Generation of a vibration suppression control profile from optimal energy concentration functions

A reference trajectory is generated which suppresses all the high frequency resonant dynamics in a flexible dynamic system. This reference trajectory is based on the shifted prolate spheroidal wave function that optimally achieves the energy concentration property. The reference trajectory is optimized by considering the first resonance frequency through the filter theory. The simulation results of hard disk drive actuator position control illustrate the effectiveness of the proposed method.