Finite horizon linear quadratic regulation for linear discrete time-varying systems with single/multiple input delay(s)

Jing Zhou, Qian Wang

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    3 Citations (Scopus)

    Abstract

    This paper studies the linear quadratic regulation problem for linear discrete time-varying systems with one or multiple delays in control input. This type of input-delay system can be used to model delayed actuation, where the system depends on the input after various (could be more than one) time delays. We provide explicit forms of the finite horizon closed-loop optimal control laws. Numerical examples are also provided to show the performance of our derived control laws.

    Original languageEnglish (US)
    Title of host publicationProceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009
    Pages4050-4055
    Number of pages6
    DOIs
    StatePublished - Dec 1 2009
    Event48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009 - Shanghai, China
    Duration: Dec 15 2009Dec 18 2009

    Other

    Other48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009
    CountryChina
    CityShanghai
    Period12/15/0912/18/09

    Fingerprint

    Input Delay
    Multiple Delays
    Finite Horizon
    Time varying systems
    Discrete-time
    Delay Systems
    Closed-loop Control
    Time Delay
    Optimal Control
    Numerical Examples
    Time delay
    Model
    Form

    All Science Journal Classification (ASJC) codes

    • Control and Systems Engineering
    • Modeling and Simulation
    • Control and Optimization

    Cite this

    Zhou, J., & Wang, Q. (2009). Finite horizon linear quadratic regulation for linear discrete time-varying systems with single/multiple input delay(s). In Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009 (pp. 4050-4055). [5400563] https://doi.org/10.1109/CDC.2009.5400563
    Zhou, Jing ; Wang, Qian. / Finite horizon linear quadratic regulation for linear discrete time-varying systems with single/multiple input delay(s). Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009. 2009. pp. 4050-4055
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    title = "Finite horizon linear quadratic regulation for linear discrete time-varying systems with single/multiple input delay(s)",
    abstract = "This paper studies the linear quadratic regulation problem for linear discrete time-varying systems with one or multiple delays in control input. This type of input-delay system can be used to model delayed actuation, where the system depends on the input after various (could be more than one) time delays. We provide explicit forms of the finite horizon closed-loop optimal control laws. Numerical examples are also provided to show the performance of our derived control laws.",
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    Zhou, J & Wang, Q 2009, Finite horizon linear quadratic regulation for linear discrete time-varying systems with single/multiple input delay(s). in Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009., 5400563, pp. 4050-4055, 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009, Shanghai, China, 12/15/09. https://doi.org/10.1109/CDC.2009.5400563

    Finite horizon linear quadratic regulation for linear discrete time-varying systems with single/multiple input delay(s). / Zhou, Jing; Wang, Qian.

    Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009. 2009. p. 4050-4055 5400563.

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

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    AB - This paper studies the linear quadratic regulation problem for linear discrete time-varying systems with one or multiple delays in control input. This type of input-delay system can be used to model delayed actuation, where the system depends on the input after various (could be more than one) time delays. We provide explicit forms of the finite horizon closed-loop optimal control laws. Numerical examples are also provided to show the performance of our derived control laws.

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    Zhou J, Wang Q. Finite horizon linear quadratic regulation for linear discrete time-varying systems with single/multiple input delay(s). In Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009. 2009. p. 4050-4055. 5400563 https://doi.org/10.1109/CDC.2009.5400563