奇异中立系统降维H∞滤波器的设计

摘要

利用Lyapunov稳定性理论和线性矩阵不等式方法,考虑奇异中立系统的降维H∞滤波问题.首先,给出奇异中立系统存在降维H∞滤波器的一些充分条件,使所得滤波误差系统渐近稳定,且H∞范数小于一个给定的性能指标γ;其次,以参数显示化的形式给出所需降维H∞滤波器的表达式.数值结果表明,所得结论可行且有效.%Using the Lyapunov stability theory and linear matrix inequality approach,we considered the reduced-order H∞ filtering problem for singular neutral systems.Firstly,some sufficient conditions for the reduced-order H∞ filter of singular neutral systems were given such that the resulting filtering error system was asymptotically stable and H∞ norm was less than a given performance index γ.Secondly,the expression of the reduced-order H∞ filters were given in the form of parametric display.Numerical results show that the conclusions are feasible and effective.