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Design of robust stable controls for nonlinear objects

  • Adaptive and Robust Systems
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Abstract

We consider a problem of discrete control for a class of nonlinear time-varying objects. Only set estimations for object parameters are available. The aim is to design controls that ensure robust stability of closed-loop systems in a given domain of state space. Since the considered class of objects is large enough not to have a stabilizing control, the proposed design method has to verify at the last step if the obtained conditions of robust stability are satisfied for a nonlinear system “in a given domain.”

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Authors and Affiliations

  1. Institute of Space Research, National Academy of Sciences and National Space Agency, Kiev, Ukraine

    V. M. Kuntsevich

  2. V.M. Glushkov Institute of Cybernetics, National Academy of Sciences, Kiev, Ukraine

    A. V. Kuntsevich

Authors
  1. V. M. Kuntsevich
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  2. A. V. Kuntsevich
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Additional information

Original Russian Text © V.M. Kuntsevich, A.V. Kuntsevich, 2008, published in Avtomatika i Telemekhanika, 2008, No. 12, pp. 105–118.

The work is carried out in the frame of the joint project of the National Academy of Science of Ukraine and Russian Foundation for Basic Researches, 2008. It is financially supported by the National Academy of Science of Ukraine (Resolution no. 104 of 02.04.2008, project no. 2).

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Kuntsevich, V.M., Kuntsevich, A.V. Design of robust stable controls for nonlinear objects. Autom Remote Control 69, 2088–2100 (2008). https://doi.org/10.1134/S0005117908120072

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