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Prediction-Based Stabilization of Linear Systems Subject to Input-Dependent Input Delay of Integral-Type

Authors: Delphine Bresch-Pietri, Jonathan Chauvin, and Nicolas Petit, IEEE Transactions on Automatic Control, Vol. 69 No 9, pp. 2385 - 2399, September 2014 DOI: 10.1109/TAC.2014.2322238
In this paper, it is proved that a predictor-based feedback controller can effectively yield asymptotic convergence for a class of linear systems subject to input-dependent input delay. This class is characterized by the delay being implicitly related to past values of the input via an integral model. This situation is representative of systems where transport phenomena take place, as is frequent in the process industry. The sufficient conditions obtained for asymptotic stabilization bring a local result and require the magnitude of the feedback gain to be consistent with the initial conditions scale. Arguments of proof for this novel result include general Halanay inequalities for delay differential equations and build on recent advances of backstepping techniques for uncertain or varying delay systems.
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BibTeX:
@Article{2014-10-13,
author = {Jonathan Chauvin Delphine Bresch-Pietri, and Nicolas Petit},
title = {Prediction-Based Stabilization of Linear Systems Subject to Input-Dependent Input Delay of Integral-Type},
journal = {IEEE Transactions on Automatic Control},
volume = {59},
number = {9},
pages = {2385 - 2399},
year = {2014},
}