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Stabilization by a Measurable Output and Estimation of the Level of Attenuation for Perturbations in Control Systems

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We establish new criteria for the output stabilization in linear control systems with the help of static and dynamic regulators. It is shown that the stabilization algorithms derived from these criteria can be applied to a certain class of nonlinear control systems. We propose some algorithms for the construction of the regularities of control guaranteeing the required estimates of the weighted level of attenuation of input signals. The obtained results are illustrated by an example of a system stabilizing a one-link robot-manipulator.

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian National Academy of Sciences, Tereshchenkovskaya Str., 3, Kiev, 01601, Ukraine

    A. G. Mazko & S. N. Kusii

Authors
  1. A. G. Mazko
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  2. S. N. Kusii
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Correspondence to A. G. Mazko.

Additional information

Translated from Neliniini Kolyvannya, Vol. 18, No. 3, pp. 373–387, July–September, 2015.

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Mazko, A.G., Kusii, S.N. Stabilization by a Measurable Output and Estimation of the Level of Attenuation for Perturbations in Control Systems. J Math Sci 220, 318–333 (2017). https://doi.org/10.1007/s10958-016-3186-2

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  • DOI: https://doi.org/10.1007/s10958-016-3186-2

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