时变线性中立型系统的鲁棒H_∞性能  

Robust H_∞ Performance for Neutral Delay Systems with Time-Varying Uncertainties

作　　者：李宏飞[1] 周军[1] 

机构地区：[1]西北工业大学航天学院

出　　处：《应用数学》2007年第3期621-626,共6页Mathematica Applicata

基　　金：陕西省自然科学研究计划项目(2006A13);陕西省教育厅专项科技计划项目(06JK149)

摘　　要：考虑了时变线性中立型系统的H∞性能,利用线性矩阵不等式给出了系统扰动衰减具有H∞范数约束的鲁棒稳定性条件.系统在H∞范数有界约束下,给出了时变中立型系统Lyapunov稳定意义下的等价时滞系统,说明了伪二次稳定意义下的不确定性中立型系统等价于一个在Lyapunov稳定意义下的标准线性时滞系统.The present paper concerns with robust H∞performance for neutral delay systems with involving an unknow time-delay and time-varying norm-bounded parameter uncertainties. Based on linear matrix inequality, the sufficient criteria are proposed which assure the quadratic stability of the systems as well as an H~ -norm bound. In the sense of Lyapunov stability with H∞ -norm bound restriction,a delay system without delayed-state derivative term is given,which is equivalent to a neutral system. And a linear standard delay system that is Lyapunov stable with H∞ -norm bound is presented, which is equivalent to an uncertain linear neutral system in the sense of pseudo-quadratically stability with H∞ -norm bound.

关 键 词：中立型系统 H∞控制 线性矩阵不等式 LYAPUNOV稳定性 伪二次稳定性 

分 类 号：O231.1[理学—运筹学与控制论] TP273[理学—数学]