摘 要：
针对一类同时具有状态时滞和输入时滞的时变不确定广义系统,研究了二次镇定状态反馈控制器的设计,假定其中的不确定性项是范数有界的,但不需要满足匹配条件;通过构造广义Lyapunov函数和线性矩阵不等式方法,给出了使系统二次稳定的状态反馈控制器存在的充分条件,该条件以线性矩阵不等式的形式给出,因而具有数值易解性;最后,用数例说明了该方法的有效性。
译 名：
Quadratic Stability Control for Uncertain Singular Systems with Multiple Delays
作 者：
YANG Bo1,GAO Rui-ping2,MA Yue-chao1,ZHAO Jing-min1,ZHAO Wei(1 College of science,Yanshan University,Qinhuangdao Hebei,066004;2 HNUST;China)
关键词：
singular system;time-delay;quadratic stability control
摘 要：
This paper studies the problem of quadratic stability control for a type of time-varying uncertain singular systems with both state and input delays.Suppose that the time-varying uncertain parameters are norm-bounded,but the matched conditions are not required to satisfy.A new sufficient condition of quadratic stability control law is given for the systems by constructing Lyapunov function and linear matrix inequalities approach.The sufficient condition is expressed with linear matrix inequalities which is easy to be solved.The last part of the paper explains the validity of this system.
