线性状态多时滞系统鲁棒故障诊断滤波器设计

研究一类具有外部扰动的不确定线性时滞系统的鲁棒故障诊断滤波器设计问题。通过引入一种广义坐标变换,使得线性连续状态多时滞系统变为输出灌入(outputinjection)系统;据此,引入一种体现残差对故障信号具有灵敏性同时对不确定性扰动具有鲁棒性的性能指标,应用H∞最优控制理论,借助线性矩阵不等式(LMI)技术设计系统的状态全维鲁棒故障诊断滤波器,并给出该滤波器问题解的存在条件和求解算法。最后给出一个仿真算例,仿真结果表明了该算法的有效性和可行性。

RFDF design for linear system with state multi-delay

RFDF(robust fault detection filter) of a class of uncertain linear state multi-delay systems with external disturbance is studied.The first step is to find a generalized coordinate change such that the time-delay system becomes an output injection system in the new coordinates.Based on this,by introducing a new performance index which expresses the robustness as well as the sensitivity of residual signals to the uncertain disturbances as well as to the faults,the observer-based robust fault detection filter design is proposed,the solvable condition and solutions of this problem are derived by employing LMI(linear matrix inequality) techniques.An example is used to demonstrate the proposed approach.