Fractional Order Controllers Versus Integer Order Controllers

Abstract Most industrial applications are using classical, integer order type PID controllers due to the widely known characteristics such as: simplicity, the existence of tuning methods based on process model and the provided robustness performances. However, in recent years, academic and industrial world's attention has been focused on fractional order PID controllers. This paper presents the general approach of the calculation and the fractional order systems as they are documented in the literature, and the transfer functions for the fractional order PID controllers. In simulation experiments, conducted in Matlab, processes described by the first-order transfer functions and dead time, classical and fractional order PID controllers obtained by Zeigler-Nichols tuning method were considered.

[1]  Eduard Petlenkov,et al.  FOMCOM: a MATLAB toolbox for fractional-order system identification and control , 2011 .

[2]  Eduard Petlenkov,et al.  Closed-loop identification of fractional-order models using FOMCON toolbox for MATLAB , 2014, 2014 14th Biennial Baltic Electronic Conference (BEC).

[3]  Ladislav Pivka,et al.  Design of the fractional-order PIλDµ controllers based on the optimization with self-organizing migrating algorithm , 2007 .

[4]  YangQuan Chen,et al.  Fractional-order systems and control : fundamentals and applications , 2010 .

[5]  YangQuan Chen,et al.  Fractional order control - A tutorial , 2009, 2009 American Control Conference.

[6]  Antonio Visioli,et al.  Tuning rules for optimal PID and fractional-order PID controllers , 2011 .

[7]  Abbas Nemati,et al.  On Fractional-Order PID Design , 2011 .

[8]  YangQuan Chen,et al.  Fractional-order Systems and Controls , 2010 .

[9]  Duarte Valério,et al.  Tuning of fractional PID controllers with Ziegler-Nichols-type rules , 2006, Signal Process..

[10]  Amit Konar,et al.  Design of a Fractional Order PID Controller Using Particle Swarm Optimization Technique , 2008, ArXiv.

[11]  Saptarshi Das,et al.  Fractional Order Signal Processing: Introductory Concepts and Applications , 2011 .

[12]  Alain Oustaloup,et al.  Frequency-band complex noninteger differentiator: characterization and synthesis , 2000 .

[13]  Juraj Valsa,et al.  Analogue Realization of Fractional-Order Dynamical Systems , 2013, Entropy.

[14]  Saptarshi Das,et al.  Basics of Fractional Order Signals and Systems , 2012 .

[15]  Dominik Sierociuk,et al.  Some applications of fractional order calculus , 2010 .