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Volume 11 Issue 2
April  2014
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Rihem Farkh, Kaouther Laabidi and Mekki Ksouri. Stabilizing Sets of PI/PID Controllers for Unstable Second Order Delay System. International Journal of Automation and Computing, vol. 11, no. 2, pp. 210-222, 2014. https://doi.org/10.1007/s11633-014-0783-8
Citation: Rihem Farkh, Kaouther Laabidi and Mekki Ksouri. Stabilizing Sets of PI/PID Controllers for Unstable Second Order Delay System. International Journal of Automation and Computing, vol. 11, no. 2, pp. 210-222, 2014. https://doi.org/10.1007/s11633-014-0783-8
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Stabilizing Sets of PI/PID Controllers for Unstable Second Order Delay System

doi: 10.1007/s11633-014-0783-8

  • Laboratory for Analysis, Conception and Control of Systems, LR-11-ES20, Department of Electrical Engineering, National Engineering School of Tunis, Tunis El Manar University, Tunisia

  • Received Date: 2013-01-13
  • Rev Recd Date: 2013-07-23
  • Publish Date: 2014-04-01
    Abstract
  • In this paper, the problem of stabilizing an unstable second order delay system using classical proportional-integral-derivative (PID) controller is considered. An extension of the Hermite-Biehler theorem, which is applicable to quasi-polynomials, is used to seek the set of complete stabilizing proportional-integral/proportional-integral-derivative (PI/PID) parameters. The range of admissible proportional gains is determined in closed form. For each proportional gain, the stabilizing set in the space of the integral and derivative gains is shown to be a triangle.

     

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