摘要
研究了时滞广义双线性系统的无源性分析与控制问题。利用广义李雅普诺夫函数和线性矩阵不等式,给出了时滞广义双线性系统的零解渐近稳定和无源的充分条件。特别针对广义双线性系统,采取了范数有界和集合限定的方法,设计了状态反馈控制器,使得闭环系统是零解渐近稳定且具有无源性,同时给出了相应的控制器的构造。最后,给出了1个实例与仿真说明所得到结论的正确性。
The passive control problem for a class of singular bilinear systems with time-delay is investigated. By means of generalized Lyapunov function and linear matrix inequality, a sufficient condition for passivity and asymptotical stability of zero solution is derived for a prescribed singular bilinear system with time-delay. Making use of norm bounded and limited collection, a state feedback control law is designed such that the closed-loop system is passive and its zero solution is asymptotically stable. Finally, an example is given to illustrate the validity of the obtained results.
作者
张秀华
谷丽君
ZHANG Xiu-hua;GU Li-jun(School of Sciences, Northeastern University, Shenyang Liaoning 110004, China)
出处
《控制工程》
CSCD
北大核心
2018年第6期949-953,共5页
Control Engineering of China
基金
国家自然科学基金(60974004)
辽宁省自然科学基金(2013020001)
关键词
时滞
双线性
广义
无源
状态反馈
Time-delay
bilinear
singular
passive
state feedback
