模型不确定性线性系统的鲁棒故障检测滤波器设计

基于给定的性能指标函数, 将受模型不确定性和范数有界未知输入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, 并通过选取适当的后置滤波器和观测器增益矩阵, 使产生的残差达到对于未知输入和模型不确定性的鲁棒性与对于故障的灵敏度的最佳均衡. 简例验证了本文提出算法的有效性.

Design of robust fault detection filterfor uncertain linear systems with modelling errors

The problems related to the design of observer-based robust fault detection filter (RFDF) for uncertain linear systems with both modellling errors and unknown inputs were studied. By introducing a new performance index, the RFDF design problem could be formulated as an H-infinity-optimization problem, which was solved by suitably selecting RH-infinity post-filter and observer gain matrix such that the generated residual could achieve the best trade-off between the sensitivity to fault and the robustness to unknown input, modeling errors as well as control input. The design example and its simulation results demonstrate the effectiveness of the proposed approach.