Effect of fractional orders in the velocity control of a servo system

The application of fractional-order PID controllers is now an active field of research. This article investigates the effect of fractional (derivative and integral) orders upon system's performance in the velocity control of a servo system. The servo system consists of a digital servomechanism and an open-architecture software environment for real-time control experiments using MATLAB/Simulink tools. Experimental responses are presented and analyzed, showing the effectiveness of fractional controllers. Comparison with classical PID controllers is also investigated.

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

[2]  J. G. Ziegler,et al.  Optimum Settings for Automatic Controllers , 1942, Journal of Fluids Engineering.

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

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

[5]  M. E. Bise,et al.  Fractional calculus application in control systems , 1990, IEEE Conference on Aerospace and Electronics.

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

[7]  Alain Oustaloup,et al.  Robust Speed Control of a Low Damped Electromechanical System Based on CRONE Control: Application to a Four Mass Experimental Test Bench , 2004 .

[8]  Vicente Feliu-Batlle,et al.  Fractional robust control of main irrigation canals with variable dynamic parameters , 2007 .

[9]  J. A. Tenreiro Machado,et al.  Tuning of PID Controllers Based on Bode’s Ideal Transfer Function , 2004 .

[10]  J. Machado Analysis and design of fractional-order digital control systems , 1997 .

[11]  Gene F. Franklin,et al.  Feedback Control of Dynamic Systems , 1986 .

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

[13]  A. Oustaloup La dérivation non entière , 1995 .

[14]  R. Hilfer Applications Of Fractional Calculus In Physics , 2000 .