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Magnetic force modelling and nonlinear switched control of an electromagnetic actuator - Extended version

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Abstract

This paper presents the magnetic force modelling of a typical electromagnetic valve actuator system. In this work, the objective is to take into account two important features: the magnetic saturation phenomenon which is a physical problem and the positivity constraint of the magnetic force. Those issues are addressed with a switch modelling approach. The first proposed control law proves the stability in a limited set and the second one ensure the global stability of the closed loop system. For both controllers, the main part of the control consists of a two steps backstepping control, a first controller regulates the mechanical part depending on the expression of the magnetic force. And a second controller controls the coil current and the magnetic force implicitly. An illustrative example shows the effectiveness of the approach.
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Dates and versions

hal-02080251 , version 1 (26-03-2019)
hal-02080251 , version 2 (04-09-2019)

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Flavien Deschaux, Frédéric Gouaisbaut, Yassine Ariba. Magnetic force modelling and nonlinear switched control of an electromagnetic actuator - Extended version. 2019. ⟨hal-02080251v2⟩
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