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Synthesis of discrete H ∞-controllers with given stability margin radius and settling time

  • Robust and Adaptive Systems
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Abstract

For linear multivariable systems, we construct discrete output controllers that guarantee a given stability margin radius on the input or output of a control plant. Besides, given control time is also taken into account. We show that solving such problems reduces to a certain specially constructed standard H ∞-optimization problem. A numerical solution has been implemented in MATLAB with the Robust Control Toolbox suite based on the method of linear matrix inequalities (LMI).

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Authors and Affiliations

  1. Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia

    V. N. Chestnov

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  1. V. N. Chestnov
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Correspondence to V. N. Chestnov.

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Original Russian Text © V.N. Chestnov, 2014, published in Avtomatika i Telemekhanika, 2014, No. 9, pp. 65–82.

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Chestnov, V.N. Synthesis of discrete H ∞-controllers with given stability margin radius and settling time. Autom Remote Control 75, 1593–1607 (2014). https://doi.org/10.1134/S0005117914090057

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