具有参数摄动的时滞系统鲁棒H_∞滤波器设计

Robust H_∞ Filtering Design for a Class of Uncertain Time-delay System

针对一类范数有界,参数摄动的时滞系统,讨论了其鲁棒H∞滤波器的设计问题,基于Lyapunov稳定性理论,设计一个满阶鲁棒H∞滤波器,用该方法设计的滤波器使得滤波误差动态系统是鲁棒渐近稳定的,并且满足给定的H∞性能要求,推导出滤波器存在的充分条件,最后一个数值仿真例子,验证了该方法的可行性和有效性。

Using the theory of the Lyapunov,a full order robust H∞ filter is designed.The designed filter can guarantee the robust asymptotically stability and satisfy H∞ performance level for the filtering error dynamic system.A sufficient condition for the existence of the filter is given.At last,a numerical example is given to demonstrate the feasibility and effectiveness of the design.