Initial Comparison of Experimental Vs. Simulation Results of Velocity Fractional-Order PI Controller of a Servo Drive

In the paper, an initial comparison of experimental vs. simulation results from a tracking system is presented, in the case of a Fractional-Order PI controller for a time-delay system. The controller is implemented as to work in real-time regime, for the Modular Servo System (Inteco). Based on theoretical results, stability regions are computed using Hermite-Biehler and Pontryagin theorems. Next, based on identification carried out in previous work, simulation results of a tracking performance (velocity control) are presented, and compared with experimental results from the laboratory stand, to verify if any conclusions can be drawn using computer models, concerning real-world control system with fractional-order controller. To compare control performance, IAE and ISE indices are used.

[1]  Eduard Petlenkov,et al.  Fractional-order controller design and digital implementation using FOMCON toolbox for MATLAB , 2013, 2013 IEEE Conference on Computer Aided Control System Design (CACSD).

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

[3]  Farzad Tahami,et al.  Speed control of servo drives with a flexible couplings using fractional order state feedback , 2014, The 5th Annual International Power Electronics, Drive Systems and Technologies Conference (PEDSTC 2014).

[4]  Kouhei Ohnishi,et al.  A Design Method of Communication Disturbance Observer for Time-Delay Compensation, Taking the Dynamic Property of Network Disturbance Into Account , 2008, IEEE Transactions on Industrial Electronics.

[5]  A. Hatley Mathematics in Science and Engineering , Volume 6: Differential- Difference Equations. Richard Bellman and Kenneth L. Cooke. Academic Press, New York and London. 462 pp. 114s. 6d. , 1963, The Journal of the Royal Aeronautical Society.

[6]  I Podlubny Fractional-order systems and (PID mu)-D-lambda-controllers , 1999 .

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

[8]  Kenji Natori,et al.  A design method of time-delay systems with communication disturbance observer by using Pade approximation , 2012, 2012 12th IEEE International Workshop on Advanced Motion Control (AMC).

[9]  Krzysztof J. Latawiec,et al.  Advances in Modelling and Control of Non-integer-Order Systems - 6th Conference on Non-integer Order Calculus and Its Applications, 2014 Opole, Poland , 2015, RRNR.

[10]  Dariusz Horla,et al.  Stability analysis and tracking performance of fractional-order PI controller for a second-order oscillatory system with time-delay , 2016, 2016 21st International Conference on Methods and Models in Automation and Robotics (MMAR).

[11]  Dariusz Horla,et al.  Minimum Variance Adaptive Control of A Servo Drive with Unknown Structure and Parameters , 2013 .

[12]  Dariusz Horla,et al.  Mathematical models database (MMD ver. 1.0) non-commercial proposal for researchers , 2016, 2016 21st International Conference on Methods and Models in Automation and Robotics (MMAR).

[13]  Sami Hafsi,et al.  Synthesis of a fractional PI controller for a first-order time delay system , 2013 .

[14]  Dariusz Horla,et al.  Analysis of simple anti-windup compensation in approximate pole-placement control of a second order oscillatory system with time-delay , 2015, 2015 20th International Conference on Methods and Models in Automation and Robotics (MMAR).

[15]  Tadeusz Kaczorek,et al.  Selected Problems of Fractional Systems Theory , 2011 .

[16]  Dariusz Horla,et al.  Analysis of simple anti-windup compensation in pole-placement control of a second order oscillatory system , 2015 .

[17]  Luigi Fortuna,et al.  Fractional Order Systems: Modeling and Control Applications , 2010 .