时变时滞不确定系统的鲁棒控制  

Robust H_∞ control for uncertain systems with time-varying delay

作　　者：史桂刚[1] 廖福成[1] 

机构地区：[1]北京科技大学应用科学学院,北京100083

出　　处：《北京科技大学学报》2006年第9期875-880,共6页Journal of University of Science and Technology Beijing

基　　金：国家自然科学基金重大研究计划资助项目(No.90304007)

摘　　要：基于鲁棒二次稳定性理论,采用线性矩阵不等式方法,研究了具有时变状态时滞的不确定系统的鲁棒H∞控制问题,给出了对所有允许不确定性,被控对象满足H∞范数界γ约束下鲁棒二次稳定的一个充分条件.通过求解一个线性矩阵不等式,即可获得H∞状态反馈控制器.Based on the quadratic stability theory, the problem of robust H∞control for time-delay systems with time-varying uncertainties was dealt with by using the linear matrix inequality approach. A sufficient condition for the systems to be quadratically stable with an H∞-norm bound γ was presented for all admissible uncertainties. By solving a linear matrix inequality, the H∞ state feedback controller was obtained.

关 键 词：时滞系统 鲁棒H∞控制 鲁棒二次稳定 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] TP273[自动化与计算机技术—控制科学与工程]