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Time-Optimal Turning of a Spring Pendulum

  • OPTIMAL CONTROL
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Journal of Computer and Systems Sciences International Aims and scope

Abstract

We consider the problem of the time-optimal turning of a system with two degrees of freedom in the form of a material point on a spring oscillating along a rigid weightless rod that rotates in a horizontal plane. The external control moment is applied to the axis of rotation of the rod and is limited in absolute value; and there is no friction. The problem of the fastest turning of the rod through the given angle from a state of rest with oscillation damping is solved. A feature of a nonlinear system is that its linearized model (in the vicinity of the state of rest) is not controllable.

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  1. Omsk State Pedagogical University, Tara Branch, 646535, Tara, Russia

    O. R. Kayumov

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  1. O. R. Kayumov
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Correspondence to O. R. Kayumov.

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Kayumov, O.R. Time-Optimal Turning of a Spring Pendulum. J. Comput. Syst. Sci. Int. 62, 652–665 (2023). https://doi.org/10.1134/S1064230723040081

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  • DOI: https://doi.org/10.1134/S1064230723040081

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