基于LMI的不确定时滞切换广义系统的保成本控制

Journal of Systems Engineering and Electronics ›› 2010, Vol. 32 ›› Issue (1): 147-151.

基于LMI的不确定时滞切换广义系统的保成本控制

顾则全1，刘贺平1，廖福成2，王允建1

(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)

出版日期:2010-01-23 发布日期:2010-01-03

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

GU Ze-quan1, LIU He-ping1, LIAO Fu-cheng2, WANG Yun-jian1

(1. Information Engineering School, Univ. of Science & Technology Beijing, Beijing 100083, China;2. Applied Science School, Univ. of Science & Technology Beijing, Beijing 100083, China)

Online:2010-01-23 Published:2010-01-03

摘要/Abstract

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。

Abstract:

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 be 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.

顾则全1，刘贺平1，廖福成2，王允建1. 基于LMI的不确定时滞切换广义系统的保成本控制[J]. Journal of Systems Engineering and Electronics, 2010, 32(1): 147-151.

GU Ze-quan1, LIU He-ping1, LIAO Fu-cheng2, WANG Yun-jian1. Guaranteed cost control for uncertain time-delay switched singular systems based on LMI[J]. Journal of Systems Engineering and Electronics, 2010, 32(1): 147-151.