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Journal of Applied Nonlinear Dynamics
Miguel A. F. Sanjuan (editor), Albert C.J. Luo (editor)
Miguel A. F. Sanjuan (editor)

Department of Physics, Universidad Rey Juan Carlos, 28933 Mostoles, Madrid, Spain


Albert C.J. Luo (editor)

Department of Mechanical and Industrial Engineering, Southern Illinois University Ed-wardsville, IL 62026-1805, USA

Fax: +1 618 650 2555 Email:

Advances in Fractional Order Controller Design and Applications

Journal of Environmental Accounting and Management 8(1) (2019) 1--3 | DOI:10.5890/JAND.2019.03.001

Cosmin Copot$^{1}$, Cristina I. Muresan$^{2}$, Konrad Andrzej Markowski$^{3}$

$^{1}$ Department of Electromechanics, Faculty of Applied Engineering, University of Antwerp, Op3Mech, Groenenborgerlaan 171, 2020 Antwerpen, Belgium

$^{2}$ Dept. of Automation, Faculty of Automation and Computer Science, Technical University of Cluj-Napoca, Memorandumului Street, no 28, 400114 Cluj-Napoca, Romania

$^{3}$ Institute of Control and Industrial Electronics, Faculty of Electrical Engineering, Warsaw University of Technology, Koszykowa 75, 00-662 Warsaw, Poland

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Fractional order differentiation is a generalization of classical integer differentiation to real or complex orders. In the last couple of decades, a more profound understating of fractional calculus, as well as the developments in computing technologies combined with the unique advantages of fractional order differ-integrals in capturing closely complex phenomena, lead to ongoing research regarding fractional calculus and to an increasing interest towards using fractional calculus as an optimal tool to describe the dynamics of complex systems and to enhance the performance and robustness of control systems. The research community has managed to bring forward ideas and concepts that justify the importance of fractional calculus for future engineering and science discoveries. Since the emergence of the CRONE controllers and the generalization of the classical PID controller, many researchers have focused on the design problem of fractional order controllers, the optimal tuning, the possible extensions of fractional calculus in advanced control strategies, the problems regarding their implementation, and so on. There are still many issues and open problems left unattended in this area. This special issue aims at presenting some recent developments in the field of fractional order controllers, in order to further raise the interest regarding the increasing tendency of adopting fractional calculus in applications related to modeling and design of control systems.


  1. [1]  Deniz, F.N., YĆ¼ce, A., and Tan, N. (2019), Tuning of PI-PD Controller Based on Standard Forms for Fractional Order Systems, Journal of Applied Nonlinear Dynamics, 8(1), 5-21.
  2. [2]  Kuroda, M. and Matsubuchi, H. (2019), Active Wave Control of a Flexible Beam Using Fractional Derivative Feedback, Journal of Applied Nonlinear Dynamics, 8(1), 23-33.
  3. [3]  Joshi, M.M. and Vyawahare, V.A. (2019), Constrained Model Predictive Control for Linear Fractional-order Systems with Rational Approximation, Journal of Applied Nonlinear Dynamics, 8(1), 35-53.
  4. [4]  Copot, C. (2019), An application to robot manipulator joint control by using fractional order approach, Journal of Applied Nonlinear Dynamics, 8(1), 55-66.
  5. [5]  Copot, D. and Ionescu, C. (2019), A fractional order controller for delay dominant systems. Application to a continuous casting line, Journal of Applied Nonlinear Dynamics, 8(1), 67-78.
  6. [6]  Bouvin, J.L., Moreau, X., Benine-Neto, A., and Hernette, V. (2019), Alain Oustaloup, Pascal Serrier, CRONE body control with a pneumatic self-leveling suspension system, Journal of Applied Nonlinear Dynamics, 8(1), 79-95.
  7. [7]  Markowski, K.A. and Hryniow, K. (2019), Method for finding a set of (A, B, C, D) realizations for Single- Input Multiple-Output / Multiple-Input Single-Output one-dimensional continuous-time fractional systems, Journal of Applied Nonlinear Dynamics, 8(1), 97-108.