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<p>We study the problem of construction of a control system used to realize periodic motion, according to a given harmonic law, of a “vessel–liquid mechanical system with free surface” in the presence of permanent disturbances (vibrations of the free surface of liquid). The algorithm of control over the system is based on the model of solid body with “solidified” liquid. The procedure of control with feedback is analytically constructed on the basis of the modal principle with preliminary reduction of the control system to the canonical Frobenius form. The results of numerical experiments confirm the efficiency of application of a linear system in disturbances as a model for the construction of a control system with feedback for a complicated nonlinear mechanical system.</p>

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Stabilization of Periodic Motions of a “Vessel–Liquid Mechanical System with Free Surface” Based on the Principle of Modal Control

  • 期刊论文

  • 发表日期：

    2025年1月1日

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  • Oleksandr Konstantinov,
  • Viktor Novytskyy

摘要

We study the problem of construction of a control system used to realize periodic motion, according to a given harmonic law, of a “vessel–liquid mechanical system with free surface” in the presence of permanent disturbances (vibrations of the free surface of liquid). The algorithm of control over the system is based on the model of solid body with “solidified” liquid. The procedure of control with feedback is analytically constructed on the basis of the modal principle with preliminary reduction of the control system to the canonical Frobenius form. The results of numerical experiments confirm the efficiency of application of a linear system in disturbances as a model for the construction of a control system with feedback for a complicated nonlinear mechanical system.