一类变时滞饱和不确定系统鲁棒H∞滤波器设计

摘要

研究一类不确定时变时滞饱和系统的H∞滤波器设计问题.该类系统状态方程中含有时变时滞和有界不确定项,输出方程中含有饱和项,系统的噪声信号功率有界但统计特性未知.本文给出一种线性滤波器结构,提出一种新的设计方法.该方法主要应用Lyapunov-Krasovskii稳定性理论和线性矩阵不等式,来分析和设计滤波器;它能使得时变时滞项,饱和项以及不确定项在设计中得到有效处理,且所设计的滤波器能满足H∞性能指标,滤波器参数通过求解一种线性矩阵不等式来确定.例子的分析与仿真验证了本文方法的有效性.%This paper investigates the H-infinity filtering problem for a class of uncertain systems with both time-varying time-delay and saturation. In these systems, bound uncertain terms exist in their state equations and the saturation appears in their output equations; process and measurement noises are of unknown statistical characteristics but are bounded in power. For these systems, we propose the generalized dynamic filter architecture, and develop a novel method for designing the filter. By using the stability theorem of Lyapunov-Krasovskii and employing linear matrix inequalities (LMI), we effectively handle the time-varying time-delay, the saturation output and the bound uncertain terms. The parameters of the filter are obtained by solving a special kind of linear matrix inequalities. The designed filter also meets the requirements in H-infinity performances. The analysis of an illustrative example shows that the proposed method is effective.