Handling and Stability Analysis of an Autonomous Vehicle Using Model Predictive Control in a CarSim–Simulink Co-Simulation Environment

Authors

DOI:

https://doi.org/10.22441/ijimeam.v7i2.31812

Keywords:

Autonomous vehicle, Model Predictive Control (MPC), trajectory tracking, co-simulation, vehicle stability, handling performance

Abstract

Cars are a prevalent mode of transportation for both people and goods, with B-class hatchbacks being particularly popular in Indonesia. However, road traffic crashes remain a major concern, contributing millions of deaths annually, primarily due to human error. Autonomous vehicles offer a promising solution to mitigate these issues by reducing reliance on human control. In particular, Level 3 autonomous vehicles enhance road safety, enable independent mobility, reduce traffic congestion, and allow drivers to engage in non-driving tasks. This study proposes an autonomous vehicle model that employs a trajectory tracking approach using Model Predictive Control (MPC), a robust and widely adopted control strategy in autonomous systems. A three-degree-of-freedom (3-DOF) vehicle dynamic model was developed and analyzed through co-simulation using CarSim and Simulink to evaluate its performance during a double-lane change maneuver. The simulation results demonstrate that the vehicle accurately follows the reference trajectory and exhibits excellent dynamic performance. The roll angle remained consistently low, ranging between 0.024 and 0.026 radians—well below the rollover threshold of 0.14 radians—demonstrating strong roll stability. The slip angle varied between –0.013 and 0.0135 radians, nearly 12 times lower than the critical limit, indicating optimal traction and directional control. Lateral acceleration ranged from –3.59 m/s² to 3.41 m/s², and yaw rate remained within –7.78°/s to 7.25°/s, both well within safe operational bounds. These findings confirm that the proposed MPC-based control framework enables precise path tracking, robust stability, and reliable handling performance in dynamic driving scenarios.

Downloads

Download data is not yet available.

References

S. Singh and B. S. Saini, “Autonomous cars: Recent developments, challenges, and possible solutions,” in IOP Conf. Ser.: Mater. Sci. Eng., vol. 1022, no. 1, p. 012028, 2021, doi: 10.1088/1757-899X/1022/1/012028.

S. B. Sarkar and B. C. Mohan, “Review on autonomous vehicle challenges,” in Proc. 1st Int. Conf. Artif. Intell. Cogn. Comput., Singapore: Springer, 2019, pp. 593–603, doi:10.1007/978-981-13-1580-0_57.

J. Wang, L. Zhang, Y. Huang, and J. Zhao, “Safety of autonomous vehicles,” J. Adv. Transp., vol. 2020, Art. no. 8867757, 2020, doi: 10.1155/2020/8867757.

Q. Yao, Y. Tian, Q. Wang, and S. Wang, “Control strategies on path tracking for autonomous vehicle: State of the art and future challenges,” IEEE Access, vol. 8, pp. 161211–161222, 2020, doi: 10.1109/ACCESS.2020.3020075.

A. Norouzi, H. Heidarifar, H. Borhan, M. Shahbakhti, and C. R. Koch, “Integrating machine learning and model predictive control for automo-tive applications: A review and future directions,” Eng. Appl. Artif. Intell., vol. 120, p. 105878, 2023, doi:10.1016/j.engappai.2023.105878.

F. Lin, S. Wang, Y. Zhao, & Y. Cai, "Research on autonomous vehicle path tracking control considering roll stability", Proceedings of the Insti-tution of Mechanical Engineers, Part D: Journal of Automobile Engineering, vol. 235, no. 1, p. 199-210, 2020, doi: 10.1177/0954407020942006.

J. Guo, H. Zhe, D. Shi, & R. Li, "Research on intelligent vehicle adaptive control technology considering vehicle yaw and roll stability", Interna-tional Conference on Algorithms, High Performance Computing, and Artificial Intelligence (AHPCAI 2024), p. 140, 2024, doi: 10.1117/12.3051813.

E. F. Camacho and C. B. Alba, Model Predictive Control. Springer Science & Business Media, 2013.

M. T. Augustine, “Model Predictive Control Using MATLAB,” arXiv preprint, arXiv:2309.00293 [math.OC], 2023, doi: 10.48550/arXiv.2309.00293.

T. Chen, Y. Cai, L. Chen, X. Xu, and X. Sun, “Trajectory tracking control of steer-by-wire autonomous ground vehicle considering the complete failure of vehicle steering motor,” Simul. Model. Pract. Theory, vol. 109, p. 102235, 2021, doi: 10.1016/j.simpat.2020.102235.

E. Peasley, An Introduction to Using Simulink. University of Oxford, Department of Engineering Science, 2013.

Mechanical Simulation Corporation, Introduction to CarSim, 2021.

J. Hu, S. Xiong, J. Zha, and C. Fu, “Lane detection and trajectory tracking control of autonomous vehicle based on model predictive control,” Int. J. Automot. Technol., vol. 21, no. 2, pp. 285–295, 2020, doi: 10.1007/s12239-020-0027-6.

F. Jia, H. Jing, Z. Liu, and M. Gu, “Cooperative control of yaw and roll motion for in-wheel motor vehicle with semi-active suspension,” Proc. Inst. Mech. Eng. D: J. Automob. Eng., vol. 236, no. 1, pp. 3–15, 2022, doi: 10.1177/09544070211020827.

N. Lasic, “Optimal vehicle dynamics—yaw rate and side slip angle control using 4-wheel steering,” Thesis, Department of Automatic Control, Lund University, 2002.

X. Zhang and H. He, “Real-time estimation of vehicle slip angle using a nonlinear observer,” Sensors, vol. 22, no. 1, p. 20, 2022, doi: 10.3390/s22082991.

A. N. Tuan and B. H. Thang, “Research on determining the limited roll angle of vehicle,” in Int. Conf. Eng. Res. Appl., Cham: Springer, 2019, pp. 613–619, doi: 10.1007/978-3-030-37497-6_70.

C.-C. Zhang, Q.-S. Xia, and L. He, “A study on the influence of sideslip angle at mass center on vehicle stability,” Automot. Eng., vol. 33, no. 4, pp. 5–10, 2011.

C. Chen and J. Zhang, “Dynamic modeling and analysis of autonomous vehicles based on lateral acceleration,” Veh. Syst. Dyn., vol. 60, no. 6, pp. 987–1005, 2022, doi: 10.1007/s42405-022-00503-1.

J. Kontos, B. Kránicz, and Á. Vathy-Fogarassy, “Prediction for future yaw rate values of vehicles using long short-term memory network,” Sen-sors, vol. 23, no. 12, p. 5670, 2023, doi: 10.3390/s23125670.

P. E. Uys, P. S. Els, and M. J. Thoresson, “Criteria for handling measurement,” J. Terramechanics, vol. 43, no. 1, pp. 43–67, 2006, doi: 10.1016/j.jterra.2004.08.005.

E. Kutluay and H. Winner, “Assessment methodology for validation of vehicle dynamics simulations using double lane change maneuver,” in Proc. 2012 Winter Simul. Conf. (WSC), pp. 1–12, 2012, doi: 10.1109/WSC.2012.6465027

Kementerian Perhubungan, Peraturan Menteri Perhubungan, Republik Indonesia, 2015.

Downloads

Published

2025-04-17

How to Cite

1.
Yamin M, Mumtaz MM, Firmansyah R. Handling and Stability Analysis of an Autonomous Vehicle Using Model Predictive Control in a CarSim–Simulink Co-Simulation Environment. Int. J. Innov. Mech. Eng. Adv. Mater [Internet]. 2025 Apr. 17 [cited 2026 Jun. 3];7(2):98-107. Available from: https://publikasi.mercubuana.ac.id/index.php/ijimeam/article/view/31812

Issue

Section

Articles

Similar Articles

<< < > >> 

You may also start an advanced similarity search for this article.