Control of hysteresis: theory and experimental results

Xiaobo Tan; Ram Venkataraman; P. S. Krishnaprasad

doi:10.1117/12.436463

21 August 2001 Control of hysteresis: theory and experimental results

Xiaobo Tan, Ram Venkataraman, P. S. Krishnaprasad

Proceedings Volume 4326, Smart Structures and Materials 2001: Modeling, Signal Processing, and Control in Smart Structures; (2001) https://doi.org/10.1117/12.436463
Event: SPIE's 8th Annual International Symposium on Smart Structures and Materials, 2001, Newport Beach, CA, United States

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.

Citation Download Citation

Xiaobo Tan, Ram Venkataraman, and P. S. Krishnaprasad "Control of hysteresis: theory and experimental results", Proc. SPIE 4326, Smart Structures and Materials 2001: Modeling, Signal Processing, and Control in Smart Structures, (21 August 2001); https://doi.org/10.1117/12.436463

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