In this article, the robust fault detection and isolation (FDI) Kalman filter is extended based on stochastic event-triggered schedulers for discrete linear systems consisting of deterministic/stochastic unknown inputs with nonzero mean and colored measurement noise. In the proposed FDI method, first, a subspace of the main system that significantly attenuates disturbance effects is proposed. After that, the fusion method is proposed for dealing with the colored measurement-noise problem in designing the Kalman filter and preventing from leading to measurement noise with zero mean and zero covariance. The stochastic event-triggered schedulers are considered as Gaussian functions. Therefore, the Gaussian property of innovation sequence is preserved, and consequently, the recursive equation of the Kalman filter need not be extended based on approximation techniques. Finally, design parameters are chosen based on the convex optimization problem such that the lowest communication rate between the sensor node and FDI filter, and also the best FDI performance are achieved. The proposed FDI method is evaluated to detect and isolate stator interturn short circuit and broken rotor bars faults with unbalanced voltage as disturbance in three-phase induction motors.

中文翻译：

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基于卡尔曼滤波器的随机事件触发故障检测与隔离


在本文中，鲁棒故障检测和隔离 (FDI) 卡尔曼滤波器基于随机事件触发调度程序进行了扩展，适用于由具有非零均值和有色测量噪声的确定性/随机未知输入组成的离散线性系统。在所提出的FDI方法中，首先提出了一个显着衰减扰动影响的主系统子空间。然后，提出了融合方法来处理卡尔曼滤波器设计中的有色测量噪声问题，防止导致测量噪声的零均值和零协方差。随机事件触发的调度器被视为高斯函数。因此，创新序列的高斯性质被保留，并且因此，卡尔曼滤波器的递归方程不需要基于近似技术来扩展。最后，基于凸优化问题选择设计参数，使得传感器节点和FDI过滤器之间的通信速率最低，并且获得最佳的FDI性能。对所提出的 FDI 方法进行了评估，以检测和隔离三相感应电机中以不平衡电压为干扰的定子匝间短路和转子条断裂故障。