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

Abstract : 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.
Document type :
Journal articles
Complete list of metadatas

Cited literature [23 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-01227332
Contributor : Delphine Bresch-Pietri <>
Submitted on : Monday, April 10, 2017 - 7:04:53 PM
Last modification on : Thursday, August 22, 2019 - 11:32:03 AM
Long-term archiving on : Tuesday, July 11, 2017 - 2:27:46 PM

File

SCL_artstein_100417.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-01227332, version 2

Citation

Delphine Bresch-Pietri, Christophe Prieur, Emmanuel Trélat. New formulation of predictors for finite-dimensional linear control systems with input delay . Systems and Control Letters, Elsevier, 2018, 113, pp.9-16. ⟨hal-01227332v2⟩

Share

Metrics

Record views

789

Files downloads

514