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Indirect sampled-data control with sampling period adaptation


Reference:

Ilchmann, A., Ke, Z. Q. and Logemann, H., 2011. Indirect sampled-data control with sampling period adaptation. International Journal of Control, 84 (2), pp. 424-431.

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    Official URL:

    http://dx.doi.org/10.1080/00207179.2011.557782

    Abstract

    It is known that if a continuous-time feedback system is exponentially stable, then the corresponding sampled-data system obtained by sample-hold discretisation with constant sampling period is also exponentially stable, provided that the sampling period tau > 0 is sufficiently small. In general, it is difficult to estimate how small the sampling period has to be in order to achieve the stability of the sampled-data system. In this article, we present an adaptive mechanism for adjusting the sampling period. This mechanism has the properties that, for every initial state, (i) the adaptation of the sampling period terminates after finitely many time steps and (ii) the state of the adaptive sampled-data system is integrable and converges to zero as time goes to infinity.

    Details

    Item Type Articles
    CreatorsIlchmann, A., Ke, Z. Q. and Logemann, H.
    DOI10.1080/00207179.2011.557782
    Uncontrolled Keywordsfeedback stabilisation, adaptive control, variable sampling period, indirect sampled-data control
    DepartmentsFaculty of Science > Mathematical Sciences
    Publisher StatementLogemann_IJC_2011_84_2_424.pdf: This is an electronic version of an article published in Ilchmann, A., Ke, Z. Q. and Logemann, H., 2011. Indirect sampled-data control with sampling period adaptation. International Journal of Control, 84 (2), pp. 424-431. International Journal of Control is available online at http://dx.doi.org/10.1080/00207179.2011.557782
    RefereedYes
    StatusPublished
    ID Code23290

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