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JACIII Vol.10 No.1 pp. 3-10
doi: 10.20965/jaciii.2006.p0003
(2006)

Paper:

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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
Published:
January 20, 2006
Creative Commons License
Keywords:
switching fuzzy model, switching Lyapunov function, fuzzy model-based control, sector nonlinearity
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.
Cite this article as:
H. Ohtake and K. Tanaka, “Switching Model Construction and Stability Analysis for Nonlinear Systems,” J. Adv. Comput. Intell. Intell. Inform., Vol.10 No.1, pp. 3-10, 2006.
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