Practical Aspects of Tuning and Implementation of Fractional-Order Controllers

This paper presents practical aspects of tuning and implementation of Fractional-Order Controllers (FOC). In the article are presented tuning, auto-tuning and self-tuning methods for the FOC. As the FOC are considered fractional PID controllers, the CRONE controller and fractional-order lead-lag compensators. As implementation techniques are described the FIR and FIRforms of approximation methods, which can be easily implemented in microprocessor devices such as for example the PLC, IPC, etc. The possibility for analogue implementation of such kind of controllers is also mentioned. An example of practical implementation of the FOC together with all problems and restrictions is shown as well.Copyright © 2011 by ASME

[1]  YangQuan Chen,et al.  Fractional-order [proportional derivative] controller for robust motion control: Tuning procedure and validation , 2009, 2009 American Control Conference.

[2]  YangQuan Chen,et al.  UBIQUITOUS FRACTIONAL ORDER CONTROLS , 2006 .

[3]  Anissa Zergaïnoh-Mokraoui,et al.  State-space representation for fractional order controllers , 2000, Autom..

[4]  S. Manabe.  The non-integer integral and its application to control systems. , 1961 .

[5]  Mohieddine Jelali,et al.  An overview of control performance assessment technology and industrial applications , 2006 .

[6]  Duarte Valério,et al.  TUNING-RULES FOR FRACTIONAL PID CONTROLLERS , 2006 .

[7]  Patrick Lanusse,et al.  PLC implementation of a crone controller , 2010 .

[8]  Y. Q. Chen,et al.  Using Fractional Order Adjustment Rules and Fractional Order Reference Models in Model-Reference Adaptive Control , 2002 .

[9]  YangQuan Chen,et al.  Tuning and auto-tuning of fractional order controllers for industry applications , 2008 .

[10]  I. Petras,et al.  The fractional - order controllers: Methods for their synthesis and application , 2000, math/0004064.

[11]  R. Magin.  Fractional Calculus in Bioengineering , 2006 .

[12]  Naresh K. Sinha,et al.  Modern Control Systems , 1981, IEEE Transactions on Systems, Man, and Cybernetics.

[13]  B. Vinagre.  Practical application of digital fractional-order controller to temperature control , 2002 .

[14]  L. Dorcak,et al.  Two digital realizations of fractional controllers: Application to temperature control of a solid , 2001, 2001 European Control Conference (ECC).

[15]  A. J. Calderón,et al.  Fractional PID Controllers for Industry Application. A Brief Introduction , 2007 .

[16]  José António Tenreiro Machado,et al.  Time domain design of fractional differintegrators using least-squares , 2006, Signal Process..

[17]  Concepción A. Monje,et al.  Fully Automated Tuning and Implementation of Fractional PID Controllers , 2009 .

[18]  I. Petras,et al.  Design of Fractional-Order Controllers via H∞ Norm Minimisation , 2000 .

[19]  J. A. Tenreiro Machado,et al.  Tuning and Application of Integer and Fractional Order PID Controllers , 2009 .

[20]  Yangquan Chen,et al.  Two direct Tustin discretization methods for fractional-order differentiator/integrator , 2003, J. Frankl. Inst..

[21]  I. Podlubny.  Fractional differential equations , 1998 .

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