基于LMI的广义时滞系统的鲁棒H_∞控制  

Robust H_∞ Control for Generalized Time-delay Systems Based on LMI

作　　者：廖勇[1] 陈高[1] 

机构地区：[1]厦门大学自动化系,福建厦门361005

出　　处：《自动化博览》2008年第4期72-74,共3页Automation Panorama1

基　　金：厦门大学985二期信息创新平台项目;福建省新世纪优秀人才支持计划项目;福建省自然科学基金(A0510002)

摘　　要：针对一类广义时滞系统,假定系统的状态是完全可测的,基于线性矩阵不等式(LMI),通过构造Lyapunov泛函,给出了一种鲁捧H∞状态反馈控制器的设计,仅通过求解栩应的线性矩阵不等式就可得到鲁棒H∞状态反馈控制器。并证明了该方法不仪使得相应的闭环系统渐近稳定,又能保证闭环系统从扰动到受控输出之间传递函数的H∞范数不大于给定的指标值。用数值算例验证了所给方法的有效性。Based on LMI and by proper Lyapunov functions, under the assumption that the system state test is available, H∞ state feedback controllers design can be obtained by solving the corresponding LMI in terms of a generalized time-delay system. This approach is proved that it can not only make the closed-loop systems asymptotically stable, but also limit the H∞ norm of the transfer function from disturbance to controlled output not greater than a given constant. At last, a numerical example is presented to illus...

关 键 词：广义时滞系统 状态反馈 线性矩阵不等式 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]