Design of Fractional Order PID Controller for Speed Control of DC Motor

Conventional PID controller is one of the most widely used controllers in industry, but the recent advancement in fractional calculus has introduced applications of fractional order calculus in control theory. One of the prime applications of fractional calculus is fractional order PID controller and it has received a considerable attention in academic studies and in industrial applications. Fractional order PID controller is an advancement of classical integer order PID controller. In many a cases fractional order PID controller has outperformed classical integer order PID controller. This research paper, studies the control aspect of fractional order controller in speed control of DC motor. A comparative study of classical PID controller and fractional order PID controller has been performed.

[1]  W. Pedrycz,et al.  Machine Learning and Cybernetics , 2014, Communications in Computer and Information Science.

[2]  Dingyu Xue,et al.  Optimal Fractional Order Proportional Integral Controller for Varying Time-Delay Systems , 2008 .

[3]  Ivo Petráš,et al.  FRACTIONAL – ORDER FEEDBACK CONTROL OF A DC MOTOR , 2009 .

[4]  YangQuan Chen,et al.  Fractional-order integral and derivative controller design for temperature profile control , 2008, 2008 Chinese Control and Decision Conference.

[5]  YangQuan Chen,et al.  Tuning and auto-tuning of fractional order controllers for industry applications , 2008 .

[6]  Xiangde Zhang,et al.  The application of fractional order PID controller to position servomechanism , 2008, 2008 7th World Congress on Intelligent Control and Automation.

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

[8]  Radek Matušů,et al.  Fractional order calculus in control theory , 2011 .

[9]  Bing-Gang Cao,et al.  Design of Fractional Order Controller Based on Particle Swarm Optimization , 2006 .

[10]  M. Čech,et al.  The fractional-order PID controller outperforms the classical one , 2006 .

[11]  Siddhartha Sen,et al.  Root locus method for any fractional order commensurate system , 2011, IEEE Technology Students' Symposium.

[12]  Yangquan Chen,et al.  Experimental study of fractional order proportional integral (FOPI) controller for water level control , 2008, 2008 47th IEEE Conference on Decision and Control.

[13]  Ravi Kumar Jatoth,et al.  Design and implementation of Fractional Order PID controller for aerofin control system , 2009, 2009 World Congress on Nature & Biologically Inspired Computing (NaBIC).

[14]  Amit Konar,et al.  Design of a Fractional Order PID Controller Using Particle Swarm Optimization Technique , 2008, ArXiv.

[15]  Juan J. Gude,et al.  Analysis and performance comparison of PID and fractional PI controllers , 2010 .

[16]  Amit Konar,et al.  The Application of Stochastic Optimization Algorithms to the Design of a Fractional-order PID Controller , 2008, ArXiv.

[17]  YangQuan Chen,et al.  Fractional order PID control of a DC-motor with elastic shaft: a case study , 2006, 2006 American Control Conference.

[18]  S. A. David,et al.  Fractional order calculus: historical apologia, basic concepts and some applications , 2011 .

[19]  DasSwagatam,et al.  Design of fractional-order PIλDµ controllers with an improved differential evolution , 2009 .

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

[21]  Mohamed Karim Bouafoura,et al.  PI λ D μ controller design for integer and fractional plants using piecewise orthogonal functions , 2010 .

[22]  I. Petráš.  Fractional-Order Nonlinear Systems: Modeling, Analysis and Simulation , 2011 .

[23]  Li Meng,et al.  Design of an optimal fractional-order PID controller using multi-objective GA optimization , 2009, 2009 Chinese Control and Decision Conference.

[24]  Dominik Sierociuk,et al.  Simulation and experimental tools for fractional order control education , 2008 .

[25]  J. A. Tenreiro Machado,et al.  On the Fractional PID Control of a Laboratory Servo System , 2008 .

[26]  Ammar A. Aldair,et al.  Design of Fractional Order controller based on Evolutionary Algorithm for a full vehicle nonlinear active suspension systems , 2010 .

[27]  Bing-Gang Cao,et al.  Optimization of fractional order PID controllers based on genetic algorithms , 2005, 2005 International Conference on Machine Learning and Cybernetics.

[28]  Nasser Sadati,et al.  Fopid Controller Design for Robust Performance Using Particle Swarm Optimization , 2007 .

[29]  Antonio Visioli,et al.  Tuning rules for optimal PID and fractional-order PID controllers , 2011 .

[30]  José António Tenreiro Machado,et al.  Fractional Order Calculus: Basic Concepts and Engineering Applications , 2010 .