线性广义系统的鲁棒严格耗散控制  

Robust strictly dissipative control for linear singular systems

作　　者：董心壮[1] 张庆灵[1] 

机构地区：[1]东北大学理学院,辽宁沈阳110004

出　　处：《控制与决策》2005年第2期195-198,共4页Control and Decision

摘　　要：利用线性矩阵不等式(LMI)方法,给出线性广义系统容许且严格耗散的充分必要条件,由此得到状态反馈和动态输出反馈严格耗散控制器的存在条件及设计方法.考虑除E外所有系数矩阵均具有范数有界时变不确定性的广义系统的鲁棒严格耗散控制问题,给出了系统广义二次稳定且严格耗散的充分条件,以及状态反馈和动态输出反馈鲁棒严格耗散控制器的存在条件及构造方法.By using linear matrix inequalities (LMIs), a sufficient and necessary condition that guarantees the admissibility and strict dissipativeness of linear singular systems is presented. And sufficient conditions are derived for the existence of state feedback and dynamic output feedback strictly dissipative controllers. Furthermore, a sufficient condition is obtained such that an uncertain singular system is both generalized quadratically stable and strictly dissipative. The state feedback and dynamic output feedback controllers are designed.

关 键 词：线性广义系统 严格耗散控制 范数有界不确定性 广义二次稳定 线性矩阵不等式 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]