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.
出处
《佳木斯大学学报（自然科学版）》
CAS
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)
