Paper:
Language: English:

Switching Model Construction and Stability Analysis for Nonlinear Systems

Hiroshi Ohtake, and Kazuo Tanaka

Department of Mechanical Engineering and Intelligent Systems,
The University of Electro-Communications
1-5-1 Chofugaoka, Chofu, Tokyo 182-8585, Japan

Received: April 24, 2003

Accepted: May 31, 2005

Keywords: switching fuzzy model, switching Lyapunov function, fuzzy model-based control, sector nonlinearity

Journal ref: Journal of Advanced Computational Intelligence and Intelligent Informatics, Vol.10, No.1 pp. 3-10, 2006

Abstract

This paper presents switching model construction and stability analysis for a class of nonlinear systems. A switching fuzzy model newly developed in this paper is employed to represent the dynamics of a nonlinear system. A key feature of the switching fuzzy model construction is to find the so-called minimum distance sector by solving a nonlinear optimization problem. Next, we discuss the stability of a switching fuzzy model. To take advantage of the switching fuzzy model, we introduce a piecewise Lyapunov function that mirrors its structure. We show that the piecewise Lyapunov function approach provides less conservative results for the typical quadratic Lyapunov function approach. Illustrative examples demonstrate the utility of the switching model construction and the stability analysis.

[Notice]
* "Preview" is the first 2 pages of the article. You don't need the registration.
* To read the PDF file you will then need to download and install the Adobe Reader.
Adobe Reader is free and available for download here: