Design of Fractional Order PID Controller Based Particle Swarm
Keywords:
FOPID controller, Particle SwarmAbstract
Fractional order PID (FOPID) controller is a special kind of PID controller whose derivative and integral order are fractional rather than integer which has five parameters to be tuned. This paper presents study of the implementation of tuning method and performance enhancement of the closed loop system by use of the fractional order PID (PIλDμ) controller utilizing a MATLAB/Simulink. The tuning methods for these type controllers have many mixed tools of the available optimization methods and update artificial optimization methods in the design. In this paper particle swarm optimization has been implemented to design FOPID controller in which the unknown parameters are determined minimizing a given integral of time weighted absolute error (ITAE). The main specification of this paper is that the all five parameters of (PIλDμ) have been found directly without spreading the steps. It has been shown that the response and performance of the closed loop system with FOPID controller is much better than integer order PID controller for the same system and with better robustness.
Downloads
References
V. Shekher, P. Rai and O. Prakash, (2012), "Tuning and Analysis of Fractional Order PID Controller", International Journal of Electronic and Electrical Engineering. ISSN 0974-2174 Vol. 5, No. 1, pp. 11-21.
D. Xue and Y. Q. Chen, (2006), "Fractional Order PID Control of a DC-Motor with
Elastic Shaft: a Case Study", IEEE, 1-4244-0210-7/06, pp. 3182-3187.
K. Åstrӧm and T. Hägglun, (1995), "PID controllers: Theory, Design and Tuning", 2nd
Edition, Instrument society of America, No. of Pages 343.
A. Oustaloup, F. Levron, B. Mathieu and F. M. Nanot, (2000), "Frequency-Band
Complex Non integer Differentiator: Characterization and Synthesis", IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, Vol. 47, No. 1, pp. 25–39. DOI: https://doi.org/10.1109/81.817385
I. Podlubny, (1999), "Fractional-order systems and PIλDμ controllers", IEEE Transactions on Automatic Control, Vol.44, No. 1, pp. 208–214. DOI: https://doi.org/10.1109/9.739144
B. M. Vinagre, I. Podlubny, L. Dorcak and V. Feliu, (2000), "On fractional PID
controllers: A frequency domain approach", IFAC workshop on digital control. Past, present and future of PID control, pp. 53–58.
Y. Q. Chen and K. L. Moore, (2002), "Discritization schemes for fractional order
Differentiators and integrators", IEEE Transactions on Circuits and Systems I:
Fundamental Theory and Applications, Vol. 49, No. 3, pp. 363–367.
C. A. Monje, B. M. Vinagre, V. Feliu and Y.Q. Chen, (2008), "Tuning and auto-tuning of fractional order controllers for industry applications", Control Engineering Practice, Vol. 16, pp.798–812. DOI: https://doi.org/10.1016/j.conengprac.2007.08.006
C. A. Monje, A. J. Calderon, B. M. Vinagre, Y. Q. Chen and V. Feliu., (2004), "On
Fractional PIλ Controllers: Some Tuning Rules for Robustness to Plant Uncertainties",
Nonlinear Dynamics, Vol. 38, pp. 369-381.
R. Caponetto, G. Dongola, L. Fortuna and I. Petráš, (2010), "Fractional Order Systems: Modeling and Control Applications", Series A Vol. 72, Singapore, World Scientific Series on Nonlinear Science, No. of Pages 178. DOI: https://doi.org/10.1142/7709
D. Baleanu, J. A. T. Machado and A. C. J. Luo, (2012), " Fractional Dynamics and DOI: https://doi.org/10.1007/978-1-4614-0457-6
Control", USA, Springer Science + Business Media, No. of Pages 309.
C. A. Monje, Y. Q. Chen, B. M. Vinagre, D. Xue and V. Feliu, (2010), "Fractional-order Systems and Controls: Fundamentals and Applications", London, Springer-Verlag London Limited, No. of Pages 414. DOI: https://doi.org/10.1007/978-1-84996-335-0
V. Gazi and K. M. Passino, (2011), "Swarm Stability and Optimization", German, Springer Science + Business Media, No. of Pages 299. DOI: https://doi.org/10.1007/978-3-642-18041-5
D. P. Mata and O. Valério, (2005), "Ninteger V. 2.3 Fractional control toolbox for MatLab", Lisboa: Instituto Superior Técnico da Universidade Técnica de Lisboa, No. of Pages 96. (http://www.mathworks.com/matlabcentral/ file exchange).
Published
How to Cite
Issue
Section
Copyright (c) 2014 Abdelelah Kidher Mahmood, Bassam Fadel Mohammed
This work is licensed under a Creative Commons Attribution 4.0 International License.