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PID controllers of some two-mass system and the double complex pairs

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Abstract

Under study is the stability of a single-channel two-mass system that is controlled by a proportional-integral-derivative (PID) controller. The controlling force is applied only to one of the masses, and the output is the deviation of this mass. It is shown that among the PID controllers the maximum degree of stability is provided by the controllers with the following property: There is a double complex pair on the right vertical of the characteristic polynomial.

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Authors and Affiliations

  1. Sobolev Institute of Mathematics, pr. Akad. Koptyuga 4, Novosibirsk, 630090, Russia

    A. N. Koryukin

  2. Novosibirsk State Technical University, pr. K. Marksa 20, Novosibirsk, 630073, Russia

    A. A. Voevoda

Authors
  1. A. N. Koryukin
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  2. A. A. Voevoda
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Correspondence to A. N. Koryukin.

Additional information

Original Russian Text © A.N. Koryukin, A.A. Voevoda, 2015, published in Sibirskii Zhurnal Industrial’noi Matematiki, 2015, Vol. XVIII, No. 1, pp. 56–68.

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Koryukin, A.N., Voevoda, A.A. PID controllers of some two-mass system and the double complex pairs. J. Appl. Ind. Math. 9, 215–226 (2015). https://doi.org/10.1134/S1990478915020076

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  • DOI: https://doi.org/10.1134/S1990478915020076

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