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Linear Parameter-Varying and Time-Delay Systems pp 293–333Cite as

Control of LPV Time-Delay Systems

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Part of the book series: Advances in Delays and Dynamics ((ADVSDD,volume 3))

Abstract

This chapter pertains of the control of linear parameter-varying time-delay systems in the framework of parameter-dependent differential equations and Lyapunov-Krasovskii functionals. State-feedback and output-feedback controllers are considered both in the memoryless and with-memory cases. Controllers with approximate memory, which implement a different delay than the one in the system, are also introduced and shown to generalize the concepts of memoryless controllers and controllers with exact memory. Some examples with simulations are given for illustration.

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Notes

  1. 1.

    We drop the dependence on the parameters to improve clarity.

  2. 2.

    Avoiding this simplification is possible; see e.g. [16].

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Authors and Affiliations

  1. Department of Biosystems Science and Engineering, Swiss Federal Institute of Technology–Zürich, Basel, Switzerland

    Corentin Briat

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  1. Corentin Briat
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Correspondence to Corentin Briat .

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Briat, C. (2015). Control of LPV Time-Delay Systems. In: Linear Parameter-Varying and Time-Delay Systems. Advances in Delays and Dynamics, vol 3. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-44050-6_8

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  • DOI: https://doi.org/10.1007/978-3-662-44050-6_8

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-44049-0

  • Online ISBN: 978-3-662-44050-6

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