This article is cited in 3 papers

PID controllers of a two-mass system and complex pairs of multiplicity 2

A. N. Koryukin^a, A. A. Voevoda<sup>b

a</sup> Sobolev Institute of Mathematics SB RAS, 4 Koptyug av., 630090 Novosibirsk
^b Novosibirsk State Technical University, 20 Karl Marx av., 630073 Novosibirsk

Abstract: We study the stability of a one-channel two-mass system controlled by a proportional integral differential (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 PID controllers, the greatest stability is provided by the regulators for which the right vertical of the roots of the characterisitc polynomial contains a complex pair of multiplicity 2.

Keywords: modal synthesis, lowered-order regulator, greatest stability degree, maximum stability degree, limit stability degree.

UDC: 681.511.2

Received: 16.03.2014

DOI: 10.17377/sibjim.2015.18.105

 English version: Journal of Applied and Industrial Mathematics, 2015, 9:2, 215–226

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