A forwarding-based approach for the stabilization of linear systems in the presence of delayed nonlinear actuators - Archive ouverte HAL
Communication Dans Un Congrès Année : 2024

A forwarding-based approach for the stabilization of linear systems in the presence of delayed nonlinear actuators

Résumé

In this paper, we revisit the forwarding approach for the input-to-states stabilization of linear systems subject to external perturbations, input nonlinearities (e.g. saturation and backlash functions), and different input delays. For this problem, we propose a Lyapunov functional analysis in the original coordinates certifying input-to-states stability of the origin with any desired type of convergence (asymptotic, finitetime, fixed-time, etc). At the end, we present some numerical simulations to show the effectiveness of our method and to show that in the linear case we recover the well-known backstepping methodology for delay compensation.

Domaines

Automatique
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Dates et versions

hal-04766709 , version 1 (05-11-2024)

Identifiants

  • HAL Id : hal-04766709 , version 1

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Salim Zekraoui, Mathieu Bajodek, Daniele Astolfi. A forwarding-based approach for the stabilization of linear systems in the presence of delayed nonlinear actuators. 63rd IEEE Conference on Decision and Control (CDC 2024), Dec 2024, Milan, Italy. ⟨hal-04766709⟩
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