非线性时滞系统的鲁棒H_∞滤波  

Robust H_∞ Filtering for State - delayed Nonlinear Systems

作　　者：刘龙[1] 李明[2] 于海姝[1] 

机构地区：[1]黑龙江科技大学理学院,黑龙江哈尔滨150022 [2]哈尔滨工程大学理学院,黑龙江哈尔滨150001

出　　处：《佳木斯大学学报（自然科学版）》2013年第4期626-629,共4页Journal of Jiamusi University：Natural Science Edition

基　　金：黑龙江省教育厅科学技术研究项目(12521468)

摘　　要：研究了一类非线性时滞系统的鲁棒H∞滤波问题,所研究系统的每个矩阵中都含有范数有界的参数不确定性.引入单侧Lipschitz条件来估计非线性部分对滤波器的影响.基于单侧Lipschitz条件与线性矩阵不等式,得到了此类系统滤波器存在的充分条件,并且证明了所得结论的保守型低于以往结论.The problem of robust H∞ filtering for a class of state-delayed nonlinear systems with norm bounded parameter uncertainties appearing in all matrices of the linear part of the system model was considered in this paper.The one-sided Lipschitz condition was introduced to estimate the influence of nonlinear vector functions on the filter.Based on the one-sided Lipschitz condition and linear matrix inequalities（LMIs）,sufficient conditions for the existence of filters of the class of the state-delayed nonlinear systems were presented,which are less conservative than the results based on Lipschitz condition in literatures.

关 键 词：非线性滤波器 单侧Lipschitz条件 LIPSCHITZ条件 线性矩阵不等式 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]