Design of the Neutrosophic Membership Valued Fuzzy-PID Controller and Rotation Angle Control of a Permanent Magnet Direct Current Motor

Volume: 5 November 7, 2016
TR

Design of the Neutrosophic Membership Valued Fuzzy-PID Controller and Rotation Angle Control of a Permanent Magnet Direct Current Motor

Abstract

In this paper, we propose a method based on the fuzzy logic controller (FLC) method, created by using neutrosophic membership values. This method is named as proportional integral derivative-neutrosophic valued fuzzy logic controller (PID-NFLC). We conducted a performance simulation test to compare the PID-NFLC with classical FLC for control of the rotation angle of a permanent magnet direct current (PMDC) motor. Rotation angle error and change of this error were used as the input variables of the FLC and NFLC units. In the suggested neutrosophic valued FLC (NFLC), placement of the input variables was evaluated on the universal set by using neutrosophic membership function approach. Error and error change were evaluated in two different NFLC unit separately from each other. Then, crisp outputs of the NFLC units are applied to PID controller. So, PID-NFLC was obtained. The proposed method and conventional FLC were tested in the SIMULINK. According to the test results, our suggested method is own  lesser overshoot ratio and more fast rising time characteristics than the classical FLC. In addition, evaluation of error change, separately from the error in the proposed method is providing flexibility in the PMDC motor position control process.

Keywords

PID,Fuzzy logic controller,neutrosophy,neutrosophic logic,PMDC motor,position control.

References

  1. M. Shahrokhi, A. Zomorrodi, Comparison of PID Controller Tuning Methods, Proceedings of 8th National Iranian Chemical Engineering Congress, Ferdowsi University, Mashhad, Iran, 2003.
  2. K. M. Hussain, R. A. R. Zepherin, M. S. Kumar, S. M. G. Kumar, Comparison of PID Controller Tuning Methods with Genetic Algorithm for FOPTD System, Int. Journal of Engineering Research and Applications, vol. 4, issue 2 ( Version 1), pp. 308-314, 2014.
  3. L. A. Zadeh, Fuzzy Sets, Information & Control, vol.8, pp. 338-353, 1965.
  4. F. Smarandache, Neutrosophy a New Branch of Philosophy, Multi. Val. Logic – Special Issue: Neutrosophy and Neutrosophic Logic, vol. 8(3), pp. 297-384, 2002
  5. F. Smarandache, Definition of Neutrosophic Logic, a Generalization of the Intuitionistic Fuzzy Logic, Proceeding of the Third Conference of the European Society for Fuzzy Logic and Technology, 2003
  6. C. Mitsantisuk, M. Nandayapa, K. Ohishi, S. Katsura, Design for Sensorless Force Control of Flexible Robot by Using Resonance Ratio Control Based on Coefficient Diagram Method, Automatika, Vol 54, No 1, special issue, selected papers from AMC2012 Conference, DOI: 10.7305/automatika.54-1.311
  7. E. H. Mamdani, Application of fuzzy logic algorithms for control of simple dynamic plant, Proc Inst Elec Eng., pp. 1585-1588, 1974.
  8. E. Jahanshahi, S. Sivalingam, J.B. Schofield, Industrial test setup for autotuning of PID controllers in large-scale processes: Applied to Tennessee Eastman process, IFAC-PapersOnLine, vol. 48, Issue 8, pp. 469-476, 2015.
  9. P. Ponce, A. Molina, G. Tello, L. Ibarra, B. MacCleery, M. Ramirez, Experimental study for FPGA PID position controller in CNC micro-machines, IFAC-PapersOnLine, vol. 48, issue 3, pp 2203-2207, 2015
  10. F. Reyes, A. Rosado, Polynomial family of PD-type controllers for robot manipulators, Control Engineering Practice, vol. 13, issue 4, pp 441-450, April 2005.
APA
Can, M. S., & Özgüven, Ö. F. (2016). Design of the Neutrosophic Membership Valued Fuzzy-PID Controller and Rotation Angle Control of a Permanent Magnet Direct Current Motor. Journal of New Results in Science, 5, 126-138. https://izlik.org/JA62FK57NC
AMA
1.Can MS, Özgüven ÖF. Design of the Neutrosophic Membership Valued Fuzzy-PID Controller and Rotation Angle Control of a Permanent Magnet Direct Current Motor. JNRS. 2016;5:126-138. https://izlik.org/JA62FK57NC
Chicago
Can, Mehmet Serhat, and Ömerül Faruk Özgüven. 2016. “Design of the Neutrosophic Membership Valued Fuzzy-PID Controller and Rotation Angle Control of a Permanent Magnet Direct Current Motor”. Journal of New Results in Science 5 (November): 126-38. https://izlik.org/JA62FK57NC.
EndNote
Can MS, Özgüven ÖF (November 1, 2016) Design of the Neutrosophic Membership Valued Fuzzy-PID Controller and Rotation Angle Control of a Permanent Magnet Direct Current Motor. Journal of New Results in Science 5 126–138.
IEEE
[1]M. S. Can and Ö. F. Özgüven, “Design of the Neutrosophic Membership Valued Fuzzy-PID Controller and Rotation Angle Control of a Permanent Magnet Direct Current Motor”, JNRS, vol. 5, pp. 126–138, Nov. 2016, [Online]. Available: https://izlik.org/JA62FK57NC
ISNAD
Can, Mehmet Serhat - Özgüven, Ömerül Faruk. “Design of the Neutrosophic Membership Valued Fuzzy-PID Controller and Rotation Angle Control of a Permanent Magnet Direct Current Motor”. Journal of New Results in Science 5 (November 1, 2016): 126-138. https://izlik.org/JA62FK57NC.
JAMA
1.Can MS, Özgüven ÖF. Design of the Neutrosophic Membership Valued Fuzzy-PID Controller and Rotation Angle Control of a Permanent Magnet Direct Current Motor. JNRS. 2016;5:126–138.
MLA
Can, Mehmet Serhat, and Ömerül Faruk Özgüven. “Design of the Neutrosophic Membership Valued Fuzzy-PID Controller and Rotation Angle Control of a Permanent Magnet Direct Current Motor”. Journal of New Results in Science, vol. 5, Nov. 2016, pp. 126-38, https://izlik.org/JA62FK57NC.
Vancouver
1.Mehmet Serhat Can, Ömerül Faruk Özgüven. Design of the Neutrosophic Membership Valued Fuzzy-PID Controller and Rotation Angle Control of a Permanent Magnet Direct Current Motor. JNRS [Internet]. 2016 Nov. 1;5:126-38. Available from: https://izlik.org/JA62FK57NC