Admissible Range of Proportional Gain in Stabilizing PID Region

Yu Dong

doi:10.4028/www.scientific.net/AMM.530-531.1068

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 530-531Admissible Range of Proportional Gain in...

Admissible Range of Proportional Gain in Stabilizing PID Region

Abstract:

This paper considers the problem of stabilizing linear time-invariant plants by a PID controller. If the proportional gain reaches the extreme value, the closed-loop system contains a double pole on the imaginary axis. Using this property, the admissible range of the proportional gain is derived, also the corresponding integral gain and derivative gain are obtained. If the proportional gain is fixed, the stability region in the plane with respect to the integral gain and the derivative gain is determined by plotting the stability boundary locus. The effectiveness of the method presented is illustrated by several examples.

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Periodical:

Applied Mechanics and Materials (Volumes 530-531)

Pages:

1068-1077

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.530-531.1068

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Online since:

February 2014

Authors:

Yu Dong*

Keywords:

Double Pole, PID Control, Stabilization

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* - Corresponding Author

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