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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