| Stability analysis of the simplest Takagi-Sugeno fuzzy control system using circle criterion |
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| 作者单位： | Lu Hongqian（Dept of Control Theory and Engineering, Harbin Inst. of Technology, Harbin 150001, . R. China） ;
Huang Xianlin（Dept of Control Theory and Engineering, Harbin Inst. of Technology, Harbin 150001, . R. China） ;
Gao X. Z（Inst. of Intelligent Power Electronics, Helsinki Univ. of Technology Espoo, Finland） ;
Ban Xiaojun（Dept of Control Theory and Engineering, Harbin Inst. of Technology, Harbin 150001, . R. China） ;
Yin Hang（Dept of Control Theory and Engineering, Harbin Inst. of Technology, Harbin 150001, . R. China） ; |
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| 摘 要： | 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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| 收稿时间： | 15 February 2006 |
Stability analysis of the simplest Takagi-Sugeno fuzzy control system using circle criterion |
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| Authors: | Lu Hongqian Huang Xianlin Gao X Z Ban Xiaojun Yin Hang |
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| Institution: | 1. Dept of Control Theory and Engineering, Harbin Inst. of Technology, Harbin 150001, . R. China
2. Inst. of Intelligent Power Electronics, Helsinki Univ. of Technology Espoo, Finland |
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| Abstract: | 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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| Keywords: | T-S fuzzy controller Stability analysis Circle criterion Frequency response method |
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