Design of a new phase lead repetitive compensator for fast transient response

This paper proposes a simple design of a new discrete phase lead repetitive controller (RC) for fast transient response. The proposed phase lead RC provides a phase lead angle to compensate the phase lag of the closed loop system. This increases the range of the RC learning gain for which the system is stable and allows a large value of the learning gain to be used to achieve a faster convergence rate. The proposed compensator design is applied to a piezoactuator (PA) plant. A comprehensive analysis of the proposed RC structure and a comparison study are also presented in this paper. Simulation results show faster convergence rate and improved tracking performance of the system with the proposed phase lead RC.