Observer- based fault detection with a FIR filter for systems with 2nd order dynamics and available first output derivative

摘要

The connection of an input fault observer with a FIR filter for systems with 2nd order dynamics and available first output derivative is based on omitting the need for numerical output differentiation and can be applied when the system can be described by a differential equation with constant dependence of unavailable second output derivative and input signal. . In contrast to the hitherto known iPD and iPID controllers, it eliminates the need to calculate the second derivative of the output quantity by differentiating the measurable first derivative and thus significantly reduces the sensitivity of the reconstructed fault to the measurement noise. The advantages of the new type of observer will be applied in the management of systems with negligible and long traffic delays.