基于H_∞滤波器的状态时滞系统鲁棒故障诊断与检测

Robust Fault Detection for State-delay Systems Based on H_∞ Filter

针对一类具有未知输入的动态时滞系统,基于滤波器技术研究了系统的鲁棒故障检测问题。首先引入一个参考模型,形成广义残差系统,以此广义残差信号对扰动信号及其对故障信号的增益来体现其对扰动的鲁棒性和对故障的灵敏性;利用鲁棒控制理论得到了系统的故障检测滤波器设计方法,然后利用线性矩阵不等式(LMI)技术来求解此时滞独立滤波器设计问题,并给出了该滤波器解存在的条件以及滤波器增益矩阵的求解方法。最后,通过一个仿真例子验证了该方法的有效性。

A robust fault detection scheme is proposed for a class of time-delay systems with unknown inputs. The fault detection filter is designed by using H∞ control theory. The reference model is introduced to formulate the generalized residual, and the robustness of residual to unknown inputs and the sensitivity to fault signal are reflected by L2-gain. The robustness of the residual to the unknown inputs is proved and then linear matrix inequality （LMI） approach is used to derivate the existence conditions of the robust fault detection filter（RFDF） for the time -delay systems, independently of time delay. Finally, an example is given to demonstrate the effectiveness of the proposed approach.