一类时滞离散不确定性系统的鲁棒H_∞滤波

Robust _∞ Filtering for a Class of Uncertain DiscreteSystem with State Delay

研究了一类含有状态时滞的离散不确定性系统的鲁棒H∞滤波器设计问题,其中,系统的参数不确定性是时变和模有界的.为了设计使得滤波过程渐近稳定,且满足H∞扰动抑制水平的滤波器,给出了时滞系统满足H∞扰动抑制的鲁棒稳定性引理,利用修正的Riccati型方程推导了滤波器存在的充分条件.仿真试验表明了该设计方法的有效性和可行性.

The problem of robust H∞ filter design for linear discrete systems with state delay and parameter uncertainty were discussed. The parameter uncertainties were described by a real time-varying norm-bounded form. The lemma of robust stability for delay system with H∞ perturbation attenuation was given, and then the sufficient condition of existence of the robust filter was derived by the modified Riccati inequalities, so that the filtering process remains robustly stable and the transfer function from disturbance inputs to error state outputs meets the prespecified H∞-norm upper-bound constraints. The simulation example shows the validity and applicability of the proposed approach.