一类时滞LPV系统的鲁棒故障检测

Robust Fault Detection for a Class of LPV Systems with Time-de-lays

研究一类具有参数依赖时滞的线性参数变化系统的鲁棒故障检测问题,使残差信号和故障信号之间的误差最小,同时提高残差信号对控制输入和未知输入信号的鲁棒性.基于依赖于时变参数的滤波器构造残差产生系统,利用H∞控制理论将故障检测滤波器的设计归结为H∞滤波问题,应用线性矩阵不等式技术得到了此类系统鲁棒故障检测滤波器存在的充分条件.数值仿真表明所提方法是可行的.

The robust fault detection problem for a class of linear parameter-varying systems with parameter-varying delays is studied. The objective is to make the difference between the residual signal and the fault signal as small as pbssible, and enhance the robustness of these signals to control input and unknown input. Attention is focused on constructing the residual generator based on the filter whose parameter matrices depend on time-varying parameter, and formulating the design of fault detection filters as H∞ filtering problem, Sufficient condition for the existence of the above filters is established by means of linear matrix inequalities. A numerical example is given to illustrate the feasibility of the proposed approach.