奇异系统基于状态观测器的鲁棒故障诊断残差产生器设计的LMI方法

研究了受不确定性扰动影响下奇异系统的鲁棒故障诊断滤波器设计问题.从系统的L₂增益角度出发，将奇异系统基于状态观测器的鲁棒故障诊断滤波器设计问题归结为H_∞优化问题，通过选择适当的加权矩阵和观测器系数矩阵求解H_∞优化问题，即其最优解能最大化残差对故障信号的灵敏度且能够确保残差对不确定性扰动的鲁棒性. 应用线性矩阵不等式技术，给出并证明了该设计问题解的存在条件和求解方法.

LMI approach to design the robust fault diagnosis residual generator for the singular systems based on the state observer

The robust fault detection filter design for singular systems with uncertain disturbance is studied. From the viewpoint of L₂ gain, the state observer based robust fault detection filter design for singular systems is formulated as an H_∞ optimization problem, and is further solved by suitably selecting weighting matrix and observer coefficient matrix, which can maximize the sensitivity of fault residual and simultaneously guarantee the robustness of uncertain disturbance residual. The solvable conditions of this optimization problem and the solutions are derived by employing linear matrix inequality techniques.