Control-Oriented Hysteresis Models for Magnetic Electron Lenses

Abstract

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On hysteresis in magnetic lenses of electron microscopes

“…least squares) procedure in which the measured current I serves as u in the model and the output w should coincide with the obtained sharpness S. In this stadium that is not possible. In the first place since the presented (Duhem class) hysteresis model does not capture the magnetization phenomena as observed between I and B in the real system (offline experiments with an I − B setup were carried out in [2]). It is possible to carry out a similar analysis with other models like the Preisach model.…”

“…The hysteresis model used is a differential equation implementation of the Coleman-Hodgdon model [7] (Duhem class, [8]). The specific implementation is explained in more detail in [2]. The time derivative of dw/dt is denoted asẇ.…”

“…Therefore, magnetic field measurement is considered as an option, but it is studied separately, e.g. [2]. This paper shows the results of experiments that illustrate the open loop response when large but temporary changes in the input are applied.…”

Identification of nonlinear cascade systems with output hysteresis based on the key term separation principle

“…This model (a first-order nonlinear differential equation) is able to capture, in an analytical form, a range of shapes of hysteretic loops, which match the behavior of a wide class of hysteretic systems [9][10][11][12][13][14][15].…”

Modeling and Identification of Discrete-Time Nonlinear Dynamic Cascade Systems with Input Hysteresis

“…This model is able to capture, in an analytical form, a range of shapes of hysteretic loops, which match the behavior of a wide class of hysteretic systems. Applications of this differential equation model based on more or less complex solutions of the differential equation were used, for example, in [6,[18][19][20][21][22].…”