摘要
针对一类具有多输入时滞项及互联时滞项的不确定关联系统,提出了系统可鲁棒分散镇定的充分条件,即一组线性矩阵不等式(LMI)有解.系统的不确定性是未知时变且范数有界的,基于还原方法及LMI技术给出系统设计状态反馈分散控制器的方法.该控制器保证闭环系统全局渐近稳定,且设计简单,计算量小,易于工程实现.最后通过仿真例子说明了该方法的有效性.
The problem of the robust stabilization for a class of uncertain interconnected systems with time delays in the input and interconnection is investigated. The uncertainties are time-varying and norm bounded. Based on the reduction method, a decentralized feedback controller is proposed such that the closed loop system is global asymptotically stable, and a sufficient condition for the stability is derived in terms of a linear matrix inequality (LMI). The design approach is simple. Simulation example shows the effectiveness of the proposed method.
出处
《控制与决策》
EI
CSCD
北大核心
2004年第11期1218-1222,共5页
Control and Decision
基金
国家自然科学基金资助项目(60274009).
关键词
不确定关联时滞系统
鲁棒分散镇定
还原方法
线性矩阵不等式
Asymptotic stability
Closed loop control systems
Computer simulation
Delay control systems
Feedback control
Matrix algebra
Optimal control systems
Uncertain systems
