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Control of Nonlinear Systems with Delays

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Encyclopedia of Systems and Control

Abstract

The reader is introduced to the predictor feedback method for the control of general nonlinear systems with input delays of arbitrary length. The delays need not necessarily be constant but can be time-varying or state-dependent. The predictor feedback methodology employs a model-based construction of the (unmeasurable) future state of the system. The analysis methodology is based on the concept of infinite-dimensional backstepping transformation – a transformation that converts the overall feedback system to a new, cascade “target system” whose stability can be studied with the construction of a Lyapunov function.

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Correspondence to Nikolaos Bekiaris-Liberis .

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Bekiaris-Liberis, N., Krstic, M. (2020). Control of Nonlinear Systems with Delays. In: Baillieul, J., Samad, T. (eds) Encyclopedia of Systems and Control. Springer, London. https://doi.org/10.1007/978-1-4471-5102-9_17-2

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  • DOI: https://doi.org/10.1007/978-1-4471-5102-9_17-2

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  • Publisher Name: Springer, London

  • Print ISBN: 978-1-4471-5102-9

  • Online ISBN: 978-1-4471-5102-9

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Chapter history

  1. Latest

    Control of Nonlinear Systems with Delays
    Published:
    14 October 2019

    DOI: https://doi.org/10.1007/978-1-4471-5102-9_17-2

  2. Original

    Control of Nonlinear Systems with Delays
    Published:
    02 October 2014

    DOI: https://doi.org/10.1007/978-1-4471-5102-9_17-1