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Design of dynamic suboptimal low-order controllers on basis of the H∞-criterion

  • Adaptive and Robust Systems
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Abstract

A design problem of dynamic reduced-dimension controllers according to the boundedness condition of the H∞-norm of a transfer matrix of a closed system is studied. The problem of controller deflation is related to the solution to degenerate filtering problems (no noise of measuring) and to degenerate control problems (no control in a manipulated output). It was demonstrated that these problems can be solved on basis of the modified 2-Riccati approach, in which the “filtrating” (for a singular filtrating problem) or the “control” (for a singular control problem) Lurie-Riccati equations have a low order. An example of an optimal reduced-dimension controller design is given that illustrates the obtained results.

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  1. Institute of Problems in Precision Mechanics and Controls, Russian Academy of Sciences, Saratov, Russia

    Yu. V. Sadomtsev

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  1. Yu. V. Sadomtsev
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Original Russian Text © Yu.V. Sadomtsev, 2006, published in Avtomatika i Telemekhanika, 2006, No. 12, pp. 175–189.

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Sadomtsev, Y.V. Design of dynamic suboptimal low-order controllers on basis of the H∞-criterion. Autom Remote Control 67, 2021–2035 (2006). https://doi.org/10.1134/S0005117906120149

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  • DOI: https://doi.org/10.1134/S0005117906120149

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