引用本文:刘博, 贾新春, 高一博.带有饱和执行器的T-S离散模糊系统的LQ模糊控制[J].控制理论与应用,2007,24(4):513~518.[点击复制]
LIU Bo, JIA Xin-chun, GAO Yi-bo.LQ fuzzy control of T-S discrete fuzzy systems with actuator saturation[J].Control Theory and Technology,2007,24(4):513~518.[点击复制]
带有饱和执行器的T-S离散模糊系统的LQ模糊控制
LQ fuzzy control of T-S discrete fuzzy systems with actuator saturation
摘要点击 1245  全文点击 2141  投稿时间：2006-01-10  修订日期：2006-07-17
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DOI编号  
  2007,24(4):513-518
中文关键词  T-S模糊系统  模糊控制  LQ 性能  饱和执行器  吸引域  线性矩阵不等式
英文关键词  T-S fuzzy system  fuzzy control  linear quadratic(LQ) performance  actuator saturation  domain of attraction  LMI
基金项目  国家创新研究群体科学基金资助项目(60024301); 山西省自然科学基金资助项目(20051032).
作者单位
刘博, 贾新春, 高一博 山西大学数学科学学院, 山西太原030006 
中文摘要
      研究了带有饱和执行器的Takagi-SugenoT-S 离散模糊系统的LQ模糊控制问题, 利用Lyapunov稳定理论、PDC(平行分配补偿) 技术以及线性矩阵不等式方法, 得到了闭环模糊系统的渐近稳定的充分条件, 给出了闭环系统的LQ模糊控制律的设计方法和吸引域的一个估计, 并建立了闭环系统的LQ性能函数上界的计算公式. 进一步,针对两类优化问题, 即: LQ性能最小化问题和吸引域最大化问题, 给出了相应的带有线性矩阵不等式约束的计算方法. 最后, 一个仿真例子说明了所给方法的有效性.
英文摘要
      The linear quadratic(LQ) fuzzy control problem for Takagi-Sugeno(T-S) discrete fuzzy systems with actuator saturation is studied in this paper. Firstly, by Lyapunov stability theory, parallel distributed compensation(PDC) technique, and linear matrix inequality(LMI) approach, a sufficient condition of asymptotic stability of the closed-loop fuzzy systems is obtained. Secondly, the design method of LQ fuzzy controllers and an estimate of domain of attraction for such systems are presented, and a computing formula of an upper-bound of the LQ performance cost function is also established. Furthermore, for two kinds of optimization problems, i.e., minimization of LQ performance and maximization of domain of attraction, two computing methods with LMI constraints are presented. Finally, a numerical example is given to illustrate the effectiveness of the proposed method.