Robust compensation of a chattering time-varying input delay

Delphine Bresch-Pietri 1 Nicolas Petit 2
1 GIPSA-SLR - SLR
GIPSA-DA - Département Automatique
2 CAS - Centre Automatique et Systèmes
Abstract : We investigate the design of a prediction-based controller for a linear system subject to a time-varying input delay, not necessarily causal. This means that the information feeding the system can be older than ones previously received. We propose to use the current delay value in the prediction employed in the control law. Modeling the input delay as a transport Partial Differential Equation, we prove asymptotic tracking of the system state, providing that the average L 2 -norm of the delay time-derivative is sufficiently small. This result is obtained by generalizing Halanay inequality to time-varying differential inequalities.
Keywords : control system synthesis Poisson equation time-varying systems compensation linear systems robust control partial differential equations delays
Type de document :
Communication dans un congrès
53rd IEEE Conference on Decision and Control (CDC 2014), Dec 2014, Los Angeles, United States. IEEE, Proceedings of the 53rd IEEE Annual Conference on Decision and Control (CDC), pp.457-462, 2014, <10.1109/CDC.2014.7039423>
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Contributeur : Delphine Bresch-Pietri <>
Soumis le : lundi 5 janvier 2015 - 18:26:22
Dernière modification le : lundi 5 décembre 2016 - 20:59:01
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Delphine Bresch-Pietri, Nicolas Petit. Robust compensation of a chattering time-varying input delay. 53rd IEEE Conference on Decision and Control (CDC 2014), Dec 2014, Los Angeles, United States. IEEE, Proceedings of the 53rd IEEE Annual Conference on Decision and Control (CDC), pp.457-462, 2014, <10.1109/CDC.2014.7039423>. <hal-01100071>

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