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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 .
Based on the given performance index function, the observer-based robust fault detection filter design problem for linear systems with uncertainties affected by the model uncertainties and the bounded unknown input of norm is reduced to H∞ optimization problem. The appropriate post-filter and observer gain matrix allows the resulting residuals to achieve the best balance of robustness against unknown inputs and model uncertainties and sensitivity to failures. The examples demonstrate the effectiveness of the proposed algorithm .