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Stability analysis of the simplest Takagi-Sugeno fuzzy control system using circle criterion

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5 Author(s)
Honqqum, Lu ; Dept. of Control Theory and Engineering, Harbin Inst. of Technology, Harbin 150001, P. R. China ; Xianlin, Huang ; Gao, X Z ; Xiaojun, Ban
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A frequency-domain-based sufficient condition is derived to guarantee the globally asymptotic stability of the simplest Takagi-Sugeno (T-S) fuzzy control system by using the circle criterion. The analysis is performed in the frequency domain, and hence the condition is of great significance when the frequency-response method, which is widely used in the linear control theory and practice, is employed to synthesize the simplest T-S fuzzy controller. Besides, this sufficient condition is featured by a graphical interpretation, which makes the condition straightforward to be used. Comparisons are drawn between the performance of the simplest T-S fuzzy controller and that of the linear compensator. Two numerical examples are presented to demonstrate how this sufficient condition can be applied to both stable and unstable plants.

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Systems Engineering and Electronics, Journal of  (Volume:18 ,  Issue: 2 )