Enhanced Vehicle Dynamics through Constrained Model Predictive Control for In-Wheel Active Suspension Systems

Trong Tu Do

doi:10.46604/peti.2025.15624

Authors

Trong Tu Do Faculty of Mechanical-Automotive and Civil Engineering, Electric Power University, Hanoi, Vietnam

DOI:

https://doi.org/10.46604/peti.2025.15624

Keywords:

model predictive control, vehicle suspension, ride comfort, vibration isolation, in-wheel active suspension systems

Abstract

This study develops and evaluates a Model Predictive Control (MPC) strategy to enhance the dynamic performance of vehicle suspension systems subjected to stochastic road excitation. A high-fidelity simulation environment is established using a quarter-car model and a road profile conforming to ISO 8608:2016 Class B standards, with a constant vehicle speed of 60 km/h. The proposed constrained MPC algorithm, which predicts system states and optimizes control inputs over a finite horizon, is benchmarked against a conventional passive suspension. Simulation results demonstrate the MPC controller's superior efficacy in attenuating vibrations across a broad frequency range, resulting in significant improvements in both ride quality and handling stability. Key performance metrics include a 36.44% reduction in sprung mass acceleration (enhancing passenger comfort), an 18.71% reduction in unsprung mass acceleration (improving vibration isolation), and a 6.02% reduction in hub acceleration (promoting stable tire-road contact).

References

R. R. Das and E. V. Kumar, “Active Suspension with Model Predictive Control,” International Journal of Engineering and Advanced Technology, vol. 8, no. 6, pp. 2826-2831, 2019.

C. Xing, Y. Zhu, and H. Wu, “Electromechanical Coupling Braking Control Strategy Considering Vertical Vibration Suppression for Vehicles Driven by In-Wheel Motors,” IEEE/ASME Transactions on Mechatronics, vol. 27, no. 6, pp. 5701-5711, 2022.

A. Swief, A. El-Zawawi, and M. El-Habrouk, “A Survey of Model Predictive Control Development in Automotive Industries,” Proceedings of 2019 International Conference on Applied Automation and Industrial Diagnostics (ICAAID), pp. 1-7, 2019.

D. T. Tu, “Enhancing Road Holding and Vehicle Comfort for an Active Suspension System Utilizing Model Predictive Control and Deep Learning,” Engineering, Technology & Applied Science Research, vol. 14, no. 1, pp. 12931-12936, 2024.

Z. Zhao, L. Gu, J. Wu, X. Zhang, and H. Yang, “An Integrated Vibration Elimination System with Mechanical-Electrical-Magnetic Coupling Effects for In-Wheel-Motor-Driven Electric Vehicles,” Electronics, vol. 12, no. 5, 2023.

H. Jiang, C. Wang, Z. Li, and C. Liu, “Hybrid Model Predictive Control of Semiactive Suspension in Electric Vehicle with Hub-Motor,” Applied Sciences, vol. 11, no. 1, article no. 382, 2021.

Z. Yueying, Y. Chuantian, Y. Yuan, W. Weiyan, and Z. Chengwen, “Design and Optimisation of an In-Wheel Switched Reluctance Motor for Electric Vehicles,” IET Intelligent Transport Systems, vol. 13, no. 1, pp. 175-182, 2019.

Z. Zhao, H. Taghavifar, H. Du, Y. Qin, M. Dong, and L. Gu, “In-Wheel Motor Vibration Control for Distributed-Driven Electric Vehicles: A Review,” IEEE Transactions on Transportation Electrification, vol. 7, no. 4, pp. 2864-2880, 2021.

Y. Qin, Z. Wang, K. Yuan, and Y. Zhang, “Comprehensive Analysis and Optimization of Dynamic Vibration-Absorbing Structures for Electric Vehicles Driven by In-Wheel Motors,” Automotive Innovation, vol. 2, pp. 254-262, 2019.

K. Deepak, M. A. Frikha, Y. Benômar, M. El Baghdadi, and O. Hegazy, “In-Wheel Motor Drive Systems for Electric Vehicles: State of the Art, Challenges, and Future Trends,” Energies, vol. 16, no. 7, pp. 1-31, 2023.

H. Xu, J. Liu, T. Luo, Y. Yao, and C. Lv, “Model-Based Design of an Active Suspension for the Improvement of In-Wheel Motor Drive Electric Vehicle,” IEEE Access, vol. 12, pp. 45597-45615, 2024.

Z. Zhao, L. Zhang, J. Wu, L. Gu, and S. Li, “Vertical-Longitudinal Coupling Effect Investigation and System Optimization for a Suspension-In-Wheel-Motor System in Electric Vehicle Applications,” Sustainability, vol. 15, no. 5, article no. 4168, 2023.

Y. Qin, C. He, X. Shao, H. Du, C. Xiang, and M. Dong, “Vibration Mitigation for In-Wheel Switched Reluctance Motor Driven Electric Vehicle with Dynamic Vibration Absorbing Structures,” Journal of Sound and Vibration, vol. 419, pp. 249-267, 2018.

Y. Zhu, C. Zhao, J. Zhang, and Z. Gong, “Vibration Control for Electric Vehicles with In-Wheel Switched Reluctance Motor Drive System,” IEEE Access, vol. 8, pp. 7205-7216, 2020.

Y. Qin, C. He, P. Ding, M. Dong, and Y. Huang, “Suspension Hybrid Control for In-Wheel Motor Driven Electric Vehicle with Dynamic Vibration Absorbing Structures,” IFAC-PapersOnLine, vol. 51, no. 31, pp. 973-978, 2018.

R. He and J. C. Wang, “Vertical Vibration Control of an In-Wheel Motor-Driven Electric Vehicle Using an In-Wheel Active Vibration System,” Asian Journal of Control, vol. 22, no. 2, pp. 879-896, 2020.

N. J. Wills, Y. Y. Li, J. Z. Jiang, T. L. Hill, S. A. Neild, and M. Dhaens, “Using Inerter-Integrated Absorbers to Improve the Performance of an In-Wheel Motor System,” Vehicle System Dynamics, vol. 62, no. 8, pp. 2162-2183, 2024.

Y. Qin, Z. Zhao, Z. Wang, and G. Li, “Study of Longitudinal–Vertical Dynamics for In-Wheel Motor-Driven Electric Vehicles,” Automotive Innovation, vol. 4, pp. 227-237, 2021.

B. Xu, C. Xiang, Y. Qin, P. Ding, and M. Dong, “Semi-Active Vibration Control for in-Wheel Switched Reluctance Motor Driven Electric Vehicle with Dynamic Vibration Absorbing Structures: Concept and Validation,” IEEE Access, vol. 6, pp. 60274-60285, 2018.

G. Long, F. Ding, N. Zhang, J. Zhang, and A. Qin, “Regenerative Active Suspension System with Residual Energy for In-Wheel Motor Driven Electric Vehicle,” Applied Energy, vol. 260, article no. 114180, 2020.

Y. Chen, S. Chen, Y. Zhao, Z. Gao, and C. Li, “Optimized Handling Stability Control Strategy for a Four In-Wheel Motor Independent-Drive Electric Vehicle,” IEEE Access, vol. 7, pp. 17017-17032, 2019.

M. Liu, Y. Zhang, J. Huang, and C. Zhang, “Optimization Control for Dynamic Vibration Absorbers and Active Suspensions of In-Wheel-Motor-Driven Electric Vehicles,” Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering, vol. 234, no. 9, pp. 2377-2392, 2020.

Q. Li, Z. Chen, H. Song, and Y. Dong, “Model Predictive Control for Speed-Dependent Active Suspension System with Road Preview Information,” Sensors, vol. 24, no. 7, article no. 2255, 2024.

Z. Deng, X. Li, X. Li, S. Zhao, and H. Wei, “Mechanism Analysis and Optimum Control of Negative Airgap Eccentricity Effect for In-Wheel Switched Reluctance Motor Driving System,” Nonlinear Dynamics, vol. 111, pp. 9075-9093, 2023.

A. Rezig, W. Boudendouna, A. Djerdir, and A. N’Diaye, “Investigation of Optimal Control for Vibration and Noise Reduction In-Wheel Switched Reluctance Motor Used in Electric Vehicle,” Mathematics and Computers in Simulation, vol. 167, pp. 267-280, 2020.

J. Zhao, J. Dong, P. K. Wong, X. Ma, Y. Wang, and C. Lv, “Interval Fuzzy Robust Non-Fragile Finite Frequency Control for Active Suspension of In-Wheel Motor Driven Electric Vehicles with Time Delay,” Journal of the Franklin Institute, vol. 359, no. 12, pp. 5960-5990, 2022.

T. Huang, H. Pan, W. Sun, and H. Gao, “Sine Resistance Network-Based Motion Planning Approach for Autonomous Electric Vehicles in Dynamic Environments,” IEEE Transactions on Transportation Electrification, vol. 8, no. 2, pp. 2862-2873, 2022.

M. Bai and W. Sun, “Disturbance-Resilient Model Predictive Control for Active Suspension Systems with Perception Errors in Road Preview Information,” Journal of the Franklin Institute, vol. 362, no. 15, article no. 107957, 2025.

T. Huang, J. Wang, and H. Pan, “Approximation-Free Prespecified Time Bionic Reliable Control for Vehicle Suspension,” IEEE Transactions on Automation Science and Engineering, vol. 21, no. 4, pp. 5333-5343, 2024.

D. Q. Mayne, J. B. Rawlings, C. V. Rao, and P. O. M. Scokaert, “Constrained Model Predictive Control: Stability and Optimality,” Automatica, vol. 36, no. 6, pp. 789-814, 2000.