Cover
Vol. 19 No. 2 (2023)

Published: December 31, 2023

Pages: 54-61

Original Article

Improving the Dynamic Response of Half-Car Model using Modified PID Controller

Mustafa Mohammed Matrood 1 Ameen Ahmed Nassar 2
1Department of Mechanical Engineering, College of Engineering, University of Basrah, Basra, Iraq
2Basra Oil Company, Seawater Department, Basra, Iraq
History
  • Received: February 5, 2023
  • Revised: April 3, 2023
  • Accepted: April 8, 2023
  • Available Online: April 8, 2023
DOI

https://doi.org/10.37917/ijeee.19.2.7

Abstract

This paper focuses on the vibration suppression of a half-car model by using a modified PID controller. Mostly, car vibrations could result from some road disturbances, such as bumps or potholes transmitted to a car body. The proposed controller consists of three main components as in the case of the conventional PID controller which are (Proportional, Integral, and Derivative) but the difference is in the positions of these components in the control loop system. Initially, a linear half-car suspension system is modeled in two forms passive and active, the activation process occurred using a controlled hydraulic actuator. Thereafter, the two systems have been simulated using MATLAB/Simulink software in order to demonstrate the dynamic response. A comparison between conventional and modified PID controllers has been carried out. The resulting dynamic response of the half-car model obtained from the simulation process was improved when using a modified PID controller compared with the conventional PID controller. Moreover, the efficiency and performance of the half-car model suspension have been significantly enhanced by using the proposed controller. Thus, achieving high vehicle stability and ride comfort.

Keywords

References

  1. R. Rajamani, “Vehicle dynamics and control second ed.,” Springer, New York Dordrecht Heidelberg 2012.
  2. P. S. Kumar, K. Sivakumar, R. Kanagarajan, and S. Ku- beran, “Adaptive neuro fuzzy inference system control of active suspension system with actuator dynamics,” Jour- nal of microengineering, vol. 20, no. 1, pp. 541–549, 2018.
  3. F. Hasbullah and W. F. Faris, “Simulation of disturbance rejection control of active half-car active suspension sys- tem using active disturbance rejection control with de- coupling transformation,” 4thInt. conf. on mathematical applications in engineering. J. Phys., vol. 949, pp. 1–20, 2017.
  4. Y. J. Liang, N. Li, D. X. Gao, and Z. S. Wang, “Optimal vibration control for nonlinear systems of tracked vehicle half-car suspension,” Int. J. Control Autom. Syst., vol. 15, no. 4, pp. 1675–1683, 2017.
  5. A. Pati, S. Singh, and R. Negi, “Sliding mode controller design using pid sliding surface for half car suspen- sion system,” Students conf. on engineering and systems IEEE, pp. 1–6, 2014.
  6. P. Gandhi, A. S, and K. I. Ramachandran, “Performance analysis of half car suspension model with 4 dof using pid, lqr, fuzzy and anfis controllers,” 7th Int. conf. on advances in computing and communication, vol. 115, pp. 2–13, 2017.
  7. S. Zhu, H. Du, and N. Zhang, “Development and imple- mentation of fuzzy, fuzzy pid and lqr controllers for a roll - plane active hydraulically interconnected suspen- sion,” Int. conf. on fuzzy systems,IEEE, pp. 2017–2024, 2014.
  8. D. R. Guevara, A. F. Contreras, F. B. Carbajal, C. Sotelo, and D. Sotelo, “An mpc-lqr -lpv controller with quadratic stability conditions for a nonlinear half-car active suspension system with electro-hydraulic actua- tors,” Int. J. Machines, vol. 10, no. 2, pp. 1–18, 2022.
  9. H. Khodadadi and H. Ghadiri, “Self - tuning pid con- troller design using fuzzy logic for half car active sus- pension system,” Int. J. Dynam. Control, vol. 6, no. 3, pp. 224–232, 2016.
  10. J. D. Ekoru and J. Pedro, “Proportional – integral –derivative control of nonlinear half-car electro - hy- draulic suspension system,” J. Zhejiang Univ-Sci A (Appl Phys and Eng), vol. 14, no. 6, pp. 401–416, 2013.
  11. Y. Nan, W. Shi, and P. Fang, “Improvement of ride per- formance with an active suspension based on fuzzy logic control,” Journal of vibroengineering, vol. 18, no. 6, pp. 3941–3955, 2016.
  12. A. Yildiz, “Optimum suspension design for non – linear half vehicle model using particle swarm optimization (pso) algorithm,” Vibroengineering procedia, vol. 27, pp. 43–48, 2019.
  13. Y. Susatio, L. Oktaviana, R. N. K., E. Listijorini, and T. R. Biyanto, “Design of half - active suspension system for passenger riding comfort,” Regional conference on acoustics and vibration, pp. 1–6, 2018.
  14. L. F´elix-Herr´an, D. Mehdi, J. d. J. Rodr´ıguez-Ortiz, V. H. Benitez, R. A. Ramirez-Mendoza, and R. Soto, “Disturbance rejection in a one-half semiactive vehicle suspension by means of a fuzzy-h controller,” Shock and Vibration, vol. 2019, 2019.
  15. G. Mustafa, H. Wang, and Y. Tian, “Optimized fast termi- nal sliding mode control for a half-car active suspension system,” Int. J Automot. Technol., vol. 21, pp. 805–812, 2020.
  16. M. Khan, M. Abid, N. Ahmed, A. Wadood, and H. Park, “Nonlinear control design of a half-car model using feed- back linearization and an lqr controller,” Int. J. Appl. Sci., vol. 10, no. 9, pp. 1–17, 2020.
  17. J. O. Pedro and N. Baloyi, “Design of direct adaptive controller for a half-car suspension system,” Africon proceedings, IEEE, pp. 467–472, 2017.
  18. M. H. A. Shaban, I. M. Abuhadrous, and M. B. Sabra, “A new fuzzy control strategy for active suspensions applied to a half car model,” J. Mechatron, vol. 1, no. 2, pp. 1–7, 2013. 61 | Matrood & Nassar
  19. M. Avesh and R. Srivastava, “Modeling simulation and control of active suspension system in matlab simulink environment,” Students conference on engineering and systems, IEEE, 2012.
  20. L. G. Rao and S. Narayanan, “Optimal response of half car vehicle model with sky-hook damper based on lqr control,” Int. J. Dynam. Control, vol. 8, no. 2, pp. 488– 496, 2020.
  21. W. Lan and E. Ni, “Design of fuzzy-pid controller for ride comfort enhancement of a half-car vehicle with ac- tive suspension system,” Appl. Mech. Mater. J., vol. 313, pp. 382–386, 2013.
  22. A. H. Mohamed, D. Abidou, and S. A. Maged, “Lqr and pid controllers’ performance on a half car active suspension system, international mobile, intelligent, and ubiquitous,” computing conference, IEEE, pp. 48–53, 2021.
  23. J. Wu and Z. Liu, “Piecewise affine h control of half–car magneto-rheological suspension systems,” Int. feder- ation of automatic control hosting, vol. 51, no. 31, pp. 967–972, 2018.
  24. V. Kumar and K. S. Rana, “Some investigations on hy- brid fuzzy ipd controllers for proportional and derivative kick suppression,” Int. J. Autom. Comput., vol. 13, no. 5, pp. 516–528, 2016.
  25. K. Ogata, “Modern control engineering,” Fifth ed. Pren- tice Hall, 2010.
  26. V. Diep, P. Hung, and N. Su, “I-pd controller design based on robust view point,” 2nd Int. conf. of intelligent robotic and control engineering, IEEE, pp. 27–31, 2019.
  27. S. P. SJ, D. Selvakarthi, and C. Aravind, “Set point tracking and load disturbance rejection with pid and i-pd controllers in different zones of barrel heating system,” International Journal of ChemTech research, vol. 12, no. 03, pp. 109–113, 2019.