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Linear control design under phase constraints

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Abstract

A new design method is proposed for linear stabilizing controllers which satisfy the given constraints on the phase variables and control input and minimize the upper bound on the maximum deviation of the plant output. The method is based on the apparatus of linear matrix inequalities; the theory is exemplified via the linear shock absorber design.

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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, 2009, published in Avtomatika i Telemekhanika, 2009, No. 6, pp. 48–57.

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

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Balandin, D.V., Kogan, M.M. Linear control design under phase constraints. Autom Remote Control 70, 958–966 (2009). https://doi.org/10.1134/S0005117909060046

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