Skip to main content
main-content
Top

Hint

Swipe to navigate through the articles of this issue

09-03-2020 | Research Article-Electrical Engineering | Issue 8/2020

Arabian Journal for Science and Engineering 8/2020

Real-Time Implementation of a Stable 2 DOF PID Controller for Unstable Second-Order Magnetic Levitation System with Time Delay

Journal:
Arabian Journal for Science and Engineering > Issue 8/2020
Authors:
D. S. Acharya, S. K. Swain, S. K. Mishra

Abstract

The design of a two degree of freedom (DOF) proportional–integral–derivative (PID) controller is proposed in this paper to stabilize an unstable second-order plant having time delay. The lower and upper bounds of the controller gains for which the compensated system will exhibit a stable response, is determined using Hermite–Biehler theorem. In order to determine the bounds of the controller gains, this work proposes an extension of the Hermite–Biehler theorem, suitable for the transfer function of the maglev plant, which contains a negative dc-gain and a missing ‘s’ term in the denominator polynomial. The optimal values of the controller gains, from the range thus estimated, are found by a recent bio-inspired algorithm, namely symbiotic organisms search (SOS). The obtained results have been experimentally verified, and it has been validated that the 2-DOF PID controller exhibits better response. The robustness of the compensated system for 1-DOF and 2-DOF configurations, in the presence of external disturbance and measurement noise, has also been validated in real time, and it is observed that the 2-DOF PID controller improves the robustness of the system, as compared to its 1-DOF counterpart.

Please log in to get access to this content

To get access to this content you need the following product:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 69.000 Bücher
  • über 500 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Umwelt
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Testen Sie jetzt 30 Tage kostenlos.

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 50.000 Bücher
  • über 380 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Umwelt
  • Maschinenbau + Werkstoffe




Testen Sie jetzt 30 Tage kostenlos.

Literature
About this article

Other articles of this Issue 8/2020

Arabian Journal for Science and Engineering 8/2020 Go to the issue

Research Article-Computer Engineering and Computer Science

An Ontology-Based Security Risk Management Model for Information Systems

Research Article-Computer Engineering and Computer Science

Chaotic Atom Search Optimization for Feature Selection

Premium Partners

    Image Credits