Title: Tuning of robust FO[PI] plus fractional lead controller for integrating time-delay systems

Authors: S.S. Bhase; M.J. Lengare; B.M. Patre

Addresses: Department of Instrumentation Engineering, Konkan Gyanpeeth College of Engineering, Karjat – 410201, India ' Department of Instrumentation Engineering, Konkan Gyanpeeth College of Engineering, Karjat – 410201, India ' Department of Instrumentation Engineering, Shri Guru Gobind Singhji Institute of Engineering and Technology, Vishnupuri, Nanded – 431606, India

Abstract: This paper presents the design of a robust fractional-order controller consisting of FO[PI] controller and fractional lead compensator, for the generalised, known and minimum-phase integrating time-delay plants. The fractional-order controller is designed to satisfy design specifications of phase margin, gain crossover frequency and flat phase constraint. Using Bode's integral relationship, a FO[PI] controller is designed to satisfy the flat phase constraint which ensure that phase bode plot of the compensated system is flat at gain crossover frequency. Then, the design of fractional lead compensator is done to satisfy design specifications of phase margin and gain crossover frequency. The simulation results illustrate the effectiveness and simplicity of presented method for robust controller design with an iso-damping property.

Keywords: flat phase constraint; iso-damping; fractional lead compensator; robust control; fractional order control; controller tuning; time delay; controller design; phase margin; gain crossover frequency; simulation.

DOI: 10.1504/IJAAC.2015.070959

International Journal of Automation and Control, 2015 Vol.9 No.3, pp.247 - 260

Received: 22 Dec 2014
Accepted: 25 May 2015

Published online: 03 Aug 2015 *

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