A Blocking Zero Placement Method by Dynamic State Feedback

In this paper, we consider a blocking zero placement problem for closed-loop systems by state feedback. As a solution to the problem, we derive a dynamic state feedback controller which can be designed by solving a stabilization problem by constant state feedback. Moreover, we apply the proposed blocking zero placement method to a periodic disturbance rejection problem. Since a transfer function with blocking zeros can eliminate input signals corresponding to these blocking zeros, the periodic disturbance can be rejected if closed-loop systems have corresponding blocking zeros with the period on the imaginary axis.