Journal of Applied Science and Engineering

Published by Tamkang University Press


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Zhong-Xing Li1, Jian-Yu Huang This email address is being protected from spambots. You need JavaScript enabled to view it.1, Hong Jiang2 and Hong-Tao Xue1

1School of Automotive and Traffic Engineering, Jiangsu University, Zhenjiang 212013, P.R. China
2School of Mechanical Engineering, Jiangsu University, Zhenjiang 212013, P.R. China


Received: August 31, 2017
Accepted: March 30, 2018
Publication Date: June 1, 2018

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To improve the performance of vehicles equipped with laterally interconnected air suspension (LIAS), a damper system is constructed based on multi-agent theory and Shapley value principle of cooperative game. The multi-agent control system consists of an information fusion agent, a ride comfort agent, a handling stability agent and a game coordination agent. The information fusion agent obtains vehicle status information from environment, and carries out the information transmission according to the requirements of other agents; on the basis of suspension dynamic deflection and its changing rate, the ride comfort agent indicates the intention of damping coefficients. The handling stability agent triggers the reasoning module according to the current interconnection state information, and indicates the intention of the damping coefficients by the vehicle roll angle, in which, the reasoning module is formed by the self-learning of fuzzy neural networks according to the damping coefficients optimized by genetic algorithm. The game coordination agent receives the intention of the damping coefficients from the above agents, then corrects the damping intention through the rules of cooperative game,and outputs the global optimum damping coefficients. Based on a bench test, a simulation model is established to perform the effectiveness of the multi-agent damper system proposed in this paper. The results have verified that the proposed multi-agent damper system not only improves ride comfort of vehicle with LIAS, but also restrains the roll motion of the vehicle body.

Keywords: Laterally Interconnected Air Suspension (LIAS), Multi-agent, Cooperative Game, Genetic Algorithm, Fuzzy Neural Network


  1. [1] Davis, L. and Bunker, J., “Dynamic Load Sharing in Heavy Vehicle Suspensions,” Modern Traffic and Transportation Engineering Research, Vol. 3, No. 1,
    pp. 16 (2014).
  2. [2] Eskandary, P. E., Interconnected Air Suspensions with Independent Height and Stiffness Tuning, Master’s Desertation, University of Waterloo, Canada (2014).
  3. [3] Jiang, H., Yang, Y. F. and Yu, P. F., “Vehicle Height Adjustment of Closed-loop Air Circuit Laterally Interconnected Air Suspension System,”Journal of Beijing University of Aeronautics and Astronautics, Vol. 41, No. 11, pp. 20102016 (2015).
  4. [4] Li, Z. X., Cui, Z., Xu, X. and Qiu, Y. D., “Characteristics of Ride Comfort and Torsion Elimination of Fourcorner Interconnected Air Suspension System,” Science Technology and Engineering, Vol. 14, No. 14, pp. 8286 (2014).
  5. [5] Wolf-Monheim, F., Schrüllkamp, T. and Loos, S., “Interlinked Air Suspension Systems,” ATZ Auto Technology, Vol. 9, No. 3, pp. 5861 (2009).
  6. [6] Wolf-Monheim, F., Frantzen, M. and Seemann, M., “Modeling, Testing and Correlation of Interlinked Air Suspension Systems for Premium Vehicle Platforms,” Proceedings of 32nd FIS: ITA Congress, Munich Germany, September, No. 40, pp. 18 (2008).
  7. [7] Fang, R. H., Xie, Y. Q. and Lei, Y. C., “Air Suspension Technology and Developing Trend,” Journal of Tongji University, Vol. 31, No. 9, pp. 10721073 (2003).
  8. [8] Kat, C. J. and Pieter, S. E., “Interconnected Air Spring Model,” Mathematical and Computer Modelling of Dynamical Systems, Vol. 15, No. 4, pp. 353370 (2009). doi: 10.1080/13873950902955783
  9. [9] Li, Z. X., Xu, R. Z. and Jiang, H., “Roll Stiffness Optimization for Anti-roll Bar in Interconnected Air Suspension,” Journal of Applied Science and Engineering, Vol. 19, No. 3, pp. 293302 (2016). doi: 10.6180/jase. 2016.19.3.07
  10. [10] Li, Z. X., Ju, L. Y., Jiang, H., Xu and Li, M., “Experimental and Simulation Study on the Vibration Isolation and Torsion Elimination Performances of Interconnected Air Suspensions,” Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering, Vol. 230, No. 5, pp. 679691 (2016). doi: 10.1177/0954407015591664
  11. [11] Qian, K., Analysis on Dynamic Characteristics of Interconnected Air Suspension and Its Effects on Full Vehicle Vibration Performance, Master’s Desertation, Jiangsu University, Zhenjiang, China (2016).
  12. [12] Friedrich, W. M., Mathias, S. and Michael, F., “Interconnected Air Suspension Systems: the Influence on Ride Comfort in Testing and Simulation,” ATZ Auto Technology, Vol. 9, No. 14, pp. 5861 (2009).
  13. [13] Ioannidou, D., Filosoglou, A., Nastou, M., Blougoura, E., Macrakis, V., Margaritou, A. and Petropoulou, P., “H Control of a Novel Low-cost Roll-plane Active Hydraulically Interconnected Suspension: an Experimental Investigation of Roll Control under Ground Excitation,” SAE International Journal of Passenger Cars - Mechanical Systems, Vol. 6, No. 2, pp. 882893 (2013). doi: 10.4271/2013-01-1238
  14. [14] Davis, L. and Bunker, J., “Altering Heavy Vehicle Air Suspension DynamicForces by Modifying Air Lines,” International Journal of Heavy Vehicle Systems, Vol. 18, No. 1, pp. 117 (2011). doi: 10.1504/IJHVS.2011. 037957
  15. [15] Davis, L. and Bunker, J., “Heavy Vehicle Suspension Testing and Analysis: Dynamic Load Sharing,” 31st Australasian Transport Research Forum, pp. 544561 (2009).
  16. [16] Cui, Z., Study on the Performance of Semi-active Laterally Interconnected Air Suspension and Its Hierarchical Control, Master’s Desertation, Jiangsu University, Zhenjiang (2014).
  17. [17] Ju, L. Y., Dynamic Characteristic Analysis and Intimated Skyhook Control Theory of Laterally Interconnected Air Suspension, PhD’s Desertation, Jiangsu University, Zhenjiang, China (2016).
  18. [18] Wang, X. H. and Chen, T. F., “Application of Intelligent Public Transportation Dispatch System Based on Agent,” Journal of Central South University (Science and Technology), Vol. 44, No. 8, pp. 35393545 (2013).
  19. [19] Tao, X. L. and Zheng, Y. B., “ALevel Task Allocation Method for Multiple-agents,” Journal of Computational Information Systems, Vol. 9, No. 2, pp. 813820 (2013).
  20. [20] Monica, S. and Bergenti, F., “Outline of a Generalization of Kinetic Theory to Study Opinion Dynamics,” Distributed Computing and Artificial Intelligence, 14th International Conference, Vol. 620, pp. 301308 (2017). doi: 10.1007/978-3-319-62410-5_37
  21. [21] Niu, L. M., Ye, L. J. and Ruan, X. D., “Agent Control Technology for Hybrid Electric Vehicle Multi-energy Powertrain,” Journal ofShanghai Jiaotong University, Vol. 49, No. 8, pp. 11081113 (2015).
  22. [22] Erotokritos, X., Charalampos,M. and Liana, M. C., “A Multi-agent Based scheduling Algorithm for Adaptive ElectricVehiclesCharging,” Applied Energy,Vol. 177, No. 1, pp. 354365 (2016). doi: 10.1016/j.apenergy. 2016.05.034
  23. [23] Alavi, S. M. and Zhou, C., “Resource Allocation Scheme for Orthogonal Frequency Division Multiple Access Networks Based on Cooperative Game Theory,” International Journal of Communication Systems, Vol 27, No. 8, pp. 11051125 (2014). doi: 10. 1002/dac.2398
  24. [24] Wang, H. B., Chen, W. W., Yang, L. Q. and Xia, G., “Coordinated Control of Vehicle Chassis System Based on Game Theory and Function Distribution,” Journal of Mechanical Engineering, Vol. 48, No. 22, pp. 105 112 (2012). doi: 10.3901/JME.2012.22.105
  25. [25] Karnopp, D., Crosby, M. J. and Hardwood, R. A., “Vibration Control Using Semi-active Force Generators,” Journal ofEngineering forIndustry,Vol.96, No. 2, pp. 619626 (1975). doi: 10.1115/1.3438373
  26. [26] Hu, B., Research on the Control Strategy of Semi-active Suspension Based on Magnetorheological Dampers, Master’s Desertation, Zhejiang University, Zhejiang (2017). doi: 10.1007/978-1-84800-231-9_6
  27. [27] Choe, W. W., “Intelligent PID Controller and Its Application to Structural Vibration Mitigation with MR Damper,” Transactions of the Korean Institute of Electrical Engineers, Vol. 64, No. 8, pp. 12241230 (2015). doi: 10.5370/KIEE.2015.64.8.1224
  28. [28] Yu, Z. S., Automobile Theory,5 st ed., Beijing, China, pp. 216217 (2009).