Gain scheduled output feedback control of discrete-time networked systems

Masahiro Tai, Kenko Uchida

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

    3 Citations (Scopus)

    Abstract

    This paper discusses the H control synthesis for discrete-time linear networked systems with time-varying delays in input and output channels. The time-varying delays are assumed to take their values in finite sets, and assumed to be measurable only on line. Our formulation allows the (worst) case of random delays with no stochastic assumption. Considering delays as parameters, we first reformulate the ℋ control problem for networked systems with time-varying delays into that for linear parameter-varying (LPV) systems with jumping parameters. Next, we present a sufficient condition, which is given as a finite set of linear matrix inequalities (LMIs) depending on values of parameters, for synthesizing a gain scheduled output feedback control for LPV systems with jumping parameters, and based on this condition, derive an output feedback controller scheduled with input-output delays. Finally, applying our controller to the networked system composed of the cart and inverted pendulum plant and the input-output channels with random jumping delays, we show that our controller, which does not assume any stochastic property on delays, displays a good performance almost similar to that of the existing stochastic ℋ controller.

    Original languageEnglish
    Title of host publicationProceedings of the IEEE International Conference on Control Applications
    Pages59-64
    Number of pages6
    DOIs
    Publication statusPublished - 2007
    Event16th IEEE International Conference on Control Applications, CCA 2007. Part of IEEE Multi-conference on Systems and Control -
    Duration: 2007 Oct 12007 Oct 3

    Other

    Other16th IEEE International Conference on Control Applications, CCA 2007. Part of IEEE Multi-conference on Systems and Control
    Period07/10/107/10/3

    Fingerprint

    Feedback control
    Controllers
    Pendulums
    Linear matrix inequalities
    Feedback

    ASJC Scopus subject areas

    • Engineering(all)

    Cite this

    Tai, M., & Uchida, K. (2007). Gain scheduled output feedback control of discrete-time networked systems. In Proceedings of the IEEE International Conference on Control Applications (pp. 59-64). [4389206] https://doi.org/10.1109/CCA.2007.4389206

    Gain scheduled output feedback control of discrete-time networked systems. / Tai, Masahiro; Uchida, Kenko.

    Proceedings of the IEEE International Conference on Control Applications. 2007. p. 59-64 4389206.

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

    Tai, M & Uchida, K 2007, Gain scheduled output feedback control of discrete-time networked systems. in Proceedings of the IEEE International Conference on Control Applications., 4389206, pp. 59-64, 16th IEEE International Conference on Control Applications, CCA 2007. Part of IEEE Multi-conference on Systems and Control, 07/10/1. https://doi.org/10.1109/CCA.2007.4389206
    Tai M, Uchida K. Gain scheduled output feedback control of discrete-time networked systems. In Proceedings of the IEEE International Conference on Control Applications. 2007. p. 59-64. 4389206 https://doi.org/10.1109/CCA.2007.4389206
    Tai, Masahiro ; Uchida, Kenko. / Gain scheduled output feedback control of discrete-time networked systems. Proceedings of the IEEE International Conference on Control Applications. 2007. pp. 59-64
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