Abstract
In rail transportation, electromechanical brake (EMB) technology is seen as the next generation of the braking system. Due to the deplorable working conditions (such as wading, impact vibration, and voltage surge), the clamping force sensor can encounter bridge-cut-off, zero shift, cable transmission faults, and other problems. Hence, the reliability of the clamping force sensor is greatly challenged. For the thorny problem, this paper proposed a novel clamping force sensor fault-tolerant control strategy that can be a backup control loop to enhance the reliability of the system. Firstly, the paper describes the working principle of the EMB system and establishes its nonlinear mathematical model. Combined with the piezoresistive sensor working principle, the cause of clamping force sensor failure is analyzed. Meanwhile, the corresponding relationship between motor output torque and the braking process is explained, and a gap adjustment control strategy without a clamping force sensor is proposed. Then, a clamping force estimation method is presented under strong coupling conditions, considering the different hysteresis characteristics between foreign clamping forces. In addition, the designed enhanced extended state observer (ESO) utilizes the sigmoid function to solve the high-frequency chattering phenomenon of the conventional nonlinearity ESO. With the enhanced ESO, the power fast terminal sliding-mode (PFTSM) control can ensure the dynamic response and improve the anti-interference ability of the system. Finally, compared with a conventional method, a static experimental platform verifies the effectiveness of the proposed control strategy.
Similar content being viewed by others
Data Availability
The original data are used during the research, and it is here available with the author, so it can be provided at any time on the request.
Abbreviations
- EMB:
-
Electromechanical brake
- ESO:
-
Extended state observer
- PFTSMC:
-
Power fast terminal sliding-mode control
- ADRC:
-
Active disturbance rejection control
- SMC:
-
Sliding-mode control
- EMA:
-
Electromechanical actuator
- PMSM:
-
Permanent magnet synchronous machine
- FOC:
-
Field-oriented control
- SM-ADRC:
-
Sliding-mode active disturbance rejection composite controller
References
Jeong, N.T.; Wang, M.; Yoo, S. et al.: Conceptual design of high-speed semi-low-floor bogie for train-tram. Int. J. Automot. Technol. 18, 523–533 (2017). https://doi.org/10.1007/s12239-017-0052-2
Zarko, D.; Stipetic, S.; Martinovic, M., et al.: Reduction of computational efforts in finite element based permanent magnet traction motor optimization. IEEE Trans. Ind. Electron. 65(2), 1799–1807 (2018). https://doi.org/10.1109/TIE.2017.2736485
Zhu N.; Gao K.; Yan D. et al.: Modeling and analysis of hydraulic braking system of low-floor tram based on AMESim. In: 2019 25th International Conference on Automation and Computing (ICAC) 1–7 (2019). https://doi.org/10.23919/IConAC.2019.8895044
Chudzikiewicz, A.; Korzeb, J.: Simulation study of wheels wear in low-floor tram with independently rotating wheels. Arch. Appl. Mech. 88, 175–192 (2018). https://doi.org/10.1007/s00419-017-1301-6
Lee K.J.; Ki Y.H.; Cheon J.S. et al.: Approach to functional safety-compliant ECU design for electro-mechanical brake systems. Int. J Automot. Technol. 15, 325–332 (2014). https://doi.org/10.1007/s12239-014-0033-7
Baek, S.; Oh, H.; Kim, S., et al.: A clamping force performance evaluation of the electro-mechanical brake using PMSM. Energies 11(11), 2876 (2018). https://doi.org/10.3390/en11112876
Ma, R.; Zhang, H.; Yuan, M., et al.: Chattering suppression fast terminal sliding mode control for aircraft EMA braking system. IEEE Trans. Transp. Electrif. 7(3), 1901–1914 (2021). https://doi.org/10.1109/TTE.2021.3054510
Ahn J.K.; Jung K.H.; Kim D.H. et al.: Analysis of a regenerative braking system for Hybrid Electric Vehicles using an Electro-Mechanical Brake. Int. J Automot. Technol. 10, 229–234 (2009). https://doi.org/10.1007/s12239-009-0027-z
Wu M.; Lei C.; Chen M.: Control algorithm optimization of clamping force based on train electromechanical braking system. J. Tongji Univ. (Natural Science) 48(06), 898–903 (2020). https://doi.org/10.11908/j.issn.0253-374x.19533
Wu, M.; Ma, T.; Tian, C., et al.: Discussion on development trend of train braking technology. China Railway Sci. 40(1), 134–144 (2019)
Li, Y.; Shim, T.; Shin, D., et al.: Control system design for electromechanical brake system using novel clamping force model and estimator. IEEE Trans. Veh. Technol. 70(9), 8653–8668 (2021). https://doi.org/10.1109/TVT.2021.3095900
Eum, S.; Choi, J.; Park, S., et al.: Robust clamping force control of an electromechanical brake system for application to commercial city buses. Energies 10(2), 220 (2017). https://doi.org/10.3390/en10020220
Fu, Y.; Hu, X.; Wang, W.: Simulation and experimental study of a new electromechanical brake with automatic wear adjustment function. Int. J. Automot. Technol. 21(1), 227–238 (2020). https://doi.org/10.1007/s12239-020-0022-y
Jo, C.; Hwang, S.; Kim, H.: Clamping-force control for electromechanical brake. IEEE Trans. Veh. Technol. 59(7), 3205–3212 (2010). https://doi.org/10.1109/TVT.2010.2043696
Kwon, S.; Lee, S.; Lee, J., et al.: Accurate state estimation for electromechanical brake system. J. Electr. Eng. Technol. 14(2), 889–896 (2019). https://doi.org/10.1007/s42835-019-00124-x
Xu, Z.; Gerada, C.: Enhanced force estimation for electromechanical brake actuators in transportation vehicles. IEEE Trans. Power Electron. 36(12), 14329–14339 (2021). https://doi.org/10.1109/TPEL.2021.3085996
Hua, X.; Huang, D.; Guo, S.: Extended state observer based on ADRC of linear system with incipient fault. Int. J. Control Autom. Syst. 18, 1425–1434 (2020). https://doi.org/10.1007/s12555-019-0052-2
Najm, A.A.; Ibraheem, I.K.: Altitude and attitude stabilization of UAV quadrotor system using improved active disturbance rejection control. Arab. J. Sci. Eng. 45(3), 1985–1999 (2020). https://doi.org/10.1007/s13369-020-04355-3
Lu, W.; Li, Q.; Lu, K., et al.: Load adaptive PMSM drive system based on an improved ADRC for manipulator joint. IEEE Access 9, 33369–33384 (2021). https://doi.org/10.1109/ACCESS.2021.3060925
Yu L.; He G.; Wang X. et al.: Robust fixed-time sliding mode attitude control of tilt tri-rotor UAV in Helicopter mode. IEEE Trans. Ind. Electron., Early Access 2021. https://doi.org/10.1109/TIE.2021.3118556
Xu, B.; Zhang, L.; Ji, W.: Improved non-singular fast terminal sliding mode control with disturbance observer for PMSM drives. IEEE Trans. Transp. Electrif. 7(4), 2753–2762 (2021). https://doi.org/10.1109/TTE.2021.3083925
Wang, X.; Wang, Z.; He, M., et al.: Fault-tolerant control of dual three-phase PMSM drives with minimized copper loss. IEEE Trans. Power Electron. 35(4), 4117–4126 (2021). https://doi.org/10.1109/TPEL.2019.2933613
Wang, Y.; Feng, Y.; Zhang, X., et al.: A new reaching law for antidisturbance sliding-mode control of PMSM speed regulation system. IEEE Trans. Power Electron. 35(4), 4117–4126 (2019). https://doi.org/10.1109/TPEL.2019.2933613
Zhao, Y.; Lin, H.; Li, B.: Sliding-mode clamping force control of electromechanical brake system based on enhanced reaching law. IEEE Access 9, 19506–19515 (2021). https://doi.org/10.1109/ACCESS.2021.3052944
Chen Z.; Zhang Z.; Cao Y.: Fal function improvement of ADRC and its application in quadrotor aircraft attitude control. Control and Decis. 33(10), 1901–1907 (2018). https://doi.org/10.13195/j.kzyjc.2017.0606
Funding
This research was funded by the National Natural Science Foundation of China (No. 51777170).
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict of interest
The authors declare no conflict of interest.
Rights and permissions
Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Zhao, Y., Lin, H., Elahi, H. et al. Clamping Force Sensor Fault Analysis and Fault-Tolerant Control of the Electromechanical Brake System. Arab J Sci Eng 48, 6011–6023 (2023). https://doi.org/10.1007/s13369-022-07214-5
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s13369-022-07214-5