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Parametrization of sets of stabilizing controllers in mechanical systems

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International Applied Mechanics Aims and scope

Abstract

Procedures to parametrize a set of stabilizing controllers are reviewed. These procedures are the key ones in the frequency-domain synthesis of the optimal (minimum H 2-and H ∞-norms) controller or filter for a linear stationary system. A relationship between the parametrization procedures proposed by different authors is shown. Examples of parametrization procedures in synthesis problems (delay problems, multichannel filtering problems, etc.) are given

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Authors and Affiliations

  1. Scientific Research Institute of Applied Mathematics, Baku State University, Baku, Azerbaijan

    F. A. Aliev

  2. S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kyiv, Ukraine

    V. B. Larin

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  1. F. A. Aliev
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  2. V. B. Larin
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Translated from Prikladnaya Mekhanika, Vol. 44, No. 6, pp. 3–27, June 2008.

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Aliev, F.A., Larin, V.B. Parametrization of sets of stabilizing controllers in mechanical systems. Int Appl Mech 44, 599–618 (2008). https://doi.org/10.1007/s10778-008-0085-3

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