Control of a hysteretic actuator using inverse hysteresis compensation

William S. Galinaitis; Robert C. Rogers

doi:10.1117/12.316308

Abstract

The accurate control of a system that exhibits hysteresis requires a control strategy that incorporates some form of compensation for the hysteresis. One approach is to develop an accurate model P of the hysteresis and then use the inverse P^-1 as a compensator (inverse compensation). This paper focuses on the problem of determining P and P^-1 for a piezoelectric stack actuator. The KP operator is used to formulate the hysteresis operator P and from this an approximation P_m is derived. Compensation is then defined in terms of the inverse of the approximation, P_m^-1. Experimental data collected on an unloaded piezoelectric stack actuator is used to demonstrate the concept of inverse compensation. The parameters of P_m are identified using only major hysteresis loop data and results are given that show P_m provides an accurate model for both major and minor hysteresis loops. Results are then presented that demonstrate the capability of the inverse P_m^-1 to compensate for the actuator hysteresis.

Citation Download Citation

William S. Galinaitis, William S. Galinaitis, Robert C. Rogers, Robert C. Rogers, "Control of a hysteretic actuator using inverse hysteresis compensation", Proc. SPIE 3323, Smart Structures and Materials 1998: Mathematics and Control in Smart Structures, (24 July 1998); doi: 10.1117/12.316308; https://doi.org/10.1117/12.316308

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