Log in

Design and Control of an Automotive Variable Hydraulic Damper Using Cuckoo Search Optimized Pid Method

  • Published:
International Journal of Automotive Technology Aims and scope Submit manuscript

Abstract

The semi-active suspension (SAS) system has been one of the most attractive topics due to its simplicity and effectiveness in the control of vehicle dynamics. This research proposes a cuckoo search optimized proportional-integral-derivative (CS-PID) strategy for the dam** force control of the semi-acive suspension system in order to improve vehicle ride quality. Firstly, a quarter-car suspension model with air spring and variable hydraulic damper (VHD) is developed. By constructing the detailed analytical model and describing the working process, the regulating mechanism and external characteristics of the VHD are presented. Subsequently, the CS-PID strategy is designed to generate the desired dam** force according to the vehicle states in real-time, followed with the evaluation of the proposed strategy. Finally, the experimental tests are carried out to verify the accuracy of the VHD model and examine the feasibility of the proposed strategy. The numerical simulation reveal that the proposed control strategy is effective in improving the vehicle performance and the experimental results show that the CS-PID strategy can be successfully implemented in the suspension system for practical use.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price includes VAT (Germany)

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Dash, P., Saikia, L. C. and Sinha, N. (2014). Comparison of performances of several Cuckoo search algorithm based 2DOF controllers in AGC of multi-area thermal system. Int. J. Electrical Power & Energy Systems, 55, 429–436.

    Article  Google Scholar 

  • Guo, J., Luo, Y. and Li, K. (2017). An adaptive hierarchical trajectory following control approach of autonomous four-wheel independent drive electric vehicles. IEEE Trans. Intelligent Transporation Systems, 99, 1–11.

    Google Scholar 

  • Guo, J., Luo, Y. and Li, K. (2018a). Robust gainshceduling automatic steering control of unmanned ground vehicles under velocity-varying motion. Vehicle System Dynamics: Int. J. Vehicle Mechanics and Mobility, DOI: https://doi.org/10.1080/00423114.2018.1475677.

    Google Scholar 

  • Guo, J. H., Luo, Y. G., Li, K. Q. and Dai, Y. F. (2018b). Coordinated path-following and direct yaw-moment control of autonomous electric vehicles with sideslip angle estimation. Mechanical Systems and Signal Processing, 105, 183–199.

    Article  Google Scholar 

  • Hu, C., Wang, R., Yan, F., Chadli, M., Huang, Y. and Wang, H. (2017a). Robust path-following control for a fully actuated marine surface vessel with composite nonlinear feedback. Trans. Institute of Measurement and Control, 40, 12, 3477–3488.

    Article  Google Scholar 

  • Hu, C., Wang, R. R., Yan, F. J., Huang, Y. J., Wang, H. and Wei, C. F. (2018). Differential steering based yaw stabilization using ISMC for independently actuated electric vehicles. IEEE Trans. Intelligent Transportation Systems, 19, 2, 627–638.

    Article  Google Scholar 

  • Hu, Y. L., Chen, M. Z. Q. and Sun, Y. H. (2017b). Comfortoriented vehicle suspension design with skyhook inerter configuration. J. Sound and Vibration, 405, 34–47.

    Article  Google Scholar 

  • Huang, W., Wong, P. K., Zhao, J. and Ma, X. B. (2018). Output-feedback model-reference adaptive calibration for map-based anti-jerk control of electromechanical automotive clutches. Int. J. Adaptive Control and Signal Processing, 32, 2, 265–285.

    Article  MathSciNet  MATH  Google Scholar 

  • Li, P., Lam, J. and Cheung, K. C. (2017a). H∞ control of periodic piecewise vibration systems with actuator saturation. J. Vibration and Control 23, 20, 3377–3391.

    Article  MathSciNet  MATH  Google Scholar 

  • Li, P., Lam, J. and Cheung, K. C. (2017b). Motion-based active disturbance rejection control for a non-linear fullcar suspension system. Proc. Institution of Mechanical Engineers, Part D: J. Automobile Engineering 232, 5, 616–631.

    Google Scholar 

  • Li, P., Lam, J., Kwok, K. W. and Lu, R. (2018). Stability and stabilization of periodic piecewise linear systems: A matrix polynomial approach. Automatica, 94, 1–8.

    Article  MathSciNet  MATH  Google Scholar 

  • Ma, X., Wong, P. K. and Zhao, J. (2018a). Adaptive regulating of automotive mono-tube hydraulic adjustable dampers using grey neural network-based compensation system. Proc. Institution of Mechanical Engineers, Part D: J. Automobile Engineering, In Press.

    Google Scholar 

  • Ma, X., Wong, P. K. and Zhao, J. (2018b). Practical multiobjective control for automotive semi-active suspension system with nonlinear hydraulic adjustable damper. Mechanical System and Signal Processing, DOI: https://doi.org/10.1016/j.ymssp.2018.08.022.

    Google Scholar 

  • Ma, X. B., Wong, P. K. and Zhao, J. (2018c). Cornering stability control for vehicles with active front steering system using T-S fuzzy based sliding mode control strategy. Mechanical System and Signal Processing, DOI: https://doi.org/10.1016/j.ymssp.2018.05.059.

    Google Scholar 

  • Ma, X. B., Wong, P. K., Zhao, J. and **e, Z. C. (2017). Multi-objective sliding mode control on vehicle cornering stability with variable gear ratio actuator-based active front steering systems. Sensors, 17, 1, 49.

    Google Scholar 

  • Metered, H. (2012). Application of nonparametric magnetorheological damper model in vehicle semiactive suspension system. SAE Int. J. Passenger Cars-Mechanical Systems, 5, 1, 715–726.

    Article  Google Scholar 

  • Qin, Y., He, C., Shao, X., Du, H., **ang, C. and Dong, M. (2018a). Vibration mitigation for in-wheel switched reluctance motor driven electric vehicle with dynamic vibration absorbing structures. J. Sound and Vibration, 419, 249–267.

    Article  Google Scholar 

  • Qin, Y., **ang, C., Wang, Z. and Dong, M. (2018b). Classification for semi-active suspension system based on system response. J. Vibration and Control, 24, 13, 2732–2748.

    Article  Google Scholar 

  • Qin, Y., Zhao, F., Wang, Z., Gu, L. and Dong, M. (2017a). Comprehensive analysis for influence of controllable damper time delay on semi-active suspension control strategies. J. Vibration and Acoustics 139, 3, 031006xxx1–031006xxx12.

    Article  Google Scholar 

  • Qin, Y. C., Langari, R., Wang, Z. F., **ang, C. L. and Dong, M. M. (2017b). Road excitation classification for semi-active suspension system with deep neural networks. J. Intelligent & Fuzzy Systems 33, 3, 1907–1918.

    Article  Google Scholar 

  • Sun, S., Deng, H., Du, H., Li, W., Yang, J., Liu, G., Alici, G. and Yan, T. (2015a). A compact variable stiffness and dam** shock absorber for vehicle suspension. IEEE/ASME Trans. Mechatronics 20, 5, 2621–2629.

    Article  Google Scholar 

  • Sun, S., Ning, D., Yang, J., Du, H., Zhang, S. and Li, W. (2016). A seat suspension with a rotary magnetorheological damper for heavy duty vehicles. Smart Materials and Structures 25, 10, 105032.

    Article  Google Scholar 

  • Sun, S., Ning, D., Yang, J., Du, H., Zhang, S., Li, W. and Nakano, M. (2017a). Development of an MR seat suspension with self-powered generation capability. Smart Materials and Structures, 26, 8, 085025.

    Article  Google Scholar 

  • Sun, S., Yang, J., Li, W., Deng, H., Du, H. and Alici, G. (2015b). Development of a novel variable stiffness and dam** magnetorheological fluid damper. Smart Materials and Structures 24, 8, 085021.

    Article  Google Scholar 

  • Sun, X. Q., Yuan, C. C., Cai, Y. F., Wang, S. H. and Chen, L. (2017b). Model predictive control of an air suspension system with dam** multi-mode switching damper based on hybrid model. Mechanical Systems and Signal Processing, 94, 94–110.

    Article  Google Scholar 

  • Wei, C., Zhang, K., Hu, C., Wang, Y., Taghavifar, H. and **g, X. (2018). A tunable nonlinear vibrational energy harvesting system with scissor-like structure. Mechanical Systems and Signal Processing, DOI: https://doi.org/10.1016/j.ymssp.2018.06.007.

    Google Scholar 

  • Wong, P. K., Wong, K. I., Vong, C. M. and Cheung, C. S. (2015). Modeling and optimization of biodiesel engine performance using kernel-based extreme learning machine and cuckoo search. Renewable Energy, 74, 640–647.

    Article  Google Scholar 

  • Wong, P. K., **e, Z., Zhao, J., Xu, T. and He, F. (2014). Analysis of automotive rolling lobe air spring under alternative factors with finite element model. J. Mechanical Science and Technology 28, 12, 5069–5081.

    Article  Google Scholar 

  • **e, Z., Wong, P. K., Zhao, J., Xu, T., Wong, K. I. and Wong, H. C. (2013). A noise-insensitive semi-active air suspension for heavy-duty vehicles with an integrated fuzzy-wheelbase preview control. Mathematical Problems in Engineering, 2013, Article ID 121953.

    Google Scholar 

  • **e, Z. C., Wong, P. K., Zhao, J. and Xu, T. (2015). Design of a denoising hybrid fuzzy-pid controller for active suspension systems of heavy vehicles based on model adaptive wheelbase preview strategy. J. Vibroengineering 17, 2, 883–904.

    Google Scholar 

  • Xu, X., Wang, W., Zou, N. N., Chen, L. and Cui, X. L. (2017). A comparative study of sensor fault diagnosis methods based on observer for ECAS system. Mechanical Systems and Signal Processing 87, Part B, 169–183.

    Article  Google Scholar 

  • Yang, X.-S. and Deb, S. (2014). Cuckoo search: Recent advances and applications. Neural Computing and Applications 24, 1, 169–174.

    Article  Google Scholar 

  • Zhao, J., Wong, P. K., Ma, X. and **e, Z. (2017a). Chassis integrated control for active suspension, active front steering and direct yaw moment systems using hierarchical strategy. Vehicle System Dynamics: Int. J. Vehicle Mechanics and Mobility 55, 1, 72–103.

    Article  Google Scholar 

  • Zhao, J., Wong, P. K., Ma, X. and **e, Z. (2018a). Design and analysis of an integrated sliding mode control-two-point wheelbase preview strategy for asemi-active air suspension with stepper motor-driven gas-filled adjustable shock absorber. Proc. Institution of Mechanical Engineers, Part I: J. Systems and Control Engineering, DOI: https://doi.org/10.1177/0959651818778217.

    Google Scholar 

  • Zhao, J., Wong, P. K., **e, Z. C. and Ma, X. B. (2017b). Cuckoo search-based intelligent control of a novel variable rotary valve system for engines using PID controller. J. Intelligent & Fuzzy Systems 32, 3, 2351–2363.

    Article  Google Scholar 

  • Zhao, J., Wong, P. K., **e, Z. C., Ma, X. B. and Wei, C. Y. (2016a). Design of a road friendly SAS system for heavy-duty vehicles based on a fuzzy-hybrid-ADD and GH-control Strategy. Shock and Vibration, 2016, DOI: http://dx.doi.org/10.1155/2016/6321765.

  • Zhao, J., Wong, P. K., **e, Z. C., Wei, C. Y. and Zhao, R. C. (2016b). Design and evaluation of a ride comfort based suspension system using an optimal stiffnessdetermination method. Trans. Canadian Society for Mechanical Engineering 40, 5, 773–785.

    Article  Google Scholar 

  • Zhao, R. C., Wong, P. K., **e, Z. C. and Zhao, J. (2017c). Real-time weighted multi-objective model predictive controller for adaptive cruise control systems. Int. J. Automotive Technology 18, 2, 279–292.

    Article  Google Scholar 

  • Zhao, W., Fan, M. and Wang, C. (2019). H∞/extension stability control of automotive active front steering system. Mechanical Systems and Signal Processing, 115, 621–636.

    Article  Google Scholar 

  • Zhao, W., Qin, X. and Wang, C. (2018b). Yaw and lateral stability control of automotive four-wheel steer-by-wire system. IEEE/ASME Trans. Mechatronics, Doi: 10.1109/TMECH.2018.2812220.

    Google Scholar 

  • Zhao, W., Zhang, H. and Li, Y. (2018c). Displacement and force coupling control design for automotive active front steering system. Mechanical Systems and Signal Processing, 106, 76–93.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Zhengchao **e.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Zhao, J., Wong, P.K., **e, Z. et al. Design and Control of an Automotive Variable Hydraulic Damper Using Cuckoo Search Optimized Pid Method. Int.J Automot. Technol. 20, 51–63 (2019). https://doi.org/10.1007/s12239-019-0005-z

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12239-019-0005-z

Key words

Navigation