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研究受不确定性扰动影响情况下线性时不变连续时间系统的鲁棒故障诊断滤波器设计问题 .引入一种新的体现残差对于故障信号灵敏度和不确定性扰动鲁棒性的性能指标 ,从系统的 L2 增益角度出发 ,将基于状态观测器的鲁棒故障诊断滤波器设计问题形成为 H∞ 优化问题 .然后应用线性矩阵不等式技术 ,给出并证明了该设计问题的解存在条件和求解方法 .并通过简例说明了算法的有效性 .
The problem of designing a robust fault diagnosis filter for a linear time-invariant continuous-time system under the influence of uncertainty disturbances is studied.A new performance index that embodies the robustness of the residuals to the disturbances of the sensitivity and uncertainty of the fault signals is introduced, From the viewpoint of system L2 gain, the state observer-based robust fault diagnosis filter design problem is formulated as a H∞ optimization problem.And then, the existence and solution of the solution to this design problem are given and proved using the linear matrix inequality Method and illustrates the effectiveness of the algorithm through a brief example.