摘要
针对一类切换奇异时滞系统,对其容许性问题进行了研究。基于时滞区间分割的思想,构造一类新型的多Lyapunov泛函。利用推广的Lyapunov稳定性理论,通过引入适当的自由权矩阵,在设计的切换律下,得到了基于严格线性矩阵不等式表示的自治切换奇异时滞系统是容许的时滞依赖充分条件;通过设计相应的状态反馈子控制器,给出了保证闭环切换奇异时滞系统是容许的时滞依赖充分条件,同时给出了各子控制器的显式表达式。最后,数值算例表明该方法的可行性和有效性。
In view of the admissibility problem, a class of switched singular systems with time-delay is studied. A new multiple Lyapunov functional is constructed based on the idea of delay-decomposition-dependent. By using the Lyapunov stability theory and introducing some proper free-weighting matrices, a delay-dependent sufficient condition is obtained in terms of strict linear matrix inequalities to ensure that the unforced switched singular time-delay system is admissible under an appropriate switching law. In addition, a delay-dependent sufficient condition is given by designing corresponding state feedback sub-controllers, such that the closed-loop switched singular system with time-delay is admissible, and explicit expressions for the designed sub-controllers are given at the same time. Finally, some numerical examples illustrate the feasibility and effectiveness of the proposed method.
出处
《控制工程》
CSCD
北大核心
2015年第4期765-770,共6页
Control Engineering of China
基金
国家自然科学基金(61174032)
山东省高等学校科技计划项目(J14LN52)
潍坊学院博士科研基金项(2014BS11)
关键词
切换奇异时滞系统
容许性
稳定性与镇定
时滞依赖
Switched singular time-delay system
admissibility
stability and stabilization
delay-dependent
