广义系统输出反馈严格正实控制器设计  

Design of the Strictly Positive Real Controller with Output Feedback for Descriptor Systems

作　　者：李秀英[1] 邢伟[2] 

机构地区：[1]通化师范学院数学系,吉林通化134002 [2]东北大学理学院,沈阳110004

出　　处：《计算技术与自动化》2003年第4期5-7,24,共4页Computing Technology and Automation

基　　金：辽宁省博士起动基金(001018);中国博士后科学基金资助.

摘　　要：研究连续广义系统的正实控制问题。目的是设计静态输出反馈和动态输出反馈严格正实控制器使得闭环系统容许且扩展严格正实。基于广义系统严格正实引理,利用线性矩阵不等式和广义代数Riccati不等式,给出了广义系统静态输出反馈和动态输出反馈严格正实控制器存在的充要条件及设计方法。对动态输出反馈情形,给出了一个数值算例说明控制器设计方法的有效性及可行性。The problem of positive real control for continuous-time descriptor systems is studied. The problem we address is to design static output feedback and dynamic output feedback SPR controllers such that the resulting closed-loop systems are admissible and ESPR. Based on the definition and the lemma of ESPR for descriptor systems, the necessary and sufficiency condition for the existence of static output feedback and dynamic output feedback SPR controllers are given. The design methods for such controllers are also presented using linear matrix inequalities. A numerical example is given to demonstrate the effectiveness of the dynamic output feedback control.

关 键 词：广义系统 输出反馈 正实控制器 设计 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]