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Adaptive Backstepping for Uncertain Systems With Time-Delay On-Line Update Laws

Authors: Delphine Bresch-Pietri, Jonathan Chauvin, Nicolas Petit, 2011 American Control Conference, pp. 4890-4897, June 29 - July 01, 2011, San Francisco
This paper addresses the general problem of the equilibrium regulation of potentially unstable linear systems with an unknown input time-delay and unknown parameters in the plant. We extend recent results from the literature where such systems are treated using a backstepping approach applied to a distributed parameters system representation of the delay. Furthering previous approaches, our contribution concerns on-line adaptation of the delay. We develop a local asymptotic convergence result for single-input systems. It is illustrated in simulations on the control of the Air-Fuel Ratio in Spark Ignition engines. The results on this particular example stress the merits of the proposed control algorithm which, with reduced implementation difficulties, reveals sympathetic to on-line applications.
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BibTeX:
@Proceedings{,
author = {Delphine Bresch-Pietri, Jonathan Chauvin, Nicolas Petit},
editor = {},
title = {Adaptive Backstepping for Uncertain Systems With Time-Delay On-Line Update Laws},
booktitle = {2011 American Control Conference},
volume = {},
publisher = {},
address = {San Francisco},
pages = {4890-4897},
year = {2011},
abstract = {This paper addresses the general problem of the equilibrium regulation of potentially unstable linear systems with an unknown input time-delay and unknown parameters in the plant. We extend recent results from the literature where such systems are treated using a backstepping approach applied to a distributed parameters system representation of the delay. Furthering previous approaches, our contribution concerns on-line adaptation of the delay. We develop a local asymptotic convergence result for single-input systems. It is illustrated in simulations on the control of the Air-Fuel Ratio in Spark Ignition engines. The results on this particular example stress the merits of the proposed control algorithm which, with reduced implementation difficulties, reveals sympathetic to on-line applications.},
keywords = {}}