Stability analysis of Takagi-Sugeno systems using a switched fuzzy Lyapunov function

Author(s)

Elias, Leandro J. ^[1] ; Faria, Flavio A. ^[2] ; Araujo, Rayza ^[3] ; Oliveira, Vilma A. ^[3]

Affiliation

^[1] Inst Fed Educ Ciencia & Tecnol Sao Paulo, Dept Matemat & Educ, Araraquara, SP - Brazil

^[2] Sao Paulo State Univ UNESP, Inst Quim, Dept Engn Fis & Matemat, Araraquara, SP - Brazil

^[3] Univ Sao Paulo, Dept Engn Eletr & Comp, Sao Carlos - Brazil

• Document type: Journal article
• Source: INFORMATION SCIENCES; v. 543, p. 43-57, JAN 8 2021.
• Web of Science Citations: 2

Abstract

In this paper, a switched fuzzy Lyapunov function approach is proposed to analyze the stability of continuous-time Takagi-Sugeno fuzzy systems. The results are established by exploring properties of the membership functions. The key point is that the time derivatives of the membership functions are represented as a finite polytope and less conservative linear matrix inequalities are obtained. Numerical examples illustrate the efficiency of the new stabilizing conditions. (C) 2020 Elsevier Inc. All rights reserved. (AU)

• FAPESP's process: 14/50851-0 - INCT 2014: National Institute of Science and Technology for Cooperative Autonomous Systems Applied in Security and Environment
• Grantee: Marco Henrique Terra
• Support Opportunities: Research Projects - Thematic Grants