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A new way to stabilize discrete-time plants under compact uncertainty

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Dynamics and Control

Abstract

A method is proposed for stabilization of uncertain discrete-time plants of which only compact sets are known to which plant parameters and exogenous perturbations belong. The parametric family of feedbacks is quantified and subsequently a stabilizing feedback is localized on the resultant finite discrete set by using on-line measurements of the state path. This method is termed locatization. Its salient features are quantification and the localization algorithm. Three localization procedures are described which are used under various assumptions on the form of the uncertainty. Solvability conditions are provided for the stabilization problem and estimates of transient processes are reported.

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Authors and Affiliations

  1. International Research Institute for Management Sciences (IRIMS), 9 Prospekt 60-let Oktyabrya, 117312, Moscow, Russia

    S. V. Emelyanov

  2. The Institute of Automation, Academy of Sciences of the Kirghiz, 265-a, Leninski Prospekt, 720071, Bishkek (Frunze), Kirghizia, Russia

    P. V. Zhivoglyadov

  3. School of Computer Sciences and Control Engineering, Moscow University, Lenin Hills, 119899, Moscow, Russia

    S. K. Korovin

Authors
  1. S. V. Emelyanov
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  2. P. V. Zhivoglyadov
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  3. S. K. Korovin
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Emelyanov, S.V., Zhivoglyadov, P.V. & Korovin, S.K. A new way to stabilize discrete-time plants under compact uncertainty. Dynamics and Control 4, 255–275 (1994). https://doi.org/10.1007/BF01985074

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  • DOI: https://doi.org/10.1007/BF01985074

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