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Abstract <p>One of the most promising methods for synthesizing control devices applied in multidimensional high-order electric drive systems is modal control providing a given distribution of the roots of its characteristic equation in a closed control system, which correspond to the desired components (modes) of the free movement of the system. Expressions for calculating the coefficients of a modal controller in a vector-matrix form convenient for the synthesis of closed continuous high-order electric drive systems are defined. The expressions obtained for calculating the coefficients of the modal controller in vector-matrix form make it possible to synthesize closed continuous electric drive systems of a high order, while providing quality indicators of the electric drive control system close to the desired ones by reducing the calculation error.</p>

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The Equation of Synthesis of a Modal Controller in Vector-Matrix Form

  • 期刊论文

  • 发表日期：

    2025年6月1日

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  • A. N. Pakhomov,
  • A. V. Brazhnikov,
  • S. A. Vstovsky

摘要

Abstract

One of the most promising methods for synthesizing control devices applied in multidimensional high-order electric drive systems is modal control providing a given distribution of the roots of its characteristic equation in a closed control system, which correspond to the desired components (modes) of the free movement of the system. Expressions for calculating the coefficients of a modal controller in a vector-matrix form convenient for the synthesis of closed continuous high-order electric drive systems are defined. The expressions obtained for calculating the coefficients of the modal controller in vector-matrix form make it possible to synthesize closed continuous electric drive systems of a high order, while providing quality indicators of the electric drive control system close to the desired ones by reducing the calculation error.