Delay-dependent H∞ Control for T-S Fuzzy Systems Based on a Switching Fuzzy Model and Piecewise Lyapunov Function

2009 ◽  
Vol 35 (9) ◽  
pp. 1235-1239 ◽  
Author(s):  
Zhi-Le XIA ◽  
Jun-Min LI
Keyword(s):  
Lyapunov Function ◽  
Fuzzy Systems ◽  
Fuzzy Model ◽  
Piecewise Lyapunov Function ◽  
Delay Dependent

Switching Model Construction and Stability Analysis for Nonlinear Systems

2006 ◽  
Vol 10 (1) ◽  
pp. 3-10 ◽  
Author(s):  
Hiroshi Ohtake ◽  
◽  
Kazuo Tanaka
Keyword(s):  
Stability Analysis ◽  
Nonlinear Systems ◽  
Lyapunov Function ◽  
Fuzzy Model ◽  
Function Approach ◽  
Model Construction ◽  
Switching Model ◽  
Piecewise Lyapunov Function ◽  
System A ◽  
The Stability

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.

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