Cover
Vol. 17 No. 2 (2021)

Published: December 31, 2021

Pages: 151-165

Original Article

An ABC Optimized Adaptive Fuzzy Sliding Mode Control Strategy for Full Vehicle Active Suspension System

Abstract

This work presents a Fuzzy based adaptive Sliding Mode Control scheme to deal with control problem of full vehicle active suspension system and take into consideration the nonlinearities of the spring and damper, unmodeled dynamics as well as the external disturbances. The control law of fuzzy based adaptive Sliding Mode Control scheme will update the parameters of fuzzy sliding mode control by using the stability analysis of Lyapunov criteria such that the convergence in finite time and the stability of the closed loop are ensured. The proposed control scheme consists of four similar subsystems used for the four sides of the vehicle. The sub control scheme contains two loops, the outer loop is built using sliding mode controller with fuzzy estimator to approximate and estimate the unknown parameters in the system. In the inner loop, a controller of type Fractional Order PID (FOPID) is utilized to create the required actuator force. All parameters in the four sub control schemes are optimized utilizing Artificial Bee Colony (ABC) algorithm in order to improve the performance. The results indicate the effectiveness and good achievement of the proposed controller in providing the best ability to limit the vibration with good robustness properties in comparison with passive suspension system and using sliding mode control method. The controlled suspension system shows excellent results when it was tested with and without typical breaking and bending torques.

References

  1. N. S. Bhangal and K. A. Raj, “Fuzzy control of vehicle active suspension system”, International Journal of Mechanical Engineering and Robotics Research, vol. 5, no. 2, pp. 144-148, 2016.
  2. W. H. Al-Mutar and h Y Abdalla, “Quarter Car Active Suspension System Control Using PID Controller tuned by PSO”, Iraqi Journal for Electrical And Electronic Engineering ,vol.11, no.2, 2015
  3. D. Wang, D. Zhao, M. Gong and B. Yang, “Nonlinear predictive sliding mode control for active suspension system”, Shock and Vibration, vol. 2018, pp. 1-10, 2018.
  4. F. Beltran-Carbajal, A. Valderrabano-Gonzalez, A. Favela-Contreras, J. L. Hernandez-Avila, I. Lopez-Garcia and R. Tapia-Olvera, “An Active Vehicle Suspension Control Approach with Electromagnetic and Hydraulic Actuators”, Actuators, vol. 8, no. 2, pp. 1-18, 2019.
  5. S. D. Nguyen and Q. H. Nguyen, “Design of active suspension controller for train cars based on sliding mode control, uncertainty observer and neuro-fuzzy system”, Journal of Vibration and Control, vol. 23, no. 8, pp.1334-1353, 2017.
  6. A. K. Abdulzahra and T. Y. Abdalla, “Fuzzy Sliding Mode Control Scheme for Vehicle Active Suspension System Optimized by ABC Algorithm”, International Journal of Intelligent Systems and applications, vol. 11, no.12 , pp 1-10, 2019.
  7. S. D. Nguyen and S. B. Choi, “Design of a new adaptive neuro-fuzzy inference system based on a solution for clustering in a data potential field”, Fuzzy Sets and Systems, vol. 279, pp.64-86, 2015.
  8. S. D. Nguyen, Q. H. Nguyen, Q. H. and S. B. Choi, “Hybrid clustering based fuzzy structure for vibration control–Part 1: A novel algorithm for building neuro- fuzzy system”, Mechanical Systems and Signal Processing, vol. 50, pp. 510-525, 2015.
  9. A. K. Abdulzahra and T. Y. Abdalla, “Adaptive Fuzzy Super – Twisting Sliding Mode Controller optimized by ABC for Vehicle Suspension System”, Basrah Journal for engineering science, vol. 19, no.2, pp. 9-17, 2019.
  10. R. Hosseini, S. D. Qanadli, S. Barman, M. Mazinani, T. Ellis and J. Dehmeshii, “An automatic approach for learning and tuning Gaussian interval type-2 fuzzy membership functions applied to lung CAD classification system”, IEEE Transactions on Fuzzy Systems, vol. 20, no. 2, pp. 224-234, 2011.
  11. J. L. Yao, W. K. Shi, J. Q. Zheng and H. P. Zhou, “Development of a sliding mode controller for semi- active vehicle suspensions”, Journal of Vibration and Control, vol. 19, no. 8, pp.1152-1160, 2013.
  12. M. Khazaee, A. H. Markazi and E. Omidi, “Adaptive fuzzy predictive sliding control of uncertain nonlinear Abdul Zahra & Abdalla systems with bound-inown input delay”, ISA transactions, vol. 59, pp.314-324, 2015.
  13. N. Yagiz I. and Yuksek, “Sliding mode control of active suspensions for a full vehicle model”, International Journal of Vehicle Design, vol. 26, no. (2-3), pp. 264-276, 2001.
  14. A. Chamseddine, T. Raharijaona and H. Noura, “Sliding mode control applied to active suspension using nonlinear full vehicle and actuator dynamics”, In Proceedings of the 45th IEEE Conference on Decision and Control, IEEE, pp. 3597-3602, 2006.
  15. F. Ahmad, K. Hudha and F. Imaduddin, “Modelling, validation and adaptive PID control with pitch moment rejection of active suspension system for reducing unwanted vehicle motion in longitudinal direction”, International Journal of Vehicle Systems Modelling and Testing, vol. 5, no. 4, pp. 312-346, 2010.
  16. K. Kayisli and V. Karaman, “Sliding Mode Control of Vehicle Suspension System under Different Road Conditions”, International Journal of Engineering Science and Application, vol. 1, no. 2, pp. 72-77, 2017.
  17. A. M. Soliman, M. M. Kaldas, D. C. Barton and P. C. Brooks, “Fuzzy-skyhook control for active suspension systems applied to a full vehicle model”, International Journal of Engineering and Technology Innovation, vol. 2, no. 2, pp. 85-96, 2012.
  18. A. K. Abdulzahra and T. Y. Abdalla, “Design of Fuzzy Super Twisting Sliding Mode Control Scheme for Unknown Full Vehicle Active Suspension Systems Using an Artificial Bee Colony Optimization Algorithm”, Asian Journal of Control, vol. 23, no. 4, pp. 1966-1981, 2021.
  19. R. Darus and Y. M. Sam, “Modeling and control active suspension system for a full car model”, In 2009 5th International Colloquium on Signal Processing & Its Applications, IEEE, pp. 13-18, 2009.
  20. S. Yun and W. Guangqiang, “Study on optimal control of complete vehicle model with 7 degrees of freedom active suspension”, Automobile technology, vol. 6, pp. 12- 16, 2007.
  21. W. Sun, H. Pan, Y. Zhang and H. Gao, “Multi- objective control for uncertain nonlinear active suspension systems”, Mechatronics, vol. 24, no. 4, pp. 318-327, 2014.
  22. R. Guclu, “Fuzzy logic control of seat vibrations of a non-linear full vehicle model”, Nonlinear Dynamics, vol. 40, no. 1, pp. 21-34, 2005.
  23. L. Sun and Z. Zheng, “ Finite-time sliding mode trajectory tracking control of uncertain mechanical systems”, Asian Journal of Control, vol. 19, no. 1, pp. 399–404, 2017.
  24. H. Pan, W. Sun, H. Gao and J. Yu, “Finite-time stabilization for vehicle active suspension systems with hard constraints”, IEEE transactions on intelligent transportation systems, vol. 16, no. 5, pp. 2663-2672, 2015.
  25. B. Lin, X. Su and X. Li, “Fuzzy Sliding Mode Control for Active Suspension System with Proportional Differential Sliding Mode Observer”, Asian Journal of Control, vol. 21, no. 1, pp. 264-276, 2019.
  26. Y. Sun, J. Xu, H. Qiang and G. Lin, “Adaptive neural- fuzzy robust position control scheme for maglev train systems with experimental verification”, IEEE Transactions on Industrial Electronics, vol. 66, no. 11, pp.8589-8599, 2019.
  27. X. Q. Sun, Y. F. Cai, C. C. Yuan, S. H. Wang and L. Chen, “Fuzzy sliding mode control for the vehicle height and leveling adjustment system of an electronic air suspensión”, Chinese Journal of Mechanical Engineering, vol. 31, no. 1, p.25, 2018.
  28. S. D. Nguyen, S. B. Choi and Q. H. Nguyen, “A new fuzzy-disturbance observer-enhanced sliding controller for vibration control of a train-car suspension with magneto-rheological dampers”, Mechanical Systems and Signal Processing, vol. 105, pp.447-466, 2018.
  29. S. Wen, M. Z. Chen, Z. Zeng, X. Yu, and T. Huang, “Fuzzy control for uncertain vehicle active suspension systems via dynamic sliding-mode approach”, IEEE Transactions on Systems, Man, and Cybernetics: Systems, vol. 47, no. 1, pp. 24-32, 2017.
  30. M. A. Khanesar, O. Kaynak, S. Yin and H. Gao, “Adaptive indirect fuzzy sliding mode controller for networked control systems subject to time-varying network-induced time delay”, IEEE Transactions on Fuzzy Systems, vol. 23, no. 1, pp.205-214, 2014.
  31. C. P. Cheng, C. H. Chao and T. H. S. Li, “Design of observer-based fuzzy sliding-mode control for an active suspension system with full-car model”, In 2010 IEEE International Conference on Systems, Man and Cybernetics, IEEE, pp. 1939-1944, 2010.
  32. S. J. Huang and H. Y. Chen, “Adaptive sliding controller with self-tuning fuzzy compensation for vehicle suspension control”, Mechatronics, vol. 16, no. 10, pp. 607-622, 2006.
  33. C. Lauwerys, J. Swevers and P. Sas, “Robust linear control of an active suspension on a quarter car test- rig”, Control engineering practice, vol. 13, no. 5, pp. 577-586, 2005.
  34. P. Sathishkumar, J. Jancirani, D. John and S. Manikandan, “Mathematical modelling and simulation quarter car vehicle suspension”, International Journal of Innovative Research in Science, Engineering and Technology, vol. 3, no. 1, pp. 1280-1283, 2014.
  35. A. A. Aldair, “Neurofuzzy controller based full vehicle nonlinear active suspension systems”, Ph D dissertation, University of Sussex, 2012. Abdul Zahra & Abdalla | 165
  36. T. Y. Abdalla, H. A. Hairik and A. M. Dakhil, “Minimization of toruue ripple in DhC of induction motor using fuzzy mode duty cycle controller”, 1st International Conference on Energy, Power and Control (EPC-IQ), IEEE, Iraq, pp. 237-244, 2010.
  37. Z. T. Allawi and T. Y. Abdalla, “A PSO-optimized type-2 fuzzy logic controller for navigation of multiple mobile robots”, 19th International conference on methods and models in automation and robotics (MMAR), IEEE, pp. 33-39, 2014.
  38. M. I. Hamzah and T. Y. Abdalla, “Mobile Robot Navigation using Fuzzy Logic and Wavelet Networi”, International Journal of Robotics and Automation (IJRA), vol. 3, no. 3, pp. 191-200, 2014.
  39. W. H. Al-Mutar and T. Y. Abdalla, “Quarter car active suspension system control using fuzzy controller tuned by pso”, International Journal of Computer Applications, vol. 127, no. 2, pp. 38-43, 2015.
  40. T. Y. Abdalla and A. A. Abdulkareem, “PSO optimized fuzzy control scheme for mobile robot path tracking”, International Journal of Computer Applications, vol. 76, no. 2, pp. 11-17, 2013.
  41. Z. T. Allawi and T. Y. Abdalla, “An optimal defuzzification method for interval type-2 fuzzy logic control scheme”, Science and Information Conference (SAI), IEEE, pp. 619-627, 2015.
  42. J. Liu, “Sliding Mode Control Using MAhLAB”, Academic Press, 2017.
  43. S. Gad, H. Metered, A. Bassuiny and A. M. Abdel Ghany, “Multi-objective genetic algorithm fractional- order PID controller for semi-active magnetorheologically damped seat suspension”, Journal of Vibration and Control, vol. 23, no. 8, pp.1248-1266, 2017.
  44. M. Zamani, M. Karimi-Ghartemani and N. Sadati, “FOPID controller design for robust performance using particle swarm optimization”, Fractional Calculus and Applied Analysis, vol. 10, no. 2, pp.169-187, 2007.
  45. Z. Bingul and O. Karahan, “Comparison of PID and FOPID controllers tuned by PSO and ABC algorithms for unstable and integrating systems with time delay”, Optimal Control Applications and Methods, vol. 39, no. 4, pp.1431-1450, 2018.
  46. T. Y. Abdalla, “Adaptive Fuzzy FOPID Control Scheme for Path tracking of Mobile Robot”, International Journal of Computer Applications, vol.181, no.22, pp.1-5, 2018.
  47. D. Karaboga, “An idea based on honey bee swarm for numerical optimization”, Technical report-tr06, Erciyes university, engineering faculty, computer, vol. 200, pp. 1-10, 2005.
  48. W. Liao, Y. Hu and H. Wang, “Optimization of PID control for DC motor based on artificial bee colony algorithm”, In Proceedings of the 2014 International Conference on Advanced Mechatronic Systems, IEEE, pp. 23-27, 2014.
  49. A. A. Aldair, E. B. Alsaedee and T. Y. Abdalla, “Design of ABCF Control Scheme for Full Vehicle Nonlinear Active Suspension System with Passenger Seat”, Iranian Journal of Science and Technology, Transactions of Electrical Engineering, vol. 43, no. 1, pp. 289-302, 2019.
  50. G. Yan and C. Li, “An effective refinement artificial bee colony optimization algorithm based on chaotic search and application for pid control tuning”, Journal of Computational Information Systems, vol. 7, no. 9, pp. 3309-3316, 2011.
  51. B. H. Adebiyi, M. B. Mu’azu, A. M. S. Tekanyi, A. T. Salawudeen and R. F. Adebiyi, “Knowledge-Based Artificial Bee Colony Algorithm for Optimization Problems”, Journal of Engineering Research, vol. 22, pp. 1-13, 2017.