Nonlinear discrete-time systems with delayed control: a reduction

Abstract : In this work, the notion of reduction is introduced for discrete-time nonlinear input-delayed systems. The retarded dynamics is reduced to a new system which is free of delays and equivalent (in terms of stabilizability) to the original one. Different stabilizing strategies are proposed over the reduced model. Connections with existing predictor-based methods are discussed. The methodology is also worked out over particular classes of time-delay systems as sampled-data dynamics affected by an entire input delay.
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Mattia Mattioni, Salvatore Monaco, Dorothée Normand-Cyrot. Nonlinear discrete-time systems with delayed control: a reduction. Systems and Control Letters, Elsevier, 2018, 114 (C), pp.31-37. ⟨10.1016/j.sysconle.2018.02.007⟩. ⟨hal-01723101⟩

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