An MR Damper Parametric Model with luz(...) Projection Function and Its Application in an Open-loop Force Tracking Control System

Raymundus Lullus Lambang Govinda Hidajat, Fitrian Imaduddin, Budi Santoso, Irianto Irianto, Azma Putra, Ubaidillah Ubaidillah

Abstract

This research discusses a parametric model with a luz(...) projection function for an outer bypass Magnetorheological (MR) damper with a meandering type valve and its application in an open-loop force tracking control system. This parametric model with the luz(…) projection function has been developed previously. The MR damper force can be controlled with open-loop force as a standard control strategy. Research on the performance of the MR damper model in open-loop control systems usually uses non-parametric models. Thus, the novelty of this research is that it uses a parametric model, i.e., the model of the luz(...) projection function as the model of the outer bypass MR damper with a meandering type valve. The proposed open-loop control system uses an inverse model that produces an electric current according to the desired force. The force tracking control scheme was realized with computer simulations using a state space approach. These simulation results show that the model with the luz(…) projection function can efficiently and accurately track the desired force in an open-loop force-tracking control system. The desired force is sinusoidal, square, and sawtooth waveform. Relative Error (RE) of 0.000, 0.0123, and 0.0563, respectively, are achieved. 

Full Text:

PDF

References

  1. C. Y. Lai and W. H. Liao, "Vibration control of a suspension system via a magnetorheological fluid damper," J. Vib. Control, vol. 8, no. 4, pp. 527-547, 2002.
  2. Y. Li and J. Li, "Dynamic characteristics of a magnetorheological pin joint for civil structures," Front. Mech. Eng., vol. 9, no. 1, pp. 15-33, 2014.
  3. H. J. Jung, B. F. Spencer, Y. Q. Ni, and I. W. Lee, "State-of-the-art of semiactive control systems using MR fluid dampers in civil engineering applications," Struct. Eng. Mech., vol. 17, no. 3-4, pp. 493-526, 2004.
  4. S. B. Choi, Y. T. Choi, and D. W. Park, "A sliding mode control of a full-car electrorheological suspension system via hardware in-the-loop simulation," J. Dyn. Sys. Meas. Control., vol. 122, no. 1, pp. 114-121, 2000.
  5. F. Imaduddin, A novel magnetorheological valve with meandering flow path structure, Johor: Universiti Teknologi Malaysia, 2015.
  6. F. Imaduddin, S. A. Mazlan, Ubaidillah, M. H. Idris, and I. Bahiuddin, "Characterization and modeling of a new magnetorheological damper with meandering type valve using neuro-fuzzy," J. King Saud Univ. Sci., vol. 29, no. 4, pp. 468-477, 2017.
  7. B. F. Spencer, S. J. Dyke, M. K. Sain, and J. D. Carlson, "Phenomenological Model for Magnetorheological Dampers," J. Eng. Mech., vol. 123, no. 3, pp. 230-238, 1997.
  8. N. M. Wereley, L. Pang, and G. M. Kamath, "Idealized hysteresis modeling of electrorheological and magnetorheological dampers," J. Intell. Mater. Sys. Struct., vol. 9, no. 8, pp. 642–649, 1998.
  9. D. H. Wang, and W. H. Liao, "Magnetorheological fluid dampers: A review of parametric modelling," Smart Mater. Struct., vol. 20, article no. 023001, 2011.
  10. D. Zardecki, "Piecewise linear luz(...) and tar(...) projections Part 1 Theoretical background," J. Theor. Appl. Mech., vol. 1, no. 44 pp. 163-184, 2006.
  11. D. Zardecki, "Piecewise linear luz(...) and tar(...) projections. Part 2 - Application in Modelling of dynamic system with freeplay and friction," J. Theor. Appl. Mech., vol. 1, no. 44, pp. 185-202, 2006.
  12. J. Rabinow, "The Magnetic Fluid Clutch," Electr. Eng., vol. 67, no. 12, article no. 1167, 1948.
  13. J. D. Carlson and M. R. Jolly, "MR fluid, foam and elastomer devices," Mechatron., vol. 10, no. 1, pp. 555-569, 2000.
  14. M. B. Cesar and R. D. Barros, "Properties and Numerical Modeling of MR Dampers," in ICEM15: 15Th International Conference on Experimental Mechanics, Porto, Portugal, 2012.
  15. B. Ichwan, S. A. Mazlan, F. Imaduddin, T. Koga, and M. H. Idris, "Development of a modular MR valve using meandering flow path structure," Smart Mater. Struct., vol. 25, no. 3, article no. 37001, 2016.
  16. F. Imaduddin, S. A. Mazlan, M. A. A. Rahman, H. Zamzuri, Ubaidillah, and B. Ichwan, "A high performance magnetorheological valve with a meandering flow path," Smart Mater. Struct., vol. 23, no. 6, article no. 065017, 2014.
  17. F. Imaduddin, S. A. Mazlan, Ubaidillah, H. Zamzuri, and A. Y. A. Fatah, "Testing and parametric modeling of magnetorheological valve with meandering flow path," Nonlinear Dyn., vol. 85, no. 1, pp. 287-302, 2016.
  18. N. H. D. Nordin, A. G. A. Muthalif, M. K. M. Razali, A. Ali, and A. M. Salem, "Development and Implementation of Energy-Efficient Magnetorheological Fluid Bypass Damper for Prosthetics Limbs Using a Fuzzy-Logic Controller," Inst. Electr. Electron. Eng. Access, vol. 10, pp. 18978-18987, 2022.
  19. Shimadzu, Fatigue and Endurance Testing Systems Shimadzu Servopulser: 26, Kyoto: Shimadzu Corp., 2014.
  20. R. Stanway, J. L. Sproston, and N. G. Stevens, "Non-linear modelling of an electro-rheological vibration damper," J. Electrost., vol. 20, no. 1, pp. 167-184, 1987.
  21. S. Sharma, "Vibration Control in Quarter-Car Model with Magnetorheological (MR) Dampers Using Bingham Model," J. Appl. Mech. Eng., vol. 7, no. 1, article no. 1000299, 2018.
  22. D. Zardecki and A. Dębowski, "Non-smooth models and simulation studies of the suspension system dynamics basing on piecewise linear luz(…) and tar(…) projections," Appl. Math. Model., vol. 94, pp. 619-634, 2021.
  23. S. B. Choi, S. K. Lee, and Y. P. Park, "A hysteresis model for the field-dependent damping force of a magnetorheological damper," J. Sound Vib., vol. 245, no. 2, pp. 375-383, 2001.
  24. R. L. L. G. Hidayat, Wibowo, B. Santoso, F. Imaddudin, and Ubaidillah, "Selection of MR damper model suitable for SMC applied to semi-Active suspension system by using similarity measures," Open Eng., vol. 12, no. 1, pp. 1005-1012, 2022.
  25. L. B. V. D. Amorim, G. D. C. Cavalcanti, and R. M. O. Cruz, "The choice of scaling technique matters for classification performance," Appl. Soft. Comp., vol. 133, article no. 109924, 2022.
  26. S. Lee, and S. Shin, "Gait signal analysis with similarity measure,” Sci. World J., vol. 2014, article no. 136018, 2014.
  27. S. Chen, B. Ma, and K. Zhang, "On the similarity metric and the distance metric," Theory Comp. Sci., vol. 410, no. 24-25, pp. 2365-2376, 2009.

DOI: https://doi.org/10.20961/mekanika.v23i2.90437

Refbacks

  • There are currently no refbacks.