不确定变时滞模糊广义系统的最优保成本控制  

Optimal Guaranteed Cost Control of Uncertain Fuzzy Descriptor Systems with Time-Varying Delay

作　　者：田卫华[1] 张化光[1] 

机构地区：[1]东北大学信息科学与工程学院,辽宁沈阳110004

出　　处：《东北大学学报（自然科学版）》2008年第4期464-468,共5页Journal of Northeastern University(Natural Science)

基　　金：国家自然科学基金资助项目(60572070;60534010;60521003;60325311)

摘　　要：针对一类带有时变时滞的不确定T-S模糊广义系统,提出了基于时滞独立准则的最优鲁棒保成本控制方法.考虑一个线性二次成本函数作为闭环系统的性能指标,以线性矩阵不等式的形式给出了状态反馈保成本控制器存在的充分条件.最优保成本控制器的设计问题可以被简化为一个线性不等式约束的凸优化问题.所设计的保成本控制器不仅保证闭环系统的渐近稳定,而且具有最小的保成本上界.最后,数值算例说明了所提出方法的有效性以及最优保成本控制器的良好性能.An optimal robust guaranteed cost control method is proposed on the basis of delay- independent criterion for a class of uncertain Takagi-Sugeno （T-S） fuzzy descriptor systems with time-varying delay. A linear quadratic cost function is considered as the performance index of the closed-loop system. Then, the robust guaranteed cost control of the closed-loop fuzzy descriptor system is discussed. The sufficient conditions for the existence of robust guaranteed cost controller via state feedback are given in terms of linear matrix inequalities （LMIs）. And the design of optimal guaranteed cost controller can be reduced to a convex optimization problem constrained by LMIs. The designed controller is able to not only guarantee the robust asymptotic stability of the closed-loop uncertain fuzzy descriptor delay system, but aiso provide a minimized upper bound of the guaranteed cost. A numerical example is given to illustrate the effectiveness of the proposed method and the perfect performance of the optimal guaranteed cost controller.

关 键 词：T-S模糊广义系统 最优保成本控制 不确定性 时变时滞 线性矩阵不等式(LMIs) 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]