摘要
对一类具有数值界不确定性关联时滞大系统,应用线性矩阵不等式(LMI)方法研究使其分散稳定化的鲁棒控制器设计问题.给出了其存在分散鲁棒稳定化控制器的充分条件,在此基础上,通过求解一凸优化问题,指出了具有较小反馈增益的分散稳定化状态反馈控制律的设计方法.仿真示例说明了该方法的应用.
This paper studied the design of decentralized robust stabilization controller for large-scale uncertain time delay systems by means of linear matrix inequality (LMI) approach. The uncertainties are value bounded and may not satisfy the so-called matching conditions. A sufficient condition for the existence of decentralized stabilization control laws was derived. A convex optimization problem with LMI constraints was formulated to design a decentralized state feedback controller with smaller gain parameters, which enabled the closedloop system robust asymptotically stable. The given example demonstrated the application of the method.
出处
《湖南大学学报(自然科学版)》
EI
CAS
CSCD
北大核心
2006年第3期50-53,共4页
Journal of Hunan University:Natural Sciences
基金
国家自然科学基金资助项目(60474003)
关键词
分散控制
鲁棒控制
不确定性
线性矩阵不等式
时滞
decentralized control
robust control
uncertainty
linear matrix inequality
time delay