广义不确定时滞线性系统的鲁棒稳定性  

The robust stability for uncertain linear generalized systems with time-varying delays

作　　者：杨战民[1] 吴明鑫[1] 谭宏武[1] 

机构地区：[1]陕西科技大学理学院,陕西咸阳712081

出　　处：《宝鸡文理学院学报（自然科学版）》2004年第3期171-173,共3页Journal of Baoji University of Arts and Sciences(Natural Science Edition)

基　　金：国家自然基金项目(60274055)

摘　　要：文中着重讨论了一类参数不确定的广义不确定时滞线性系统的鲁棒稳定性问题,给出了对容许不确定性,系统可二次镇定和满足从干扰输入到控制输出的H∞范数界约束的无记忆状态反馈鲁棒H∞控制分析结果,得到了H∞范数界约束下广义不确定时滞线性系统控鲁棒稳定的充分条件。The problem of robust stability for uncertain linear generalized systems with time-varying delays and parameter uncertainty has been discussed. The analysis result of robust H_∞ control is obtained for the system to be quadratic stabilizability and satisfy the given H_∞ norm-bounded via linear immemorial state feedback from interference input to control output. The sufficient conditions for the existence of robust stability for uncertain linear generalized systems are given in terms of linear matrix inequalities.

关 键 词：广义不确定时滞线性系统 鲁棒H∞控制 鲁棒稳定性 

分 类 号：O211.5[理学—概率论与数理统计] TP13[理学—数学]