Investigation of fractional control performance for magnetic levitation experimental set-up

Magnetic levitation (Maglev) is a typical benchmark problem in control engineering which falls in the class of unstable systems. Fractional calculus based control is a recently emerged research area which investigates superior performance of fractional controllers over existing integer order controllers. This paper presents application of fractional control for Maglev experimental set-up to test its possible betterness. The controller is tuned for minimizing various performance indices such as IAE, ISE, ITAE, and MCE. The results with the designed controller are discussed in detail for the simulated and real plant cases.

[1]  Eronini I. Umez-Eronini System Dynamics and Control , 1998 .

[2]  Norbert C. Cheung,et al.  Design and simulation of a testing fixture for planar magnetic levitation system control using Switched Reluctance actuator , 2009, 2009 3rd International Conference on Power Electronics Systems and Applications (PESA).

[3]  Ying Luo,et al.  An analytical design of Fractional Order Proportional Integral and [Proportional Integral] controllers for robust velocity servo , 2009, 2009 4th IEEE Conference on Industrial Electronics and Applications.

[4]  Ying Luo,et al.  Fractional order proportional integral (FOPI) and [proportional integral] (FO[PI]) controller designs for first order plus time delay (FOPTD) systems , 2009, 2009 Chinese Control and Decision Conference.

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

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

[7]  K. B. Oldham,et al.  The Fractional Calculus: Theory and Applications of Differentiation and Integration to Arbitrary Order , 1974 .

[8]  Yangquan Chen,et al.  A Fractional Order Proportional and Derivative (FOPD) Motion Controller: Tuning Rule and Experiments , 2010, IEEE Transactions on Control Systems Technology.

[9]  M.B. Naumovic Modeling of a didactic magnetic levitation system for control education , 2003, 6th International Conference on Telecommunications in Modern Satellite, Cable and Broadcasting Service, 2003. TELSIKS 2003..

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

[11]  Ishtiaq Ahmad,et al.  Nonlinear model & controller design for magnetic levitation system , 2010 .

[12]  Ameya Anil Kesarkar,et al.  Design of fractional order robust controller for universal plant structure , 2011, 2011 Nirma University International Conference on Engineering.

[13]  A. Charef,et al.  Parameter Tuning of Fractional PIλDμ Controllers With Integral Performance Criterion , 2008 .

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

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

[16]  Blas M. Vinagre,et al.  A proposal for optimal tuning of fractional order proportional integral-proportional derivative PIα-PDß controllers , 2009, 2009 IEEE Conference on Emerging Technologies & Factory Automation.

[17]  Ameya Anil Kesarkar,et al.  Tuning of robust PIα /PDβ controller for generalized plant structure , 2011, 2011 INTERNATIONAL CONFERENCE ON RECENT ADVANCEMENTS IN ELECTRICAL, ELECTRONICS AND CONTROL ENGINEERING.

[18]  YangQuan Chen,et al.  A fractional order proportional and derivative (FOPD) controller tuning algorithm , 2008, 2008 Chinese Control and Decision Conference.

[19]  M. Okano,et al.  Magnetic rail construction for a low loss superconducting magnetic levitation linear guide , 2004, IEEE Transactions on Applied Superconductivity.

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

[21]  S. Das,et al.  Functional Fractional Calculus for System Identification and Controls , 2007 .

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