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Proceedings Paper

Control of hysteresis: theory and experimental results
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Paper Abstract

Hysteresis in smart materials hinders the wider applicability of such materials in actuators. In this paper, a systematic approach for coping with hysteresis is presented. The method is illustrated through the example of controlling a commercially available magnetostrictive actuator. We utilize the low-dimensional model for the magnetostrictive actuator that was developed in earlier work. For low frequency inputs, the model approximates to a rate-independent hysteresis operator, with current as its input and magnetization as its output. Magnetostrictive strain is proportional to the square of the magnetization. In this paper, we use a classical Preisach operator for the rate-independent hysteresis operator. In this paper, we present the results of experiments conducted on a commercial magnetostrictive actuator, the purpose of which was the control of the displacement/strain output. A constrained least-squares algorithm is employed to identify a discrete approximation to the Preisach measure. We then discuss a nonlinear inversion algorithm for the resulting Preisach operator, based on the theory of strictly-increasing operators. This algorithm yields a control input signal to produce a desired magnetostrictive response. The effectiveness of the inversion scheme is demonstrated via an open-loop trajectory tracking experiment.

Paper Details

Date Published: 21 August 2001
PDF: 12 pages
Proc. SPIE 4326, Smart Structures and Materials 2001: Modeling, Signal Processing, and Control in Smart Structures, (21 August 2001);
Show Author Affiliations
Xiaobo Tan, Univ. of Maryland/College Park (United States)
Ram Venkataraman, Veridian Inc. and Air Force Research Lab. (United States)
P. S. Krishnaprasad, Univ. of Maryland/College Park (United States)

Published in SPIE Proceedings Vol. 4326:
Smart Structures and Materials 2001: Modeling, Signal Processing, and Control in Smart Structures
Vittal S. Rao, Editor(s)

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