Research Article

Adaptive Lane-Change Trajectory Planning and MPC-Based Tracking Control for Rear-End Collision Avoidance Under Varying Road Friction Conditions

Volume: 10 Number: 3 October 3, 2026

Adaptive Lane-Change Trajectory Planning and MPC-Based Tracking Control for Rear-End Collision Avoidance Under Varying Road Friction Conditions

Abstract

Rear-end collision avoidance is one of the most critical active safety features in modern vehicles. This paper proposes a steering-based rear-end collision avoidance strategy designed to enhance vehicle safety and stability under various driving conditions. Collision avoidance is achieved through lateral maneuvering using a smooth and feasible trajectory generated by a quintic polynomial. To ensure dynamic feasibility and vehicle stability, the minimum feasible lane change time is determined according to allowable lateral acceleration limited by the available tire-road friction. Unlike conventional approaches that assume a fixed lane-change time, the proposed method adapts the maneuver according to road conditions, thereby reducing the risk of instability, particularly on low-friction roads. To accurately track the generated trajectory, a Model Predictive Control (MPC) controller is employed. Simulation results using MATLAB/Simulink demonstrate that the proposed approach successfully achieves collision avoidance while maintaining vehicle stability and acceptable ride comfort under different driving conditions. Furthermore, a comparative analysis with a conventional fixed lane-change strategy shows that the proposed adaptive approach significantly improves vehicle stability and path tracking performance under low-friction road conditions. Specifically, at μ = 0.4, the adaptive strategy maintains tire slip angle within ±1.5°, well below the 3°–4° linear stability limit and reduces peak acceleration by 44% compared to the fixed lane-change strategy. The results confirm that the proposed approach effectively prevents excessive lateral acceleration and vehicle instability, ensuring safe obstacle avoidance on wet roads.

Keywords

References

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Details

Primary Language

English

Subjects

Automotive Safety Engineering, Automotive Engineering (Other)

Journal Section

Research Article

Publication Date

October 3, 2026

Submission Date

June 5, 2026

Acceptance Date

July 10, 2026

Published in Issue

Year 2026 Volume: 10 Number: 3

APA
Makhlouf, E., Abd-El-Tawwab, A., Makrahy, M., & Hassan, M. (2026). Adaptive Lane-Change Trajectory Planning and MPC-Based Tracking Control for Rear-End Collision Avoidance Under Varying Road Friction Conditions. International Journal of Automotive Science And Technology, 10(3), 672-691. https://doi.org/10.30939/ijastech..1963083
AMA
1.Makhlouf E, Abd-El-Tawwab A, Makrahy M, Hassan M. Adaptive Lane-Change Trajectory Planning and MPC-Based Tracking Control for Rear-End Collision Avoidance Under Varying Road Friction Conditions. IJASTECH. 2026;10(3):672-691. doi:10.30939/ijastech.1963083
Chicago
Makhlouf, Eslam, Ali Abd-El-Tawwab, Mostafa Makrahy, and Mohamed Hassan. 2026. “Adaptive Lane-Change Trajectory Planning and MPC-Based Tracking Control for Rear-End Collision Avoidance Under Varying Road Friction Conditions”. International Journal of Automotive Science And Technology 10 (3): 672-91. https://doi.org/10.30939/ijastech. 1963083.
EndNote
Makhlouf E, Abd-El-Tawwab A, Makrahy M, Hassan M (October 1, 2026) Adaptive Lane-Change Trajectory Planning and MPC-Based Tracking Control for Rear-End Collision Avoidance Under Varying Road Friction Conditions. International Journal of Automotive Science And Technology 10 3 672–691.
IEEE
[1]E. Makhlouf, A. Abd-El-Tawwab, M. Makrahy, and M. Hassan, “Adaptive Lane-Change Trajectory Planning and MPC-Based Tracking Control for Rear-End Collision Avoidance Under Varying Road Friction Conditions”, IJASTECH, vol. 10, no. 3, pp. 672–691, Oct. 2026, doi: 10.30939/ijastech..1963083.
ISNAD
Makhlouf, Eslam - Abd-El-Tawwab, Ali - Makrahy, Mostafa - Hassan, Mohamed. “Adaptive Lane-Change Trajectory Planning and MPC-Based Tracking Control for Rear-End Collision Avoidance Under Varying Road Friction Conditions”. International Journal of Automotive Science And Technology 10/3 (October 1, 2026): 672-691. https://doi.org/10.30939/ijastech. 1963083.
JAMA
1.Makhlouf E, Abd-El-Tawwab A, Makrahy M, Hassan M. Adaptive Lane-Change Trajectory Planning and MPC-Based Tracking Control for Rear-End Collision Avoidance Under Varying Road Friction Conditions. IJASTECH. 2026;10:672–691.
MLA
Makhlouf, Eslam, et al. “Adaptive Lane-Change Trajectory Planning and MPC-Based Tracking Control for Rear-End Collision Avoidance Under Varying Road Friction Conditions”. International Journal of Automotive Science And Technology, vol. 10, no. 3, Oct. 2026, pp. 672-91, doi:10.30939/ijastech. 1963083.
Vancouver
1.Eslam Makhlouf, Ali Abd-El-Tawwab, Mostafa Makrahy, Mohamed Hassan. Adaptive Lane-Change Trajectory Planning and MPC-Based Tracking Control for Rear-End Collision Avoidance Under Varying Road Friction Conditions. IJASTECH. 2026 Oct. 1;10(3):672-91. doi:10.30939/ijastech. 1963083


International Journal of Automotive Science and Technology (IJASTECH) is published by Society of Automotive Engineers Turkey

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