Intelligent Vehicles Path Tracking Control Strategy Based on Sliding Mode Variable Weight MPC
DOI:
https://doi.org/10.71204/85h4j926Keywords:
Model Predictive Control, Variable Weights, Sliding Mode Control, Trajectory TrackingAbstract
Traditional model predictive control (MPC) algorithms often suffer from slow trajectory convergence and non-smooth control increments when applied to complex driving scenarios. To address these challenges, this paper presents a novel trajectory tracking control method for intelligent vehicles based on sliding-mode variable-weight MPC. An adaptive variable-weight strategy is introduced within the MPC framework by integrating a sliding mode control (SMC) mechanism. This approach allows for real-time adjustment of the weight matrix in the MPC objective function based on the lateral displacement error and yaw angle error. This improves the controller's ability to adapt, enhances tracking precision, and ensures stability across different driving conditions. A vehicle dynamics model is constructed with front wheel steering angle as the control input, and the influence of different weighting coefficients on control performance is systematically analyzed. The proposed control strategy is implemented in Simulink and validated through co-simulation with a high-fidelity CarSim vehicle model under a double lane-change scenario. Simulation results show that, compared to conventional MPC, the proposed method reduces peak lateral displacement error by up to 71% and achieves notable improvements in yaw angle and lateral deviation of the vehicle’s center of mass. These results demonstrate the effectiveness of the proposed approach in improving trajectory tracking performance, vehicle stability, and dynamic responsiveness.
References
Alcalá, E., Puig, V., & Quevedo, J. (2019). TS-MPC for autonomous vehicles including a TS-MHE-UIO estimator. IEEE Transactions on Vehicular Technology, 68(7), 6403-6413.
Amer, N. H., Zamzuri, H., Hudha, K., & Kadir, Z. A. (2017). Modelling and control strategies in path tracking control for autonomous ground vehicles: A review of state of the art and challenges. Journal of intelligent & robotic systems, 86, 225-254.
Amir, M., & Givargis, T. (2017, November). Hybrid state machine model for fast model predictive control: Application to path tracking. In 2017 IEEE/Acm International Conference on Computer-Aided Design (Iccad) (pp. 185-192). IEEE.
Bai, G., Meng, Y., Liu, L., Luo, W., Gu, Q., & Li, K. (2019). A new path tracking method based on multilayer model predictive control. Applied sciences, 9(13), 2649.
Bujarbaruah, M., Nair, S. H., & Borrelli, F. (2020, May). A semi-definite programming approach to robust adaptive MPC under state dependent uncertainty. In 2020 European Control Conference (ECC) (pp. 960-965). IEEE.
Dai, L., Lu, Y., Xie, H., Sun, Z., & Xia, Y. (2020). Robust tracking model predictive control with quadratic robustness constraint for mobile robots with incremental input constraints. IEEE Transactions on Industrial Electronics, 68(10), 9789-9799.
Funke, J., Brown, M., Erlien, S. M., & Gerdes, J. C. (2016). Collision avoidance and stabilization for autonomous vehicles in emergency scenarios. IEEE Transactions on Control Systems Technology, 25(4), 1204-1216.
Li, X., Gong, X., Chen, Y. H., Huang, J., & Zhong, Z. (2024). Integrated path planning-control design for autonomous vehicles in intelligent transportation systems: A neural-activation approach. IEEE Transactions on Intelligent Transportation Systems, 25(7), 7602-7618.
Liu, H., Sun, J., & Cheng, K. W. E. (2023). A two-layer model predictive path-tracking control with curvature adaptive method for high-speed autonomous driving. IEEE access, 11, 89228-89239.
Nuhel, A. K., Al Amin, M., Paul, D., Bhatia, D., Paul, R., & Sazid, M. M. (2023, August). Model Predictive Control (MPC) and Proportional Integral Derivative Control (PID) for Autonomous Lane Keeping Maneuvers: A Comparative Study of Their Efficacy and Stability. In International Conference on Cognitive Computing and Cyber Physical Systems (pp. 107-121). Cham: Springer Nature Switzerland.
Oh, K., & Seo, J. (2022). Development of an adaptive and weighted model predictive control algorithm for autonomous driving with disturbance estimation and grey prediction. IEEE Access, 10, 35251-35264.
Pareek, S., Gupta, H., Kaur, J., Kumar, R., & Chohan, J. S. (2023, June). Fuzzy logic in computer technology: Applications and advancements. In 2023 3rd International Conference on Pervasive Computing and Social Networking (ICPCSN) (pp. 1634-1637). IEEE.
Peicheng, S., Li, L., Ni, X., & Yang, A. (2022). Intelligent vehicle path tracking control based on improved MPC and hybrid PID. IEEE Access, 10, 94133-94144.
Tang, L., Yan, F., Zou, B., Wang, K., & Lv, C. (2020). An improved kinematic model predictive control for high-speed path tracking of autonomous vehicles. IEEE Access, 8, 51400-51413.
Tian, Y., Yao, Q., Hang, P., & Wang, S. (2022). A gain-scheduled robust controller for autonomous vehicles path tracking based on LPV system with MPC and H∞. IEEE Transactions on vehicular technology, 71(9), 9350-9362.
Tian, Y., Yao, Q., Wang, C., Wang, S., Liu, J., & Wang, Q. (2022). Switched model predictive controller for path tracking of autonomous vehicle considering rollover stability. Vehicle system dynamics, 60(12), 4166-4185.
Wang, J., Teng, F., Li, J., Zang, L., Fan, T., Zhang, J., & Wang, X. (2021). Intelligent vehicle lane change trajectory control algorithm based on weight coefficient adaptive adjustment. Advances in Mechanical Engineering, 13(3), 16878140211003393.
Wu, H., Si, Z., & Li, Z. (2020). Trajectory tracking control for four-wheel independent drive intelligent vehicle based on model predictive control. IEEE Access, 8, 73071-73081.
Xue, W., & Zheng, L. (2020). Active collision avoidance system design based on model predictive control with varying sampling time. Automotive innovation, 3(1), 62-72.
Yang Z, Li S, Wang Z. Trajectory Tracking Control of Distributed Driving Intelligent Vehicles Based on Adaptive Variable Parameter MPC. Journal of Mechanical Engineering, 2024, 60(6): 363-377.
Yang, L., Yue, M., Ma, T., & Hou, X. (2017, July). Trajectory tracking control for 4WD vehicles using MPC and adaptive fuzzy control. In 2017 36th Chinese Control Conference (CCC) (pp. 9367-9372). IEEE.
Yu, F. R. (2016). Connected vehicles for intelligent transportation systems [guest editorial]. IEEE Transactions on Vehicular Technology, 65(6), 3843-3844.
Zhang, B., Zong, C., Chen, G., & Zhang, B. (2019). Electrical vehicle path tracking based model predictive control with a Laguerre function and exponential weight. IEEE Access, 7, 17082-17097.
Zhang, K., Sun, Q., & Shi, Y. (2021). Trajectory tracking control of autonomous ground vehicles using adaptive learning MPC. IEEE Transactions on Neural Networks and Learning Systems, 32(12), 5554-5564.
Zuo, Z., Yang, X., Li, Z., Wang, Y., Han, Q., Wang, L., & Luo, X. (2020). MPC-based cooperative control strategy of path planning and trajectory tracking for intelligent vehicles. IEEE Transactions on Intelligent Vehicles, 6(3), 513-522.
Downloads
Published
Issue
Section
License
Copyright (c) 2025 Yiheng Shi, Qiangqiang Yao, Zhendong Zhu, Qilin Xie, Xingdong Sun (Author)

This work is licensed under a Creative Commons Attribution 4.0 International License.
All articles published in this journal are licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0). This license permits unrestricted use, distribution, and reproduction in any medium, provided the original author(s) and source are properly credited. Authors retain copyright of their work, and readers are free to copy, share, adapt, and build upon the material for any purpose, including commercial use, as long as appropriate attribution is given.
