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

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.
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https://hal-mines-paristech.archives-ouvertes.fr/hal-00755249
Contributor : François Chaplais <>
Submitted on : Tuesday, November 20, 2012 - 5:33:33 PM
Last modification on : Thursday, September 24, 2020 - 5:04:18 PM

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  • HAL Id : hal-00755249, version 1

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Delphine Bresch-Pietri, Jonathan Chauvin, Nicolas Petit. Invoking Halanay inequality to conclude on closed-loop stability of a process with input-varying delay. 10-th IFAC Workshop on Time Delay Systems, Jun 2012, Boston, United States. pp.266 - 271. ⟨hal-00755249⟩

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