| 引用本文: | 张湘平,贺汉根.基于信息熵的模糊控制系统稳定性分析.[J].国防科技大学学报,2000,22(1):52-55.[点击复制] |
| ZHANG Xiangping,HE Hangen.Stability Analysis of Fuzzy Control Systems Based on Information Entropy[J].Journal of National University of Defense Technology,2000,22(1):52-55[点击复制] |
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| 基于信息熵的模糊控制系统稳定性分析 |
| 张湘平, 贺汉根 |
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(国防科技大学 机电工程与自动化学院, 湖南 长沙 410073)
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| 摘要: |
| 鉴于模糊控制系统稳定性分析方法的复杂性和不完善性，用信息论的观点思考这一问题。依据李雅普诺夫稳定性分析原理，通过引入信息熵的概念，对模糊控制系统的稳定性分析方法进行深入研究和探讨。在综合考虑系统动态品质和稳定边界要求的基础上，给出了一般模糊控制系统的稳定性定义，并通过严格的数学推导证明了使模糊控制系统稳定的一个充分条件。 |
| 关键词: 模糊控制 稳定性 信息熵 |
| DOI： |
| 投稿日期：1999-09-27 |
| 基金项目:国家自然科学基金资助项目（510.8050） |
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| Stability Analysis of Fuzzy Control Systems Based on Information Entropy |
| ZHANG Xiangping, HE Hangen |
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(College of Mechatronics Engineering and Automation, National Univ. of Defense Technology, Changsha 410073, China)
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| Abstract: |
| Considering the complexity and non-perfection of the stability analysis in fuzzy control systems，we used the view of information theory to study this problem. Based on Lyapunov stability analysis law，the problem is deeply researched and discussed by introducing the concept of information entropy. Through considering comprehensively the dynamic characteristic and stability boundary of fuzzy control systems， the stability definition of fuzzy control systems is given，and a new stability sufficient condition of fuzzy systems is proved by strict mathematical deducing. |
| Keywords: fuzzy control stability information entropy |
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