[go: up one dir, main page]
Skip to main content
SpringerLink
Log in

Vibration Control of Electromagnetic Damper System Based on State Observer and Disturbance Compensation

  • Original Paper
  • Published:
Journal of Vibration Engineering & Technologies Aims and scope Submit manuscript

Abstract

Background

Electromagnetic damper (EMD), which is regarded as an emerging type of damper, has drawn wide attention in vibration control fields. One of the main challenges of EMD is the design of controllers, many of which have adopted some unmeasured signals and have ignored the system's disturbance.

Purpose

To fill this research gap, a H∞ controller based on state estimation and disturbance compensation is designed, and an EMD seat suspension system is applied in this research.

Methods

A two-degree-of-freedom (DOF) seat suspension and the EMD system models are introduced and established first. Then, the Bouc-Wen model is selected to represent the system's disturbance, including seat suspension friction and the EMD system's inertia force. A test bench is built to measure the system's force-displacement data, and the parameters of the Bouc-Wen model can be determined by parameter identification methods. Secondly, a robust H∞ controller based on state estimation and disturbance compensation is proposed. A state observer is proposed to estimate unmeasurable state variables and is used in the design of the proposed H∞ controller. Finally, another test bench, which consists of a six-DOF vibration platform and an EMD seat suspension system, is built. Three typical excitations, sinusoidal, bump, and random excitations, are selected to simulate the real road excitation. A commercial suspension with good vibration isolation capacity is selected to compare with the EMD seat suspension.

Results

Experimental results demonstrate that the H∞ controller can improve vertical ride comfort and reduce suspension deflection effectively.

Conclusion

In addition, the designed controller can reduce vibration magnitude in all interested frequency ranges compared with the passive one.

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

Access this article

Log in via an institution

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14
Fig. 15
Fig. 16
Fig. 17
Fig. 18
Fig. 19
Fig. 20
Fig. 21
Fig. 22

Similar content being viewed by others

References

  1. Zhang N, Smith WA, Jeyakumaran J (2010) Hydraulically interconnected vehicle suspension: background and modelling. Veh Syst Dyn 48(1):17–40. https://doi.org/10.1080/00423110903243182

    Article  Google Scholar 

  2. Zeng M, Tan B, Ding F, Zhang B, Zhou H, Chen Y (2019) An experimental investigation of resonance sources and vibration transmission for a pure electric bus. Proc Inst Mech Eng Part D J Automob Eng 234(4):950–962. https://doi.org/10.1177/0954407019879258

    Article  Google Scholar 

  3. Liu P, Xia X, Zhang N, Ning D, Zheng M (2019) Torque response characteristics of a controllable electromagnetic damper for seat suspension vibration control. Mech Syst Signal Process. https://doi.org/10.1016/j.ymssp.2019.07.019

    Article  Google Scholar 

  4. Zheng M, Zhang B, Zhang J, Zhang N (2016) Physical parameter identification method based on modal analysis for two-axis on-road vehicles: theory and simulation. Chin J Mech Eng 29(4):756–764. https://doi.org/10.3901/cjme.2016.0108.004

    Article  Google Scholar 

  5. Zheng M, Peng P, Zhang B, Zhang N, Wang L, Chen Y (2015) A new physical parameter identification method for two-axis on-road vehicles: simulation and experiment. Shock Vib 2015:1–9. https://doi.org/10.1155/2015/191050

    Article  Google Scholar 

  6. Du H, Lam J, Cheung KC, Li W, Zhang N (2013) Direct voltage control of magnetorheological damper for vehicle suspensions. Smart Mater Struct. https://doi.org/10.1088/0964-1726/22/10/105016

    Article  Google Scholar 

  7. Sun S et al (2021) Experimental study of a variable stiffness seat suspension installed with a compact rotary MR damper. Front Mater. https://doi.org/10.3389/fmats.2021.594843

    Article  Google Scholar 

  8. Sun SS, Ning DH, Yang J, Du H, Zhang SW, Li WH (2016) A seat suspension with a rotary magnetorheological damper for heavy duty vehicles. Smart Mater Struct. https://doi.org/10.1088/0964-1726/25/10/105032

    Article  Google Scholar 

  9. Tu L et al (2020) A novel negative stiffness magnetic spring design for vehicle seat suspension system. Mechatronics. https://doi.org/10.1016/j.mechatronics.2020.102370

    Article  Google Scholar 

  10. Liu Y-J, Zeng Q, Tong S, Chen CLP, Liu L (2019) Adaptive neural network control for active suspension systems with time-varying vertical displacement and speed constraints. IEEE Trans Ind Electron 66(12):9458–9466. https://doi.org/10.1109/tie.2019.2893847

    Article  Google Scholar 

  11. Moradi M, Fekih A (2014) Adaptive PID-sliding-mode fault-tolerant control approach for vehicle suspension systems subject to actuator faults. IEEE Trans Veh Technol 63(3):1041–1054. https://doi.org/10.1109/tvt.2013.2282956

    Article  Google Scholar 

  12. Tang X, Ning D, Du H, Li W, Wen W (2020) Takagi-Sugeno fuzzy model-based semi-active control for the seat suspension with an electrorheological damper. IEEE Access 8:98027–98037. https://doi.org/10.1109/access.2020.2995214

    Article  Google Scholar 

  13. Ning D, Sun S, Zhang F, Du H, Li W, Zhang B (2017) Disturbance observer based Takagi-Sugeno fuzzy control for an active seat suspension. Mech Syst Signal Process 93:515–530. https://doi.org/10.1016/j.ymssp.2017.02.029

    Article  Google Scholar 

  14. Tang X, Ning D, Du H, Li W, Gao Y, Wen W (2020) A Takagi-Sugeno fuzzy model-based control strategy for variable stiffness and variable damping suspension. IEEE Access 8:71628–71641. https://doi.org/10.1109/access.2020.2983998

    Article  Google Scholar 

  15. Ning D, Sun S, Wei L, Zhang B, Du H, Li W (2017) Vibration reduction of seat suspension using observer based terminal sliding mode control with acceleration data fusion. Mechatronics 44:71–83. https://doi.org/10.1016/j.mechatronics.2017.04.012

    Article  Google Scholar 

  16. Choi S-B, Han Y-M (2007) Vibration control of electrorheological seat suspension with human-body model using sliding mode control. J Sound Vib 303(1–2):391–404. https://doi.org/10.1016/j.jsv.2007.01.027

    Article  Google Scholar 

  17. Li W, Du H, Ning D, Li W, Sun S, Wei J (2021) Event-triggered H∞ control for active seat suspension systems based on relaxed conditions for stability. Mech Syst Signal Process. https://doi.org/10.1016/j.ymssp.2020.107210

    Article  Google Scholar 

  18. Zhang J, Zhang B, Zhang N, Wang C, Chen Y (2021) A novel robust event-triggered fault tolerant automatic steering control approach of autonomous land vehicles under in-vehicle network delay. Int J Robust Nonlinear Control 31(7):2436–2464. https://doi.org/10.1002/rnc.5393

    Article  MathSciNet  Google Scholar 

  19. Wu L, Gao Y, Liu J, Li H (2017) Event-triggered sliding mode control of stochastic systems via output feedback. Automatica 82:79–92. https://doi.org/10.1016/j.automatica.2017.04.032

    Article  MathSciNet  MATH  Google Scholar 

  20. Abdelkareem MAA et al (2018) Vibration energy harvesting in automotive suspension system: a detailed review. Appl Energy 229:672–699. https://doi.org/10.1016/j.apenergy.2018.08.030

    Article  Google Scholar 

  21. Wang R, Ding R, Chen L (2016) Application of hybrid electromagnetic suspension in vibration energy regeneration and active control. J Vib Control 24(1):223–233. https://doi.org/10.1177/1077546316637726

    Article  MathSciNet  Google Scholar 

  22. Zhu H, Li Y, Shen W, Zhu S (2019) Mechanical and energy-harvesting model for electromagnetic inertial mass dampers. Mech Syst Signal Process 120:203–220. https://doi.org/10.1016/j.ymssp.2018.10.023

    Article  Google Scholar 

  23. Ning D, Du H, Sun S, Li W, Li W (2018) An energy saving variable damping seat suspension system with regeneration capability. IEEE Trans Ind Electron 65(10):8080–8091. https://doi.org/10.1109/tie.2018.2803756

    Article  Google Scholar 

  24. Ning D et al (2020) An electromagnetic variable stiffness device for semiactive seat suspension vibration control. IEEE Trans Ind Electron 67(8):6773–6784. https://doi.org/10.1109/tie.2019.2936994

    Article  Google Scholar 

  25. Ning D et al (2019) An electromagnetic variable inertance device for seat suspension vibration control. Mech Syst Signal Process. https://doi.org/10.1016/j.ymssp.2019.106259

    Article  Google Scholar 

  26. Liu P, Ning D, Luo L, Zhang N, Du H (2021) An electromagnetic variable inertance and damping seat suspension with controllable circuits. IEEE Trans Ind Electron. https://doi.org/10.1109/tie.2021.3066926

    Article  Google Scholar 

  27. Ning D, Du H, Zhang N, Jia Z, Li W, Wang Y (2021) A semi-active variable equivalent stiffness and inertance device implemented by an electrical network. Mech Syst Signal Process. https://doi.org/10.1016/j.ymssp.2021.107676

    Article  Google Scholar 

  28. Li J-Y, Zhu S (2021) Tunable electromagnetic damper with synthetic impedance and self-powered functions. Mech Syst Signal Process. https://doi.org/10.1016/j.ymssp.2021.107822

    Article  Google Scholar 

  29. Chen W (2007) Integrated control of automobile steering and suspension system based on disturbance suppression [J]. Chin J Mech Eng 43(11):98–104

    Article  Google Scholar 

  30. Ning D, Du H, Sun S, Li W, Zhang B (2018) An innovative two-layer multiple-dof seat suspension for vehicle whole body vibration control. IEEE/ASME Trans Mechatron 23(4):1787–1799. https://doi.org/10.1109/tmech.2018.2837155

    Article  Google Scholar 

  31. Ning D, Du H, Sun S, Li W, Zhang N, Dong M (2019) A novel electrical variable stiffness device for vehicle seat suspension control with mismatched disturbance compensation. IEEE/ASME Trans Mechatron 24(5):2019–2030. https://doi.org/10.1109/tmech.2019.2929543

    Article  Google Scholar 

  32. Bai X-X, Cai F-L, Chen P (2019) Resistor-capacitor (RC) operator-based hysteresis model for magnetorheological (MR) dampers. Mech Syst Signal Process 117:157–169. https://doi.org/10.1016/j.ymssp.2018.07.050

    Article  Google Scholar 

  33. Haiping D, Weihua L, Nong Z (2012) Integrated seat and suspension control for a quarter car with driver model. IEEE Trans Veh Technol 61(9):3893–3908. https://doi.org/10.1109/tvt.2012.2212472

    Article  Google Scholar 

Download references

Acknowledgements

This research is funded by the National Natural Science Foundation of China (51675152) and the Anhui New Energy Automobile and Intelligent Networking Automotive Industry Technology Innovation Project (IMIZX2018001).

Author information

Authors and Affiliations

  1. School of Automotive and Transportation, Hefei University of Technology, Hefei, 230009, China

    Xian Xu, Xiangjun Xia, Minyi Zheng & Nong Zhang

  2. School of Mechanical Engineering, Hefei University of Technology, Hefei, 230009, China

    Minyi Zheng

  3. Automotive Research Institute, Hefei University of Technology, Hefei, 230009, China

    Nong Zhang

  4. Technology Center of Dongfeng Commercial Vehicle, Dongfeng Commercial Vehicle Co. LTD, Wuhan, 430056, China

    Xian Xu

  5. Structural Dynamics and Acoustic Systems Laboratory, University of Massachusetts Lowell One University Avenue, Lowell, MA, 01854, USA

    Yuanchang Chen

Authors
  1. Xian Xu
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Xiangjun Xia
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Minyi Zheng
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Nong Zhang
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Yuanchang Chen
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding authors

Correspondence to Xiangjun Xia or Minyi Zheng.

Ethics declarations

Conflict of interest

The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Xu, X., Xia, X., Zheng, M. et al. Vibration Control of Electromagnetic Damper System Based on State Observer and Disturbance Compensation. J. Vib. Eng. Technol. 10, 3133–3146 (2022). https://doi.org/10.1007/s42417-022-00545-5

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s42417-022-00545-5

Keywords

Search

Navigation