一类Delta算子不确定时滞系统保性能滤波

Guaranteed cost filtering for a class of Delta-operator uncertain time delay systems

针对一类具有凸多面体参数不确定性的Delta算子时滞系统,研究其保性能滤波问题.采用线性矩阵不等式(LMI)方法,给出了滤波器存在的充分条件和显式表达式.给出的滤波器满足滤波误差动态渐近稳定和保性能方程最小.所提出的方法可将连续系统和离散系统统一到Delta算子框架下.仿真例子证明了该方法的可行性.

For a class of Delta-operator polytypic uncertain linear systems with time delay, the problem of guaranteed cost filtering is investigated. The sufficient conditions for the existence of filter and filter design methods are established by using LMI approach. The guaranteed cost filter guarantes asymptotic stability for filtering error dynamics and minimizing performance measures. The proposed metod brings previous related conclusions of continuous and discrete-time systems into the unified Delta-operator form. A numerical simulation shows the feasibility of the developed algorithms.