动态离散区间系统的Robust稳定度  

Degree of robust-Stability of dynamic discrete interval systems

作　　者：韩金舫[1] 李永伟[1] 

机构地区：[1]河北科技大学,石家庄050054

出　　处：《河北省科学院学报》2002年第4期204-207,共4页Journal of The Hebei Academy of Sciences

摘　　要：研究了动态离散区间系统的Robust稳定度问题。首先提出Schur稳定度、离散线性系统的渐近稳定度及离散区间系统的Robust稳定度的概念 ;而后运用矩阵理论 ,仅依据状态区间矩阵的界阵 ,获得了离散区间系统具有Robust稳定度的简便实用的充要条件。这些结果作为相应地稳定性 (h =0时 )的判据 ,推广了现有文献 (M E Sezer ,IEEETrans .Automat .Contr .1994 ;彭晓林 ,科学通报 ,1991)的结论 ,扩展了使用范围。此外 ,还给出由 12 (A +AT)的Schur稳定来推断A为Schur稳定的条件。The problem for the degree of robust-stability of dynamic discrete interval systems is investigated by means of the method of matrix technique.This paper firstly presents the idea of the degree of schur and asymptotic and robust-stability for the constant matrix and discrete linear systems and dynamic discrete interval systems respectively,then some simple practical necessary and Sufficient conditions for the degree of robust-stability of discrete interval systems are obtained,which use only the boundary matrix for the interval matrix. These results as criteria for the corresponding stability(case of h=0) extend the related conditions described in the existing literature(M.E.Sezer,et al.IEEE Trans. Automat. Contr.1994; and Peng Xiao-Lin,Chinese Science Bulletin,1991).Furthermore,the proposition for the schur-stabilily of 12(A+AT) implies schur-stability of A is also given.

关 键 词：动态离散区间系统 区间矩阵 Schur稳定度 Robust稳定度 不确定性系统 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程] O231[自动化与计算机技术—控制科学与工程]