一类不确定时滞中立型系统鲁棒H∞滤波器设计  

Robust H∞ filtering for a class of uncertain neutral system with time-delays

作　　者：黄英华[1] 付兴建[1] 

机构地区：[1]北京信息科技大学自动化学院,北京100192

出　　处：《北京信息科技大学学报（自然科学版）》2016年第4期36-44,共9页Journal of Beijing Information Science and Technology University

基　　金：国家自然科学基金项目(61273173);北京市自然科学基金项目(4132009);北京市属高等学校高层次人才引进与培养计划项目(CIT&TCD 201404126)

摘　　要：针对带有状态时滞的不确定中立型系统,讨论了其时滞相关鲁棒H∞滤波器的设计问题。基于Lyapunov稳定性理论,构造合适的Lyapunov函数,分别针对确定性系统和不确定性系统,用线性矩阵不等式(Linear Matrix Inequality,LMI)的方法设计一个满阶的H∞滤波器,得到了滤波器存在的充分条件。对于所允许的不确定性和时滞,使得滤波误差动态系统是渐近稳定的,并且满足给定的H∞性能要求。最后用数值算例说明了所设计的滤波器的可行性,仿真波形表明了滤波器具备有效的滤波效果。For a kind of uncertain neutral time-delay system with state delay,the problem of designing the delay dependent robust H∞filter is discussed. Based on the theory of the Lyapunov,appropriate Lyapunov function is constructed and the method of the linear matrix inequality is used to design a full order robust H∞filter for the systems of certainty and uncertainty. A sufficient condition for the existence of the filter is given. For the permitted uncertainty and time delay,the designed filter can guarantee asymptotical stability of the robust and satisfy H∞performance level for the filtering error dynamic system. At last,a numerical example is given to demonstrate the feasibility and the simulation results show that the filter has a good filtering effect.

关 键 词：不确定性 中立系统 线性矩阵不等式 鲁棒H∞滤波 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]