一类参数不确定广义时滞系统的H_∞保性能鲁棒控制  

Robust Guaranteed Cost Control for Singular Systems with Time-Delay and Parameter Uncertainty

作　　者：李洁坤[1] 穆春来[2] 虞继敏[3] 

机构地区：[1]柳州师范高等专科学校数学与计算机科学系,广西柳州545004 [2]重庆大学数理学院,重庆400044 [3]重庆邮电大学数理学院,重庆400000

出　　处：《西南大学学报（自然科学版）》2009年第7期38-43,共6页Journal of Southwest University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(10571126);广西教育厅科研资助项目(200707MS063)

摘　　要：针对一类状态时滞的参数不确定性广义系统,讨论了它的保性能控制问题.目的是对状态时滞的参数不确定广义系统,提出它的时滞无关保性能鲁棒控制器的一个设计方法.首先给出了广义时滞系统正则、脉冲自由且稳定的严格线性矩阵不等式表示的时滞无关充分条件;然后采用线性矩阵不等式方法,给出参数不确定性广义时滞系统的时滞无关保性能控制问题可解的一个严格线性矩阵不等式表示的充分条件,在此条件可解时,给出了时滞无关保性能鲁棒控制器表达式,以及相应的可保性能指标.最后给出了所提出方法的应用.The guaranteed cost control problem is studied for singular systems with time-delay and parame ter uncertainty in order to design a delay-independent guaranteed cost controller for singular systems with time-delay and parameter uncertainty. First, a delay-independent sufficient condition is derived, which is expressed by strict linear matrix in-equality （LMI） for singular systems with time-delay to be regular, im- pulse free and stable. Then, the delay-independent sufficient condition for the existence of guaranteed cost controller is given in terms of strict linear matrix inequalities via LMI approach. When these LMI are feasi- ble, an explicit expression of delay-independent robust guaranteed cost controllers and the corresponding guaranteed cost of the systems are obtained. Finally, a numerical example is provided to demonstrate the application of the proposed method.

关 键 词：不确定广义系统 时滞系统 保性能控制 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]