| Stability Analysis of Continuous-Time Fuzzy Large-Scale System |
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| 作者姓名： | 曾怡达 张友刚 肖建 |
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| 作者单位： | Emei Branch，Southwest Jiaotong University，School of Electrical Engineering，Southwest Jiaotong University，School of Electrical Engineering，Southwest Jiaotong University Emei，Sichuan 614202，China，Chengdu 610031，China，Chengdu 610031，China |
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| 摘 要： | IntroductionSincefuzzylogicwasintroducedintotheanalysisanddesignofcontrolsystemsbyZadehin 1 96 51] ,ithasbecomeaverypopulartopicincontrolengineering2 4] ,mainlybecauseofthefollowingtwopoints :1 )ithastheadvantagethatnoformalmathematicalmodelsisneededan…
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| 关 键 词： | 稳定性分析 模糊大刻度系统 Takagi-Sugeno模糊模型 Lyapunov函数 模糊控制 |
Stability Analysis of Continuous-Time Fuzzy Large-Scale System |
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| Zeng Yida Zhang Yougang Xiao Jian.Stability Analysis of Continuous-Time Fuzzy Large-Scale System[J].Journal of Southwest Jiaotong University,2003,11(2):144-151. |
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| Authors: | Zeng Yida Zhang Yougang Xiao Jian |
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| Abstract: | A continuous-time fuzzy large-scale system F consists of some interconnected Takagi-Sugeno fuzzy subsystems. Two sufficient conditions for the asymptotic stability of this system (namely, theorem 1 and theorem 2) are derived via a multiple Lyapunov function approach. In theorem 1, the information of membership functions of fuzzy rules should be known in order to analyze the stability of F. But in general this information is not easy to be acquired for their time-varying property. So theorem 2 is provided to judge the asymptotic stability of F, based on which there is no need to know the information of membership functions in stability analysis. Finally, a numerical example is given to show the utility of the method proposed in this paper. |
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| Keywords: | fuzzy large-scale system stability analysis Takagi-Sugeno fuzzy model multiple Lyapunov funcion |
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