On stabilizing with PID controllers

Date
2007-06
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2007 Mediterranean Conference on Control and Automation, MED
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IEEE
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Pages
1 - 4
Language
English
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Abstract

In this paper we give an algorithm that determines the set of all stabilizing proportional-integral-derivative (PID) controllers that places the poles of the closed loop system in a desired stability region S. The algorithm is applicable to linear, time invariant, single-input single-output plants. The solution is based on a generalization of the Hermite-Biehler theorem applicable to polynomials with complex coefficients and the the application of a stabilizing gain algorithm to three auxiliary plants. ©2007 IEEE.

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