Parametric and Coordinate Control of Oscillating Systems: Physics-Based Oscillation Feedback Design

Abstract

This paper presents and compares two practical implementation schemes based on parametric and coordinate control. The parametric feedback control idea employs a parametric resonance phenomenon. An approximate frequency domain stationarization approach yields the setting for a very simple controller scheme. The application and numerical analysis of the results are given for the pendulum control example, which length varies in a parametric control case. The coordinate and parametric control demonstrate similar damping properties. The study also provides an inventive idea for passive parametric control combined with coordinate control that shows better damping. INDEX TERMSParameter-varying systems, time-varying systems, output feedback control, sinusoidal signals, settling time.