Reduction of discrete-time two-channel delayed systems

Abstract : In this paper, the reduction method is extended to time-delay systems affected by two mismatched input delays. To this end, the intrinsic feedback structure of the retarded dynamics is exploited to deduce a reduced dynamics which is free of delays. Moreover, among other possibilities, an Immersion and Invariance feedback over the reduced dynamics is designed for achieving stabilization of the original dynamics. A chained sampled-data dynamics is used to show the effectiveness of the proposed control strategy through simulations.
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IEEE Control Systems Letters, IEEE, 2018, 2 (3), pp.339-344. 〈10.1109/LCSYS.2018.2837881〉
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Mattia Mattioni, Salvatore Monaco, Dorothée Normand-Cyrot. Reduction of discrete-time two-channel delayed systems. IEEE Control Systems Letters, IEEE, 2018, 2 (3), pp.339-344. 〈10.1109/LCSYS.2018.2837881〉. 〈hal-01800646〉

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