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.
出处
《系统工程与电子技术》
EI
CSCD
北大核心
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
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
switched singular system
uncertainty
time-delay
guaranteed cost control
quadratic stability linear matrix inequality
