非线性不确定状态时滞系统的鲁棒H_∞滤波  

Robust H∞ Filter Design of a Class of Nonlinear Systems with State Delay and Parameter Uncertainty

作　　者：蔡云泽[1] 何星[1] 许晓鸣[1] 张卫东[1] 

机构地区：[1]上海交通大学自动化系,上海200030

出　　处：《自动化学报》2004年第4期592-596,共5页Acta Automatica Sinica

基　　金：国家"973"项目(2002cb312200)部分资助;国家自然科学基金(60174038)资助~~

摘　　要：研究含有状态时滞的非线性不确定性系统的鲁棒H∞滤波器设计问题,其中系统的参数不确定性是时变和模有界的,非线性的扰动受有界条件约束.针对连续系统和离散系统两种情况,分别选取合适的Lyapunov函数分析了使滤波系统渐近稳定,且从噪声输入到误差输出的传递函数的H∞范数小于指定上界的充分条件,然后通过两个代数Riccati方程的正定解参数化表示了该滤波器.滤波器的设计过程和结构均是与状态时滞的大小、非线性扰动以及不确定性参数无关的.The problem of robust H∞ filtering for nonlinear systems with state delay and parameter uncertainty is investigated. The parameter uncertainties are described in the real time-varying norm-bounded form with nonlinear disturbances meeting the boundedness condition. For continuous and discrete-time cases, appropriate Lyapunov functions are used to analyze the sufficient condition of the existence of the robust filter such that the filtering process remains robustly stable and a prescribed H∞ performance level is achieved. Then the filter is characterized in the terms of positive solutions of two algebraic Riccati-like equations, irrespective of the uncertainties, time delays or nonlinearities.

关 键 词：非线性系统 参数不确定性 时滞 RICCATI方程 

分 类 号：TN713[电子电信—电路与系统]