Disturbance attenuation and fault detection via zero-pole assignment: A dynamic observer approach

In this paper, a zero-pole assignment approach is proposed for disturbance attenuation in dynamic fault detection observer design. The properties of dynamic observers are analysed and it is shown that the poles of a dynamic observer can be shifted and the additional zeros can be assigned arbitrarily. Then, a novel pole-zero assignment approach is proposed and its application to a continuous system is presented. In the simulation, the disturbances are low-frequency signals ($<1 text{Hz}$), which is more difficult to be attenuated compared to high-frequency disturbances. The dynamic observer shows the capabilities to attenuate such low-frequency disturbances. The zeros assignment in observer design would be the main contribution of this paper.