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

作　　者：刘博[1] 贾新春[1] 高一博[1] 

机构地区：[1]山西大学数学科学学院,山西太原030006

出　　处：《控制理论与应用》2007年第4期513-518,共6页Control Theory & Applications

基　　金：国家创新研究群体科学基金(60024301);山西省自然科学基金(20051032).

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.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.

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 

分 类 号：TP273.2[自动化与计算机技术—检测技术与自动化装置]