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Open AccessArticle

Simplified Fractional Order Controller Design Algorithm

1
Technical University of Cluj-Napoca, Faculty of Automation and Computer Science, Department of Automation, Memorandumului Str. 28, 400014 Cluj-Napoca, Romania
2
Physiological Controls Research Center, Óbuda University, H-1034 Budapest, Hungary
Mathematics 2019, 7(12), 1166; https://doi.org/10.3390/math7121166
Received: 21 August 2019 / Revised: 28 October 2019 / Accepted: 20 November 2019 / Published: 2 December 2019
Classical fractional order controller tuning techniques usually establish the parameters of the controller by solving a system of nonlinear equations resulted from the frequency domain specifications like phase margin, gain crossover frequency, iso-damping property, robustness to uncertainty, etc. In the present paper a novel fractional order generalized optimum method for controller design using frequency domain is presented. The tuning rules are inspired from the symmetrical optimum principles of Kessler. In the first part of the paper are presented the generalized tuning rules of this method. Introducing the fractional order, one more degree of freedom is obtained in design, offering solution for practically any desired closed-loop performance measures. The proposed method has the advantage that takes into account both robustness aspects and desired closed-loop characteristics, using simple tuning-friendly equations. It can be applied to a wide range of process models, from integer order models to fractional order models. Simulation results are given to highlight these advantages.
Keywords: fractional order controller design method; performance optimization; robust control system; symmetrical optimum principle fractional order controller design method; performance optimization; robust control system; symmetrical optimum principle
MDPI and ACS Style

Dulf, E.-H. Simplified Fractional Order Controller Design Algorithm. Mathematics 2019, 7, 1166.

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