Experimental results of fractional order PI controller designed for second order plus dead time (SOPDT) processes

The present paper presentes the tuning of a Fractional Order Proportional Integral (FOPI) controller for second-order-plus-time-delay (SOPDT) plants. The tuning procedure is based on imposing frequency domain constraints for the open loop system with the FOPI controller and the SOPDT plant. The gain crossover frequency, phase margin and the iso-damping property that guarantees a certain degree of robustness to gain variations are imposed in order to obtain the parameters of the fractional order controller. The proposed method is validated by real life implementation on a process whose dynamics are approximated to a SOPDT model. The settling time, steady state error, robustness and disturbance rejection capabilities are analyzed using experimental test cases.

[1]  William L. Luyben,et al.  Effect of derivative algorithm and tuning selection on the PID control of dead-time processes , 2001 .

[2]  Cristina I. Muresan,et al.  An optimal fractional order controller for vibration attenuation , 2017, 2017 25th Mediterranean Conference on Control and Automation (MED).

[3]  Cristina I. Muresan,et al.  A Comparison between Integer and Fractional Order PDμ Controllers for Vibration Suppression , 2016 .

[4]  S. Majhi,et al.  Fractional order PID controller design for an SOPDT model by online tuning method , 2016, 2016 Indian Control Conference (ICC).

[5]  Cheng-Ching Yu,et al.  PID tuning rules for SOPDT systems: review and some new results. , 2004, ISA transactions.

[6]  Cristina I. Muresan,et al.  Experimental results of a fractional order PDλ controller for vibration suppresion , 2016, 2016 14th International Conference on Control, Automation, Robotics and Vision (ICARCV).

[7]  José António Tenreiro Machado,et al.  On development of fractional calculus during the last fifty years , 2013, Scientometrics.

[8]  Ming Qiu Li,et al.  Robust Fractional Order Proportional Integral Control for Large Time-Delay System , 2014 .

[9]  G. Shin,et al.  Genetic Algorithm for Identification of Time Delay Systems from Step Responses , 2007 .

[10]  Robin De Keyser,et al.  Analysis of a new continuous-to-discrete-time operator for the approximation of fractional order systems , 2016, 2016 IEEE International Conference on Systems, Man, and Cybernetics (SMC).

[11]  Ameya Anil Kesarkar,et al.  SHORT COMMUNICATION Tuning of optimal fractional-order PID controller using an artificial bee colony algorithm , 2015 .

[12]  Yangquan Chen,et al.  Stabilizing and robust fractional order PI controller synthesis for first order plus time delay systems , 2012, Autom..

[13]  Ramon Vilanova,et al.  PID Control in the Third Millennium , 2012 .

[14]  Mohamed Aoun,et al.  Bode shaping-based design methods of a fractional order PID controller for uncertain systems , 2015 .

[15]  Antonio Visioli,et al.  The generalised isodamping approach for robust fractional PID controllers design , 2017, Int. J. Control.

[16]  Tore Hägglund,et al.  Automatic tuning of simple regulators with specifications on phase and amplitude margins , 1984, Autom..

[17]  Yong Zhang,et al.  Robust identification of continuous systems with dead-time from step responses , 2001, Autom..

[18]  YangQuan Chen,et al.  Fractional-order Systems and Controls , 2010 .

[19]  Karel J. Keesman,et al.  System Identification: An Introduction , 2011 .

[20]  W. Luyben,et al.  Tuning PI controllers for integrator/dead time processes , 1992 .