一类不确定系统的故障诊断滤波器设计LMI方法

LMI approach to design fault detection filter for a class of uncertain systems

基于给定的性能指标,将受模型不确定性影响的线性不确定系统的基于观测器的鲁棒故障检测滤波器设计问题归结为H∞优化问题。通过选取适当的加权矩阵和观测器增益,使残差信号和加权故障信号之间的误差的范数最小。仿真例子说明了方法的有效性。

The problems related to the design of observer-based fault detection filter for uncertain linear systems.By introducing a new performance index,the fault detection filter design problem could be formulated as and H∞ optimization problem,which was solved by suitably selection weightion matrix and observer gain matrix such that the difference between the residual and the weighted fault could be minimized.The given example shows the application of the method.