Fractional-Order PI Controller with Anti-windup Compensation for First Order Delay System

The main aim of this paper is to present the analysis of stability regions for the closed-loop system with first-order linear model of the Inteco Servo Drive with additional time delay and continuous fractional-order PI controller and anti-windup compensators. It is a extension to Authors previous works concerning non-integer order controllers, in which stability issues are considered by means of BIBO simulation-based tests, with several anti-windup compensation schemes considered. The tuning method of fractional-order PI controller is with respect to Hermite-Biehler and Pontryagin theorems.

[1]  Richard Bellman,et al.  Differential-Difference Equations , 1967 .

[2]  YangQuan Chen,et al.  Frequency domain modelling and control of fractional-order system for permanent magnet synchronous motor velocity servo system , 2016 .

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

[5]  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).

[6]  Dariusz Horla,et al.  Initial Comparison of Experimental Vs. Simulation Results of Velocity Fractional-Order PI Controller of a Servo Drive , 2017, AUTOMATION.

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

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

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

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

[12]  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).

[13]  Lin Guohan,et al.  A novel anti-windup compensator based on fuzzy logic , 2009, 2009 4th International Conference on Computer Science & Education.

[14]  Y. Sun,et al.  Research on Fractional Order Controller in Servo Press Control System , 2007, 2007 International Conference on Mechatronics and Automation.

[16]  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).

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