摘要
研究了一类具有范数有界参数不确定性和定常时滞状态的离散脉冲切换系统的保性能控制问题。引入一个新的二次型性能指标,利用Lyapunov稳定性理论与线性矩阵不等式(linear matrix inequality)方法,给出了离散脉冲切换系统保性能控制器存在的充分条件,继而给出了该充分条件等价于一个线性矩阵不等式的可行性问题的证明,并用这组LMI的可行解给出保性能控制律的一个参数化表示。最后通过实例证实所设计控制器的有效性。
Guaranteed cost control problems are investigated for a discrete impulsive switched system with norm-btnmded parameter uncertainty and invariant time delays. A new quadratic cost index is introduced for the given system. Based on Lyapunov theory and the linear matrix inequality （LMI） techniques, a sufficient coudition for the existence of guaranteed cost state feedback controller of discrete impulsive switched systems is derived in discrete domain. The sufficient condition is equivalent to the LMI solvability problem and the feasible solutions provide a parameterized representation of the performance bound. Finally, a numerical example illustrates the validity of the proposed method.
出处
《山东大学学报（理学版）》
CAS
CSCD
北大核心
2009年第5期56-61,共6页
Journal of Shandong University(Natural Science)
基金
山东省自然科学基金资助项目(Q2006A03)
山东省博士后创新项目专项基金资助项目(200703085)
关键词
离散脉冲切换系统
时滞
保性能控制
线性矩阵不等式方法
discrete impulsive switched systems
time delays
guaranteed cost control
hnear matrix inequality technology
