| 离散模糊系统分析与设计的模糊Lyapunov方法 |
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| 引用本文： | 王岩,张庆灵,孙增圻,孙富春.离散模糊系统分析与设计的模糊Lyapunov方法[J].自动化学报,2004,30(2):255-260. |
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| 作者姓名： | 王岩 张庆灵 孙增圻 孙富春 |
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| 作者单位： | 1.清华大学计算机科学与技术系智能技术与系统国家重点实验室,北京; |
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| 基金项目： | 国家重点基础研究专项基金(G2002cb312205)，国家自然科学基金重大研究计划专项基金(90205008)，国家自然科学基金(60174018,60084002)，全国优秀博士学位论文专项基金(200041)，教育部骨干教师基金联合资助 |
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| 摘 要： | 研究离散T-S模糊控制系统基于模糊Lyapunov函数的稳定性分析及控制器设计问
题.首先,构造出离散型模糊Lyapunov函数,模糊Lyapunov函数是系数与T-S模糊系统的模糊
规则权重相对应的复合型Lyapunov函数.然后,得到了开环系统新的稳定性充分条件,与公共
Lyapunov方法的结果相比,这一条件更为宽松.进而,基于一系列线性矩阵不等式设计出模糊
控制器.最后,仿真实例说明了该方法的算法和本文条件的优越性.
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| 关 键 词： | T-S模糊系统 模糊Lyapunov函数 渐近稳定 线性矩阵不等式 |
| 收稿时间： | 2003-1-15 |
| 修稿时间： | 2003年1月15日 |
Analysis and Design of Discrete Fuzzy System with Fuzzy Lyapunov Approach |
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| WANG Yan,ZHANG Qing-Ling,SUN Zeng-Qi,SUN Fu-Chun.Analysis and Design of Discrete Fuzzy System with Fuzzy Lyapunov Approach[J].Acta Automatica Sinica,2004,30(2):255-260. |
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| Authors: | WANG Yan ZHANG Qing-Ling SUN Zeng-Qi SUN Fu-Chun |
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| Affiliation: | 1.Department of Computer Science and Technology,National Key Laboratory of Intelligence Technology and Systems,Tsinghua University,Beijing;School of Science,Northeastern University,Shenyang |
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| Abstract: | The stability analysis and fuzzy controller design problem of discrete T-S fuzzy control system are discussed based on fuzzy Lyapunov function. First, a new Lyapunov function for discrete T-S fuzzy system is constructed. The fuzzy Lyapunov function shares the same membership functions with the T-S fuzzy model. Then, a new sufficient condition for the stability of the open-loop system is proposed. This condition is less conservative than the results obtained with the common Lyapunov approach. In addition, the fuzzy controller is designed based on a series of LMIs. At last, simulation example shows the design procedure and the advantage of the proposed method. |
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| Keywords: | T-S fuzzy system fuzzy Lyapunov function asymptotic stability linear matrix inequality |
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