stability and stabilisation conditions in the form of linear matrix inequalities for discrete-time Takagi-Sugeno fuzzy systems; they are derived considering a class of non-quadratic Lyapunov functions with multi-parametric non-monotonic terms, which significantly enhances the feasibility set of current state-of-the-art results. In addition, extensions to cope with the disturbance attenuation control problem are included. Benchmark numerical examples are provided to illustrate the effectiveness of the proposed approach.

Publisher

IOS Press

Subject

Artificial Intelligence,General Engineering,Statistics and Probability

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