A flexible MATLAB tool for optimal fractional-order PID controller design subject to specifications

In this paper, we present a flexible optimization tool suitable for fractional-order PID controller design with respect to given design specifications. Fractional-order controllers are based on the rapidly evolving scientific field called fractional-order calculus. Its concepts are applicable in solving many scientific and engineering problems, including robust control system design. The fractional PID is a natural evolution of the conventional PID controller and as such new tuning strategies are now possible due to enhanced accuracy of the fractional-order models. The presented tool, which is a part of FOMCON - a MATLAB fractional-order calculus oriented toolbox, - uses numerical optimization methods to carry out the tuning and obtain a controller for a chosen plant to be controlled, which can either be a fractional-order plant or an integer-order plant.

[1]  I. Podlubny,et al.  On Fractional Derivatives, Fractional-Order Dynamic Systems and PIW-controllers , 1997 .

[2]  I. Podlubny.  Fractional-order systems and PIλDμ-controllers , 1999, IEEE Trans. Autom. Control..

[3]  Y. Chen,et al.  A fractional order PID tuning algorithm for a class of fractional order plants , 2005, IEEE International Conference Mechatronics and Automation, 2005.

[4]  Y. Chen,et al.  A comparative introduction of four fractional order controllers , 2002, Proceedings of the 4th World Congress on Intelligent Control and Automation (Cat. No.02EX527).

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

[6]  H. Srivastava,et al.  Theory and Applications of Fractional Differential Equations , 2006 .

[7]  K. Miller,et al.  An Introduction to the Fractional Calculus and Fractional Differential Equations , 1993 .

[8]  Alain Oustaloup,et al.  The CRONE toolbox for Matlab , 2000, CACSD. Conference Proceedings. IEEE International Symposium on Computer-Aided Control System Design (Cat. No.00TH8537).

[9]  I. Podlubny,et al.  On fractional derivatives, fractional-order dynamic systems and PI/sup /spl lambda//D/sup /spl mu//-controllers , 1997, Proceedings of the 36th IEEE Conference on Decision and Control.

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

[11]  Igor Podlubny,et al.  Fractional-order systems and PI/sup /spl lambda//D/sup /spl mu//-controllers , 1999 .

[12]  YangQuan Chen,et al.  Linear Feedback Control: Analysis and Design with MATLAB , 2008 .

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

[14]  W. Marsden.  I and J , 2012 .

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

[16]  Ivo Petráš,et al.  Fractional Order ControlA Tutorial , 2009 .

[17]  Eduard Petlenkov,et al.  FOMCON: Fractional-order modeling and control toolbox for MATLAB , 2011, Proceedings of the 18th International Conference Mixed Design of Integrated Circuits and Systems - MIXDES 2011.

[18]  Tore Hägglund,et al.  Advanced PID Control , 2005 .