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Reseach Article

Dynamic Modelling with a Modified PID Controller of a Three Link Rigid Manipulator

by Sherif G. Ahmad, Ahmad S. Elbanna, Mohamad S. Elksas, Fayez G. Areed
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 179 - Number 34
Year of Publication: 2018
Authors: Sherif G. Ahmad, Ahmad S. Elbanna, Mohamad S. Elksas, Fayez G. Areed
10.5120/ijca2018916772

Sherif G. Ahmad, Ahmad S. Elbanna, Mohamad S. Elksas, Fayez G. Areed . Dynamic Modelling with a Modified PID Controller of a Three Link Rigid Manipulator. International Journal of Computer Applications. 179, 34 ( Apr 2018), 37-42. DOI=10.5120/ijca2018916772

@article{ 10.5120/ijca2018916772,
author = { Sherif G. Ahmad, Ahmad S. Elbanna, Mohamad S. Elksas, Fayez G. Areed },
title = { Dynamic Modelling with a Modified PID Controller of a Three Link Rigid Manipulator },
journal = { International Journal of Computer Applications },
issue_date = { Apr 2018 },
volume = { 179 },
number = { 34 },
month = { Apr },
year = { 2018 },
issn = { 0975-8887 },
pages = { 37-42 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume179/number34/29221-2018916772/ },
doi = { 10.5120/ijca2018916772 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-07T00:57:26.614734+05:30
%A Sherif G. Ahmad
%A Ahmad S. Elbanna
%A Mohamad S. Elksas
%A Fayez G. Areed
%T Dynamic Modelling with a Modified PID Controller of a Three Link Rigid Manipulator
%J International Journal of Computer Applications
%@ 0975-8887
%V 179
%N 34
%P 37-42
%D 2018
%I Foundation of Computer Science (FCS), NY, USA
Abstract

This paper presents the modelling of three links rigid manipulator (TRLM) deriving its dynamic equations depending on Lagrange/Euler (L-E) method, the manipulator design and implementation has a complexity, uncertainty and instability dynamic features which lead to a non-linear characteristics, so controlling the manipulator means controlling multi-body multi-input multi-output (MIMO) non-linear and coupled system, the second part of this paper introduce a precise modified Proportional Integral Derivative (PID) controller to control the manipulator under applying different scenarios for the reference signal according to manipulator applications.

References
  1. M.W. Spong, S. Hutchinson, and M. Vidyasagar, 2005. 'Robot Dynamics & Control' Wiley John Wiley & sons Inc., ISBN: 978-0471649908.
  2. John J. Craig, 2005. 'Introduction to Robotics Mechanics and Control (third edition)' Pearson Prentice Hall, ISBN 9780201543612.
  3. Saeed B. Niku, 2013. ' Introduction to robotics Analysis, Control, Applications (Second Edition)' Beijing: Publishing House of Electronics Industry, ISBN: 978-0-470-60446-5.
  4. J. Swevers, W. Verdonck, and J.D. Schutter, 2007. ' Dynamic model identification for industrial robots' IEEE Control Systems Magazine, DOI 10.1007/978-1-4020-8915-2, pp. 58-71.
  5. J. Angeles, 2014. 'Fundamentals of Robotic Mechanical System: Theory, Methods, and Algorithms' ISBN 978-3-319-01851-5.
  6. L. Sciavicco and B. Siciliano, 2000. 'Modelling and Control of Robot Manipulators (Second Edition)', Springer ISBN 978-1-4471-0449-0.
  7. Kostic, D.; de Jager, B.; Steinbuch, M.; Hensen, R. 2004. 'Modeling and identification for high performance robot control: an RRR-robotic arm case study' IEEE Trans. Control Syst. Technol. 12(6), 904–919
  8. Krzysztof Kozlowski, 2012. 'Modelling and Identification in Robotics' Springer-London, ISBN-13: 9781447111399.
  9. Magdi. S. and A. Bahnsawi, 1994. ' Adaptive Model Following Controller for Robotic Manipulators' Int. J. Control. Vol.59, No.6, pp. ISSN: 1465-1483.
  10. K.H Ang, G. Chong and Y. Li, 2005. 'PID Control System Analysis, Design, and Technology' IEEE Transactions on Control Systems Technology, DOI: 10.1109/TCST.2005.847331, Vol. 13, No.4, pp. 559-576.
  11. Jazar, R.N. 2010. 'Theory of Applied Robotics' Springer US, Boston, doi:10.1007/978-1-4419-1750-8
  12. K.S. FU, R.C Gonzalez and C.S.G. Lee, 1987. ' Robotics: Control, Sensing, Vision, and Intelligence' McGraw-Hill Book Co., ISBN 10: 0070226253 ⁄ISBN 13: 9780070226258.
  13. Katsuhiko Ogata, 2009. ' Modern Control Engineering' Pearson; 5th edition ISBN-10: 0136156738, ISBN-13: 978-0136156734.
  14. Derek Rowell, 2002. 'State-Space Representation of LTI Systems'.
  15. J. G. Ziegler and N.B. Nichols, 1942. 'Optimum Settings for Automatic Controllers' Trans. ASME. 64(8): p. 759–768.
  16. G. H. Cohen and G. A. Coon, 1953. 'Theoretical Consideration of Retarded Control' Trans. ASME. 75: p. 827–834.
  17. Arunachalam, V. 2008. 'Optimization using differential evolution' ISBN 978-0-7714-2690-2
  18. H. M. Al-Qahtani, Amin A. Mohammed, M. Sunar, 2016. 'Dynamics and Control of a Robotic Arm Having Four Links' Arab J Sci Eng DOI 10.1007/s13369-016-2324-y
  19. Pawan Singh Yawan, Narinder Singh, 2015. 'Robust Control of Two Link Rigid Manipulator' International Journal of Information and Electronics Engineering DOI: 10.7763/IJIEE.V5.530 Vol 5, No. 3.
Index Terms

Computer Science
Information Sciences

Keywords

Dynamic modelling Three link rigid manipulator Lagrange-Euler PID controller Differential evolution