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Communication Dans Un Congrès Année : 2023

Stability analysis for linear systems with asymmetric input backlash and dead-zone through LMI conditions

Résumé

This paper deals with the stability analysis of the interconnection between a linear system and a nonlinear operator. This operator is the combination between an asymmetric backlash and a dead-zone. It is a memory-based operator which is only piecewise differentiable. To handle such a nonlinearity, which is more complex than the standard ones, we aim to capture the closed-loop trajectories in some suitable regions of the state space. Uniform Ultimate Boundednes (UUB) property is addressed, using the intrinsic behavior of the operator and a Lyapunov-based approach. Sufficient conditions are provided in terms of Linear Matrix Inequalities (LMIs). A numerical illustration is presented to assess our contribution.
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Dates et versions

hal-04169588 , version 1 (24-07-2023)

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Aurélien Pierron, Jérémie Kreiss, Marc Jungers, Gilles Millérioux, Jérémy Dupont. Stability analysis for linear systems with asymmetric input backlash and dead-zone through LMI conditions. 21st European Control Conference, ECC'2023, Jun 2023, Bucharest, Romania. ⟨10.23919/ECC57647.2023.10178230⟩. ⟨hal-04169588⟩
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