Fuzzy Logic Control System Stability Analysis Based on Lyapunov’s Direct Method

A stability analysis method for nonlinear processes controlled by Takagi- Sugeno (T-S) fuzzy logic controllers (FLCs) is proposed. The stability analysis of these fuzzy logic control systems is done in terms of Lyapunov’s direct method. The stability theorem presented here ensures sufficient conditi...

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Bibliographic Details
Published in:International journal of computers, communications & control communications & control, 2009-12, Vol.4 (4), p.415
Main Authors: Radu-Emil Precup, Marius-Lucian Tomescu, Preitl, Ștefan
Format: Article
Language:English
Subjects:
Algorithms
Control stability
Control systems
Fuzzy control
Fuzzy logic
Fuzzy systems
Nonlinear control
Stability analysis
Systems stability
Theorems
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Summary:A stability analysis method for nonlinear processes controlled by Takagi- Sugeno (T-S) fuzzy logic controllers (FLCs) is proposed. The stability analysis of these fuzzy logic control systems is done in terms of Lyapunov’s direct method. The stability theorem presented here ensures sufficient conditions for the stability of the fuzzy logic control systems. The theorem enables the formulation of a new stability analysis algorithm that offers sufficient stability conditions for nonlinear processes controlled by a class of T-S FLCs. In addition, the paper includes an illustrative example that describes one application of this algorithm in the design of a stable fuzzy logic control system.
ISSN:1841-9836
1841-9844
DOI:10.15837/ijccc.2009.4.2457