Polytopic型不确定系统的鲁棒故障检测滤波器设计

Robust fault detection filter for linear uncertain systems of the Polytopic type

研究了具有未知输入和Polytopic型不确定性线性离散时间系统的鲁棒故障检测滤波器(robustfaultdetectionfilter,RFDF)的设计问题.提出了H∞滤波方法及其在Polytopic型RFDF问题上的拓展,根据线性矩阵不等式得出了该设计问题解存在的充分条件以及独立参数RFDF解的参数化问题,并通过算例验证了算法的有效性.

In this paper, the robust fault detection filter (RFDF) design problem for linear discrete-time systems with both unknown inputs and Polytopic type uncertainties is studied. The main contributions include the H_∞-filtering formulation of RFDF design problem, the extension of an H_∞-filtering approach to the Polytopic type RFDF problem, the derivation of sufficient conditions in terms of linear matrix inequalities (LMIs), and the parameterization of parameter-independent RFDF solutions. A numerical example is given to illustrate the effectiveness of the proposed method.