Next Article in Journal
Homotopy Analysis Method for a Fractional Order Equation with Dirichlet and Non-Local Integral Conditions
Next Article in Special Issue
Sufficient Criteria for the Absence of Global Solutions for an Inhomogeneous System of Fractional Differential Equations
Previous Article in Journal
Fractional Cauchy Problems for Infinite Interval Case-II
Previous Article in Special Issue
An Analytical Technique to Solve the System of Nonlinear Fractional Partial Differential Equations
Open AccessArticle

Simplified Fractional Order Controller Design Algorithm

Technical University of Cluj-Napoca, Faculty of Automation and Computer Science, Department of Automation, Memorandumului Str. 28, 400014 Cluj-Napoca, Romania
Physiological Controls Research Center, Óbuda University, H-1034 Budapest, Hungary
Mathematics 2019, 7(12), 1166;
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. View Full-Text
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
Show Figures

Figure 1

MDPI and ACS Style

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

AMA Style

Dulf E-H. Simplified Fractional Order Controller Design Algorithm. Mathematics. 2019; 7(12):1166.

Chicago/Turabian Style

Dulf, Eva-Henrietta. 2019. "Simplified Fractional Order Controller Design Algorithm" Mathematics 7, no. 12: 1166.

Find Other Styles
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

Search more from Scilit
Back to TopTop