带有饱和执行器的T-S离散模糊系统的LQ模糊控制

刘博; 贾新春; 高一博

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 1541 全文点击 2256 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.