Abstract
The rate-dependent hysteresis in giant magnetostrictive materials is a major impediment to the application of such material in actuators. In this paper, a relevance vector machine (RVM) model is proposed for describing the hysteresis nonlinearity under varying input current. It is possible to construct a unique dynamic model in a given rate range for a rate-dependent hysteresis system using the sinusoidal scanning signals as the training set input signal. Subsequently, a proportional integral derivative (PID) control scheme combined with a feedforward compensation is implemented on a giant magnetostrictive actuator (GMA) for real-time precise trajectory tracking. Simulations and experiments both verify the effectiveness and the practicality of the proposed modeling and control methods.
Highlights
Magnetostrictive actuator has broad applications in the super-precision tracking system and microvibration control systems due to its prominent capabilities of high energy densities, large stroke, and fast response
Values of α and σ2 cannot be obtained in closed form, and here we summarize formulae for their iterative re-estimation
The main contribution of this paper is to propose a systematic approach for applications of a rate-dependent hysteresis nonlinear model to precise tracking control of the giant magnetostrictive actuator (GMA)
Summary
Magnetostrictive actuator has broad applications in the super-precision tracking system and microvibration control systems due to its prominent capabilities of high energy densities, large stroke, and fast response. The stroke and output force is provided by the Terfenol-D rod in response to a varying magnetic field generated by the surrounding solenoid coils. The existing techniques for the rate-dependent hysteresis modeling can be classified into three categories. The third category is the intelligent methods, such as artificial neural network (ANN) [8,9,10], fuzz tree (FT) [11], and all providing efficient ways to model the rate-dependent hysteresis. Journal of Applied Mathematics (1) Push rod (2) Permanent magnet (3) Solenoid (4) Bottom cap (5) Terfenol-D rod (6) Preload spring (7) Press cap Figure 1: Section view of GMA
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