引用本文:陈国洋,李柠,李少远.一类T-S模糊控制系统的稳定性分析及设计[J].控制理论与应用,2010,27(3):310~316.[点击复制]
CHEN Guo-yang,LI Ning,LI Shaoyuan.Stability analysis and design for a class of Takagi-Sugeno fuzzy control systems[J].Control Theory and Technology,2010,27(3):310~316.[点击复制]
一类T-S模糊控制系统的稳定性分析及设计
Stability analysis and design for a class of Takagi-Sugeno fuzzy control systems
摘要点击 1673  全文点击 1044  投稿时间：2008-11-18  修订日期：2009-05-18
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DOI编号  10.7641/j.issn.1000-8152.2010.3.CCTA081276
  2010,27(3):310-316
中文关键词  模糊控制  稳定性  Lyapunov函数  PDC
英文关键词  fuzzy control  stability  Lyapunov function  PDC
基金项目  国家自然科学基金资助项目(60825302, 60604018, 60774015); 国家“863”计划资助项目(2007AA041403).
作者单位E-mail
陈国洋 上海交通大学 自动化系  
李柠 上海交通大学 自动化系  
李少远* 上海交通大学 自动化系 syli@sjtu.edu.cn 
中文摘要
      研究了一类输入采用双交叠模糊分划的T-S模糊控制系统稳定性分析及控制器设计问题. 基于分段模糊Lyapunov函数, 提出了一个新的判定开环T-S模糊系统稳定性的充分条件, 该方法只需在各个模糊区间里满足模糊Lyapunov方法中的条件, 其保守性比公共Lyapunov函数法和分段Lyapunov函数法的保守性更低. 运用并行分布补偿法(PDC)进一步探讨了闭环T-S模糊控制系统的稳定性分析问题并设计了模糊控制器. 最后, 一个仿真示例说明了本文方法的有效性.
英文摘要
      The stability analysis and design techniques of Takagi-Sugeno(T-S) fuzzy control systems whose input variables employ two-overlapped fuzzy partition are discussed. Based on the piecewise fuzzy Lyapunov function, we propose a new sufficient condition to check the stability of T-S fuzzy control systems. This condition only needs to satisfy the condition of fuzzy Lyapunov function in each fuzzy region. Using the methods of parallel distributed compensation(PDC) and linear matrix inequality(LMI), we investigate the stability analysis and design of closed-loop T-S fuzzy control systems further. It is shown that the piecewise fuzzy Lyapunov approach is less conservative then those of the common Lyapunov function and the piecewise Lyapunov function. Simulation results verify the efficiency and feasibility of the proposed method.