摘要
考虑具有状态时滞和输入时滞的时变不确定广义系统的鲁棒无源控制问题,其中的不确定性是范数有界的,但不需要满足匹配条件.基于LMI方法和广义Lyapunov函数,获得了不确定时变时滞广义系统的无源性条件,进而,利用线性矩阵不等式的解设计了一个无记忆反馈控制器,使得闭环广义系统是严格无源的.最后,利用Matlab的线性矩阵不等式工具箱给出了仿真算例,说明了所提出方法的可行性和有效性.
The robust passive control problem for a class of time-varying uncertain singular systems with state-delay and input-delay was studied.The uncertainty is norm-bounded,but does not need to meet the matching condition.Based on LMI methods and the generalized Lyapunov function,the passive condition of time-varying delay uncertain singular systems was obtained.Furthermore,the design of a memoryless feedback controller was solved in terms of the solution of LMIs,making the closed-loop system strictly passive.Finally,a numerical example was simulated by utilizing Matlab LMI toolbox,and the result demonstrates the validity and effectiveness of the proposed method.
出处
《东北大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2011年第7期922-926,共5页
Journal of Northeastern University(Natural Science)
基金
辽宁省自然科学基金资助项目(20102058)
关键词
无源控制
广义系统
时变时滞
鲁棒
线性矩阵不等式
passive control
singular system
time-varying delay
robust
linear matrix inequality
作者简介
杨冬梅（1966-），女，辽宁沈阳人，东北大学教授，博士．
