Comparative Performance Study of Optimal Interval Type-2 Fuzzy PID Controllers with Practical System

Authors

  • Ritu Rani De (Maity Department of Instrumentation and Electronics Engineering, Jadavpur University, Kolkata, India
  • Rajani K. Mudi Department of Instrumentation and Electronics Engineering, Jadavpur University, Kolkata, India
  • Chanchal Dey Instrumentation Engineering, Department of Applied Physics, University of Calcutta, Kolkata, India

DOI:

https://doi.org/10.26438/ijcse/v8i3.16

Keywords:

Particle swarm optimization(PSO), Cuckoo search algorithm (CS), Bee colony algorithm(BCA), Interval type-2 fuzzy controller

Abstract

In this paper, the input and output scaling factors of the type-2 fuzzy PID Controller (IT2-FPID) are determined using three different optimization algorithms (Cuckoo search (CS), Particle swarm optimization (PSO), and Bee colony algorithm (BCA)) for a first-order integrating plus dead time (FOIPD) model. A comparative performance study is made for these three optimization algorithms in terms of various transient performance indices. The comparative analysis on the experimental results reveals that BCA based optimal IT2-FPID shows better performance on a simulation model whereas CS based optimal IT2-FPID is found to be superior for practical system over other algorithms.

References

[1] Thana Radpukdee " Sliding Mode Control with PID Tuning Technique: An Application to a DC Servo Motor Position Tracking Control", Energy Research Journal 1 (2), pp. 55-61, 2010

[2] Mohd Fua’ad Rahamat & Mariam md Ghazaly, “Performance Comparison between PID And Fuzzy Logic Controller in position Control System of DC Servomotor”, Jurnal Teknologi Malayshia, 45(D), pp. 1-17, 2006.

[3] S. Bandyopadhyay, A. Das, “Emphasis on Genetic Agorithm (GA) over Different PID Tuning Methods of Controlling Servo System Using MATLAB”, International Journal of Scientific Research in Computer Sciences and Engineering, Vol. 1, Issue3, pp. 8-13, 2013.

[4] L. A. Zadeh, “The concept of a linguistic variable and its application to approximate reasoning—1”, Information Science, Vol. 8, 199–249, 1975

[5] A. Yadav, V.K. Harit, “Fault identification in Sub-station by Using Neuro-Fuzzy Technique”, International Journal of Scientific Research in Computer Science and Engineering ,Vol4, Issue-6, pp.-1-7,2016.

[6] E. Ontiveros-Robles, P. Melin, O. Castillo, “Comparative Analysis of Noise Robustness of Type-2 Fuzzy Logic Controller”, Kybernetika,Vol. 54, No. 1,pp. 175-201, 2018.

[7] B. Sakalli, T. Kumbasar, “On the design and gain analysis of IT2-FPID with a case study on an electric vehicle”, IEEE International Conference on Fuzzy Systems, Vol.25, No.6, pp. 1752-1764, 2017.

[8] H. A. Hagras, “A hierarchical Type-2 fuzzy logic control architecture for autonomous mobile robots”, IEEE Trans. Fuzzy Syst., Vol. 12, No. 4, pp. 524–539,2004.

[9] D. Türkay, A. Baykasoglu, K. Altun, A. Durmusoglu, B. Türksen, “Industrial applications of type-2 fuzzy sets and systems: A concise review”, Computers in Industry; 62(1), pp.125-137, 2011.

[10] N. N. Karnik, and J. M. Mendel, “Introduction to type-2 fuzzy logic systems”, Proceedings of IEEE International Conference on Fuzzy Systems, Vol. 2 pp. 915-920, 1998.

[11] J. M. Mendel, “Uncertain rule-based fuzzy logic systems: introduction and new directions”, Prentice-Hall, New Jersey, 2001

[12] J. Mendel and R. John, "Type-2 Fuzzy Sets Made Simple," IEEE Transactions on Fuzzy Systems, vol. 10, pp.1 17-127, April 2002.

[13] N. N. Karnik and J. M. Mendel, “Centroid of a type-2 fuzzy set”, In-form. Sci., vol. 132, pp. 195–220, 2001

[14] W.Z. Qiao, M. Mizumoto, “PID type fuzzy controller and parameters adaptive method.Fuzzy Sets and Systems”, 78(1),pp. 23–35, 1996.

[15] E Yesil, T Kumbasar, F Dodurka, and A Sakalli, “Peak observer based self-tuning type-2 fuzzy PID controllers”, In Proc. International Conference on Artificial Intelligence Applications and Innovations AIAI, pp. 487-497, 2014.

[16] Ali Al-Waily, R.S., “Design of Robust Mixed H2/H∞ PID Controller Using Particle Swarm Optimization”, International Journal of Advancements in Computing Technology 2(5), pp.53–60, 2010.

[17] O. Castillo, L. Amador-Angulo, “A generalized type-2 fuzzy logic approach for dynamic parameter adaptation in bee colony optimization applied to fuzzy controller design”, Information Sciences, Volumes 460-461, pp. 476-496, 2017.

[18] M. Konar, A. Bagis, “Performance Comparison of Particle Swarm Optimization, Differential Evolution and Artificial Bee Colony Algorithms for Fuzzy Modelling of Nonlinear Systems”, Elektron. Elektrotech, Vol. 22, pp. 8-13, 2016.

[19] J. Kennedy, and R.C. Eberhart, “Particle swarm optimization”, in: Proc. of IEEE International Conference on Neural Networks, Piscataway, NJ, pp. 1942–1948, 1995.

[20] D. Karaboga, B. Basturk, “On the performance of artificial bee colony (ABC) algorithm”, Applied Soft Computing, Vol. 8, pp. 689-697, 2008.

[21] X.S. Yang , S. Deb, “ Cuckoo Search ViaLevy flights”, In Nature & Biologically Inspired Computing, 2009, World Congress on (IEEE 2009), pp. 210–214,2009.

[22] Documentation for the USER MANUAL Quanser QUBE-Servo-2, Ontario, Canada, 2016

[23] R. Palm, “Sliding mode fuzzy control”, Proc. IEEE Int. Conf. on Fuzzy Systems – FUZZ-IEEE, pp. 519-526,1992

Downloads

Published

2020-03-30
CITATION
DOI: 10.26438/ijcse/v8i3.16
Published: 2020-03-30

How to Cite

[1]
R. R. D. Maity, R. K. Mudi, and C. Dey, “Comparative Performance Study of Optimal Interval Type-2 Fuzzy PID Controllers with Practical System”, Int. J. Comp. Sci. Eng., vol. 8, no. 3, pp. 1–6, Mar. 2020.

Issue

Section

Research Article