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Robust compensation of a chattering time-varying input delay with jumps

Abstract : We investigate the design of a prediction-based controller for a linear system subject to a time-varying input delay, not necessarily First-In/First-Out (FIFO). This means that the input signals can be reordered. The feedback law uses the current delay value in the prediction. It does not exactly compensate the delay in the closed-loop dynamics but does not require to predict future delay values, contrary to the conventional prediction technique. Modeling the input delay as a transport Partial Differential Equation, we prove asymptotic stabilization of the system state, that is, robust delay compensation, providing that the average L 2-norm of the delay time-derivative over some time-window is sufficiently small and that the average time between two discontinuities (average dwell time) is sufficiently large.
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Contributor : Frederic Mazenc Connect in order to contact the contributor
Submitted on : Wednesday, July 25, 2018 - 2:06:44 PM
Last modification on : Saturday, June 25, 2022 - 10:32:51 PM
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Delphine Bresch-Pietri, Frédéric Mazenc, Nicolas Petit. Robust compensation of a chattering time-varying input delay with jumps. Automatica, Elsevier, 2018, 92, pp.225-234. ⟨10.1016/j.automatica.2018.03.058⟩. ⟨hal-01849024⟩



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