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Article Dans Une Revue IEEE Control Systems Letters Année : 2022

Robust Global Asymptotic Stabilization of Linear Cascade Systems with Hysteresis Interconnection

Résumé

We address the problem of setpoint regulation for cascaded minimum-phase linear systems interconnected through a scalar hysteresis, modeled as a Prandtl-Ishlinskii operator. Employing well-posed constrained differential inclusions to represent the hysteretic dynamics, we formulate the control problem in terms of stabilization of a compact set of equilibria depending on the hysteresis states. For our design, we firstly consider a proportional-integral controller for linear systems with hysteretic input, and provide model-free sufficient conditions based on high-gain arguments for closed-loop stability. Then, the controller is dynamically extended to obtain an inversion-free stabilizer of the overall cascade. For the presented schemes, we prove robust global asymptotic stability of a compact set that ensures setpoint regulation, regardless of the hysteresis states.
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hal-03622392 , version 1 (29-03-2022)

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Alessandro Bosso, Luca Zaccarian, Andrea Tilli, Matteo Barbieri. Robust Global Asymptotic Stabilization of Linear Cascade Systems with Hysteresis Interconnection. IEEE Control Systems Letters, 2022, 7, pp.337 - 342. ⟨10.1109/LCSYS.2022.3188748⟩. ⟨hal-03622392⟩
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