离散时间Lipschitz非线性时变时滞系统H_∞估计:Krein空间方法  

H_∞ estimation for discrete-time Lipschitz nonlinear time-varying delay systems:Krein space approach

作　　者：赵辉宏[1] 张承慧[1] 

机构地区：[1]山东大学控制科学与工程学院,济南250061

出　　处：《控制与决策》2012年第11期1621-1626,1632,共7页Control and Decision

基　　金：国家自然科学基金项目(61034007;60774004);山东省自然科学基金项目(Z2007G01)

摘　　要：研究一类离散时间Lipschitz非线性时变时滞系统的H∞估计问题.通过状态扩展方法,将时变时滞系统转化为具有时变参数的无时滞系统.结合H∞性能指标和Lipschitz非线性条件,构造不定二次型并建立与Krein空间2估计的联系.运用新息分析方法和Krein空间投影公式,给出了H∞估计器存在的充分条件和基于Riccati方程的估计器递推算法.最后,通过仿真算例验证了所提出算法的有效性.The H∞ estimation problem is investigated for a class of discrete-time Lipschitz nonlinear time-varying delay systems.By using state augmentation approach,the time-varying delay system is converted into a delay free system with time-varying parameters.Combing H∞ performance with Lipschitz nonlinear conditions,an indefinite quadratic form is constructed and a relation is built with Krein space 2 estimation.By applying innovation analysis approach and Krein space projection formula,a sufficient condition for the existence of the H∞ estimator is proposed and the estimator is derived in terms of Riccati difference equations.Finally,the effectiveness of the proposed algorithm is illustrated through a numerical example.

关 键 词：Lipschitz非线性时变时滞系统 H∞估计 KREIN空间 新息分析 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]