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Invoking Halanay inequality to conclude on closed-loop stability of a process with input-varying delay

Authors: D. Bresch-Pietri, J. Chauvin, N. Petit, 10-th IFAC Workshop on Time Delay Systems, pp. 266 - 271, June 22 - 24, 2012, Boston, USA
At the light of a simple tutorial example, this paper discusses the merits of a recently introduced technique to control a class of systems with a delay depending on the past values of the control variables. The convergence proof of the proposed control strategy is obtained by a boundedness analysis of a class of delay differential equation, inspired by the Halanay inequality. The relations of the proposed technique with previous works from the literature on predictor-based controllers are discussed. The treated example is representative of a wide class of systems often observed in process control and distributed parameter systems.
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BibTeX:
@Proceedings{,
author = {D. Bresch-Pietri, J. Chauvin, N. Petit},
editor = {},
title = {Invoking Halanay inequality to conclude on closed-loop stability of a process with input-varying delay},
booktitle = {10-th IFAC Workshop on Time Delay Systems},
volume = {},
publisher = {},
address = {Boston},
pages = {266 - 271},
year = {2012},
abstract = {At the light of a simple tutorial example, this paper discusses the merits of a recently introduced technique to control a class of systems with a delay depending on the past values of the control variables. The convergence proof of the proposed control strategy is obtained by a boundedness analysis of a class of delay differential equation, inspired by the Halanay inequality. The relations of the proposed technique with previous works from the literature on predictor-based controllers are discussed. The treated example is representative of a wide class of systems often observed in process control and distributed parameter systems.},
keywords = {}}