New formulation of predictors for finite-dimensional linear control systems with input delay - Archive ouverte HAL
Article Dans Une Revue Systems and Control Letters Année : 2018

New formulation of predictors for finite-dimensional linear control systems with input delay

Résumé

This paper focuses on a prediction-based control for linear time invariant systems subject to a constant input delay, also known as the Artstein reduction approach. Standardly, this method consists in considering a predicted delay-free system, on which one can design straightforwardly a stabilizing controller. The resulting controller is then defined through an implicit integral equation, involving both the original system state and past values of the input. We propose here an alternative formulation which allows to write explicitly the Artstein transformation, and thus the corresponding controller, in terms of past values of the state only. This formal explicit formulation is the main contribution of the paper.
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Dates et versions

hal-01226598 , version 1 (09-11-2015)
hal-01226598 , version 2 (10-11-2015)
hal-01226598 , version 3 (10-04-2017)

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Delphine Bresch-Pietri, Christophe Prieur, Emmanuel Trélat. New formulation of predictors for finite-dimensional linear control systems with input delay. Systems and Control Letters, 2018, 113, pp.9-16. ⟨10.1016/j.sysconle.2017.12.007⟩. ⟨hal-01226598v3⟩
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