New stability method applied to the stabilization of fuzzy control systems

Document Type

Article

Publication Date

12-1-2009

Publication Title

Canadian Journal of Electrical and Computer Engineering

Volume

34

Issue

1

First Page

11

Keywords

Fuzzy control, Lyapunov functions, Nonlinear systems, Stabilization

Last Page

14

Abstract

This paper addresses stability analysis and stabilization for Takagi-Sugeno fuzzy systems via a new stability method previously developed and presented by the authors. The new stability method is here extended to fuzzy systems. In essence, the authors consider the stabilization of a fuzzy control system with parallel distributed compensation. This problem has been considered in detail previously by different authors using fuzzy Lyapunov function theory. However, in this paper the authors show that their new stability method presents a viable alternative to Lyapunov's method for such control systems. This statement is confirmed by a demonstration that the new stability method always provides necessary and sufficient conditions, the satisfaction of which guarantees that the system in question will be asymptotically stable. © 2005 IEEE.

DOI

10.1109/CJECE.2009.5291202

ISSN

08408688

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