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Article Dans Une Revue IEEE Control Systems Letters Année : 2024

Control design for linear systems with asymmetric input backlash and dead-zone through LMI conditions

Résumé

The interconnection between a linear time invariant system and a nonlinear operator gathering an asymmetric backlash and an asymmetric dead-zone is studied, which are relevant in mechanics and hydraulics. This paper aims to design a controller as a static linear state feedback to ensure Uniform Ultimately Bounded (UUB) property for the closed-loop system. A UUB-Lyapunov-based approach is used to provide sufficient conditions as Linear Matrix Inequalities (LMIs) for this control design and a resulting optimization problem is offered to minimize the UUB set. A numerical illustration presents the efficiency of our contribution and related discussions.
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Dates et versions

hal-04609480 , version 1 (12-06-2024)

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Jérémie Kreiss, Marc Jungers, Aurélien Pierron, Gilles Millérioux, Jérémy Dupont, et al.. Control design for linear systems with asymmetric input backlash and dead-zone through LMI conditions. IEEE Control Systems Letters, In press, ⟨10.1109/LCSYS.2024.3405389⟩. ⟨hal-04609480⟩
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