Admissible Range of Proportional Gain in Stabilizing PID Region
2014 ◽
Vol 530-531
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pp. 1068-1077
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Keyword(s):
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.
2011 ◽
Vol 62
(1)
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pp. 44-48
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2013 ◽
Keyword(s):
2005 ◽
Vol 50
(3)
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pp. 393-397
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2012 ◽
Vol 22
(3)
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pp. 539-550
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2015 ◽
Vol 9
(16)
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pp. 2357-2368
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Keyword(s):
2005 ◽
Vol 11
(1)
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pp. 89-102
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Keyword(s):
2018 ◽
Vol 41
(3)
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pp. 687-695
2016 ◽
Vol 139
(1)
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Keyword(s):
2018 ◽
Vol 8
(2)
◽
pp. 237-249