网络控制系统故障检测滤波器的设计与优化

摘要

针对存在未知时变时延的网络环境，研究了网络控制系统鲁棒故障检测滤波器的设计与优化问题。考虑未知时变时延对网络控制系统的影响，建立网络控制系统故障检测模型。在此基础上设计鲁棒故障检测滤波器，以线性矩阵不等式的形式给出了该滤波器的存在条件和求解方法。为进一步改善故障检测滤波器的性能，采用时域优化方法对其进行优化，以矩阵Moore-Penrose逆的形式给出优化问题的最优解。数值算例表明，所述方法在小故障检测和检测速度方面具有良好的效果。%The problem of robust fault detection filter design and optimization was studied for networked control sys-tems ( NCS) with unknown time-varying delay. Considering the impact of the unknown time-varying delay on the NCS, the fault detection model of NCS was established. Based on the model, the robust fault detection filter was de-veloped. The existence condition and solutions of the filter were derived by using linear matrix inequality tech-niques. Furthermore, to improve the performance of the robust fault detection filter, a time domain optimization ap-proach was proposed. The optimum solution to the optimization problem was given in the form of Moore-Penrose in-verse of matrix. A numerical example is provided to show that the proposed method has good performance on small fault detection capability and fault detection speed.