On the Synthesis of Compensators for Non-Overshooting Step Response

A problem of practical and theoretical interest in control is the synthesis of a compensator that results in a closed loop system response with no overshoot. In this short paper we present an approach for synthesizing such compensators for SISO, minimum phase plants. The essential idea of the technique is to appropriately locate the closed loop poles with respect to fixed and added zeros. Admissible pole-zero locations are characterized by two sufficiency theorems.