基于LMI的不确定时滞切换广义系统的保成本控制  

Guaranteed cost control for uncertain time-delay switched singular systems based on LMI

作　　者：顾则全[1] 刘贺平[1] 廖福成[2] 王允建[1] 

机构地区：[1]北京科技大学信息工程学院,北京100083 [2]北京科技大学应用科学学院,北京100083

出　　处：《系统工程与电子技术》2010年第1期147-151,共5页Systems Engineering and Electronics

基　　金：国家自然科学基金(10671011);北京市教委重点学科共建项目(XK100080537)资助课题

摘　　要：研究了一类具有状态时滞不确定性的切换广义系统在任意切换策略下的二次稳定保成本控制问题。利用线性矩阵不等式(linear matrix inequality,LMI)技术,给出了状态反馈保成本控制器存在的充分条件,使得所研究的时滞不确定切换广义系统是可行的,并满足相应的性能指标。进一步将保成本控制器的设计问题转化为线性矩阵不等式的可行解问题。数值仿真算例说明了该方法的有效性。The guaranteed cost control problem of quadratic stabilization for a class of uncertain time-delay switched singular systems under arbitrary switching laws is studied. Based on linear matrix inequality technique, a sufficient condition on the existence of guaranteed cost state feedback controllers is derived, which assures that the uncertain time-delay switched singular system is admissible, and a corresponding cost index can be guaranteed. The design problem of the guaranteed cost controller can he turned into the solvabable problem of a set of linear matrix inequalities. A numerical simulation example is employed to illustrate the effectiveness of this approach.

关 键 词：切换广义系统 不确定性 时滞 保成本控制 二次稳定性 线性矩阵不等式 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]