Abstract
The main objective of this research is to present the tuning of the fractional order PID controller for the forced air heating system using the particle swarm optimization algorithm (PSO), cockroach swarm optimization algorithm (CSO), grey wolf optimizer algorithm (GWO). In preliminaries, fractional calculus is discussed. Then, all three biological algorithms are briefly presented. Obtained simulation results allow comparison of individual algorithms in terms of overshoot, settling time and performance criteria (IAE, ITAE).
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Das, S.: Functional Fractional Calculus for System Identication and Controls. Springer, Heidelberg (2008)
Kaczorek, T.: Selected Problems of Fractional System Theory. Springer, Berlin (2011)
Jangir, P., Bhesdadiya, R.,Ladumor, D., Trivedi, I.: A multi-objective grey wolf optimization algorithm for economic/environmental dispatch. In: PNFE-2016At: St. Peters Engineering college, Hyderabad, India, October 2016. https://doi.org/10.13140/RG.2.2.21536.79364
Kwiecien, J., Filipowicz, F.: Algorytmy stadne w problemach optymalizacji. Automatyka, Tom 11, Zeszyt 2 (2011)
Kwiecien, J., Filipowicz, F.: Comparison of firefly and cockroach algorithms in selected discrete and combinatorial problems. Bull. Pol. Acad. Sci. Tech. 62(4), 794–804 (2014)
Majka, Ł.: Applying a fractional coil model for power system ferroresonance analysis. Bull. Pol. Acad. Sci. Tech. Sci. 66(4), 467–474 (2018). https://doi.org/10.24425/124263
Matignon, D.: Stability results for fractional differential equations with applications to control processing . In: IMACS-SMC Proceedings, Lille, France, July 1996
Meng, L., Wang, D., Han, P.: Identication of fractional order system using particle swarm optimization. In: 2012 International Conference on Machine Learning and Cybernetics, July 2012. https://doi.org/10.1109/ICMLC.2012.6359551
Obagbuwa, I., Adewumi, A.: An improved cockroach swarm optimization, May 2014. https://doi.org/10.1155/2014/375358
Oustaloup, A., Levron, F., Mathieu, B., Nanot, F.M.: Frequency-band complex noninteger differentiator: characterization and synthesis. IEEE Trans. Circ. Syst. I Fundam. Theor. Appl. 47(1), 25–39 (2000)
Petras, I.: Fractional derivatives, fractional integrals and fraction dierential equations. Technical University of Kosice (2012)
Podlubny, I.: Fractional Differential Equations. Academic Press, Cambridge (1999)
Teplakov, A.: Fractional-order Modeling and Control of Dynamic Systems. Tallin Unviersity of Technology, Tallin (2015)
Shi, Y., Eberhart, R.: A modied particle swarm optimizer. In: IEEE World Congress on Computational Intelligence, June 1998. https://doi.org/10.1109/ICEC.1998.699146
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2020 Springer Nature Switzerland AG
About this paper
Cite this paper
Dziedzic, K. (2020). Tuning the Fractional Order PID Controller in the Forced Air Heating System Using Biologically Inspired algorithms. In: Szewczyk, R., Zieliński, C., Kaliczyńska, M. (eds) Automation 2020: Towards Industry of the Future. AUTOMATION 2020. Advances in Intelligent Systems and Computing, vol 1140. Springer, Cham. https://doi.org/10.1007/978-3-030-40971-5_13
Download citation
DOI: https://doi.org/10.1007/978-3-030-40971-5_13
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-40970-8
Online ISBN: 978-3-030-40971-5
eBook Packages: Intelligent Technologies and RoboticsIntelligent Technologies and Robotics (R0)