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Linear-quadratic and γ-optimal output control laws

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Abstract

The problem of linear-quadratic control in the class of linear dynamic output controllers was solved, and the necessary and sufficient conditions for existence of the optimal controllers were formulated in terms of the linear matrix inequalities. The parameters of such controllers were proved to depend on the plant initial conditions, and the optimal controllers were shown to be unrealizable under certain initial conditions. The results of numerical comparison of the linear-quadratic and γ-optimal controllers were presented.

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Authors and Affiliations

  1. Lobachevskii State University, Nizhni Novgorod, Russia

    D. V. Balandin

  2. Nizhni Novgorod University of Architecture and Civil Engineering, Nizhni Novgorod, Russia

    M. M. Kogan

Authors
  1. D. V. Balandin
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  2. M. M. Kogan
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Additional information

Original Russian Text © D.V. Balandin, M.M. Kogan, 2008, published in Avtomatika i Telemekhanika, 2008, No. 6, pp. 5–14.

This work was supported by the Russian Foundation for Basic Research, projects nos. 07-01-00481, 08-01-00422 and 08-01-97034r_povolzh’e.

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Balandin, D.V., Kogan, M.M. Linear-quadratic and γ-optimal output control laws. Autom Remote Control 69, 911–919 (2008). https://doi.org/10.1134/S0005117908060027

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  • DOI: https://doi.org/10.1134/S0005117908060027

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