Mixed H_2/H_∞ filtering of time delay systems

摘要

The problems of mixed H_2/H_∞ filtering design for linear systems with time delay are investigated. The main purpose is to design a stable mixed H_2/H_∞ filter which minimizes the H_2 performance measure satisfying a prescribed H_∞ norm bound on another closed loop system. The sufficient conditions of existence of filter, the mixed H_2/H_∞ filter design method, and the upper bound of H_2 performance measure are proposed by LMI(linear matrix inequality) technique in terms of all finding variables. Also, we present an optimization problem in order to get the optimal mixed H_2/H_∞ filter.