journal article·2025-01-20Open access

Optimized Super-Twisting Sliding Mode Control with Parameter Estimation for Autonomous Vehicle Longitudinal Motion on Downhill Road

Kbrom Lbsu Gdey, Woo Young Choi

Applied Sciences· Volume 15· Issue 2

Abstract

Longitudinal motion control is a critical aspect of autonomous vehicle area, requiring a well-designed controller to ensure optimal system performance, safety, and comfort under varying driving conditions. Previous control methods often face challenges such as chattering effects, and model uncertainties. To address such challenges, in this paper, we propose the application of an optimized super-twisting sliding mode control (OST-SMC) for the longitudinal motion control of autonomous vehicles. The motivation is to enhance the robustness and efficiency of the control system while minimizing the chattering problem. The proposed system’s mathematical modeling and control design are presented in detail with stability analyzed using Lyapunov theory. To enhance the controller’s performance, uncertain parameters are optimized using the gradient descent method, a linear regression-based technique. The OST-SMC algorithm shows enhanced robustness against disturbances and parameter uncertainties compared to conventional sliding mode controllers. Simulations in MATLAB/Simulink and CarMaker validate the proposed method, demonstrating strong performance even on downhill roads. The OST-SMC reduces chattering more effectively than traditional SMCs, achieving smooth tracking and consistent robustness under varying road conditions.
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Research context

OpenAlex topics: Vehicle Dynamics and Control Systems · Real-time simulation and control systems · Hydraulic and Pneumatic Systems

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

Department of Intelligent Robot Engineering, Pukyong National University, Busan 48513, Republic of Korea

Department of Control and Instrumentation Engineering, Pukyong National University, Busan 48513, Republic of Korea

Funding

National Research Foundation (NRF) · Smart Robot Convergence and Application Education Research Center · Korea government (MSIT) · Ministry of SMEs and Startups(MSS, Korea)

References (38)

Show source-provided references
1. Rajamani, R. (2011). Vehicle Dynamics and Control, Springer Science & Business Media.10.1007/978-1-4614-1433-9_2 ↗
2. A safe longitudinal control for adaptive cruise control and stop-and-go scenarios10.1109/TCST.2006.886432 ↗
3. Tanelli, M., Savaresi, S.M., and Cantoni, C. (2006, January 4–6). Longitudinal vehicle speed estimation for traction and braking control systems. Proceedings of the 2006 IEEE Conference on Computer Aided Control System Design, Munich, Germany.10.1109/CCA.2006.286032 ↗
4. Rizk, H., Chaibet, A., and Kribèche, A. (2023). Model-based control and model-free control techniques for autonomous vehicles: A technical survey. Appl. Sci., 13.10.3390/app13116700 ↗
5. On-road object collision point estimation by radar sensor data fusion10.1109/TITS.2021.3133290 ↗
6. Rout, M., Sain, D., Swain, S., and Mishra, S. (2016, January 3–5). PID controller design for cruise control system using genetic algorithm. Proceedings of the 2016 International Conference on Electrical, Electronics, and Optimization Techniques (ICEEOT), Chennai, India.10.1109/ICEEOT.2016.7755502 ↗
7. Horizonwise model-predictive control with application to autonomous driving vehicle10.1109/TII.2021.3137169 ↗
8. Osman, K., Rahmat, M.F., and Ahmad, M.A. (2009, January 6–8). Modelling and controller design for a cruise control system. Proceedings of the 2009 5th International Colloquium on Signal Processing & Its Applications, Kuala Lumpur, Malaysia.10.1109/CSPA.2009.5069228 ↗
9. Sliding mode control with soft computing: A survey10.1109/TIE.2009.2027531 ↗
10. Liu, J., Wang, X., Liu, J., and Wang, X. (2011). Advanced Sliding Mode Control, Springer.10.1007/978-3-642-20907-9 ↗
11. Mohd Zaihidee, F., Mekhilef, S., and Mubin, M. (2019). Robust speed control of PMSM using sliding mode control (SMC)—A review. Energies, 12.10.3390/en12091669 ↗
12. Modeling and design of cruise control system with feedforward for all terrian vehicles
13. Asere, H., Lei, C., and Jia, R. (2015, January 9–12). Cruise control design using fuzzy logic controller. Proceedings of the 2015 IEEE International Conference on Systems, Man and Cybernetics, Hong Kong, China.10.1109/SMC.2015.386 ↗
14. Pradhan, R., and Pati, B.B. (2018, January 27–28). Optimal FOPID controller for an automobile cruise control system. Proceedings of the 2018 International Conference on Recent Innovations in Electrical, Electronics & Communication Engineering (ICRIEECE), Bhubaneswar, India.10.1109/ICRIEECE44171.2018.9008957 ↗
15. Optimized robust cruise control system for an electric vehicle
16. Yuan, Q., Liu, Z., Chen, H., and Tian, Y. (November, January 29). A cruise control for electric vehicle based on ADRC controller considering driver’s behavior. Proceedings of the IECON 2017—43rd Annual Conference of the IEEE Industrial Electronics Society, Beijing, China.10.1109/IECON.2017.8216792 ↗
17. Huo, H., and Li, J. (1999, January 9). Cruise control based on gain scheduling PI diesel engine speed controller. Proceedings of the IEEE International Vehicle Electronics Conference (IVEC’99) (Cat. No. 99EX257), Changchun, China.
18. Khodayari, A., Ghaffari, A., Ameli, S., and Flahatgar, J. (2010, January 10–12). A historical review on lateral and longitudinal control of autonomous vehicle motions. Proceedings of the 2010 International Conference on Mechanical and Electrical Technology, Singapore.10.1109/ICMET.2010.5598396 ↗
19. Sliding order and sliding accuracy in sliding mode control10.1080/00207179308923053 ↗
20. Finite time stability and robust control synthesis of uncertain switched systems10.1137/S0363012903425593 ↗
21. Isermann, R. (1995). Nonlinear distance and cruise control for passenger cars. Advances in Automotive Control 1995, Pergamon.10.1016/B978-0-08-042589-4.50034-0 ↗
22. Smooth second-order sliding modes: Missile guidance application10.1016/j.automatica.2007.01.008 ↗
23. Deep Learning-Based Hybrid Dynamic Modeling and Improved Handling Stability Assessment for Autonomous Vehicles At Driving Limits
24. Longitudinal collision avoidance and lateral stability adaptive control system based on MPC of autonomous vehicles10.1109/TITS.2019.2918176 ↗
25. Tu, Q. (2023). MPC Based Car-Following Control Considering Uphill and Downhill, SAE. Technical Report; SAE Technical Paper.10.4271/2023-01-0691 ↗
26. Choi, W.Y., and Chung, C.C. (2024). Optimizing Look-Ahead Distance for Vehicle Lateral Control: A Controller-Adaptive Approach. IEEE Trans. Intell. Veh., early access.10.1109/TIV.2024.3488057 ↗
27. Robust vehicular lane-tracking control with a winding road disturbance compensator10.1109/TII.2020.3036103 ↗
28. Towards human-like speed control in autonomous vehicles: A mountainous freeway case10.1016/j.aap.2022.106566 ↗
29. A lateral and longitudinal dynamics control framework of autonomous vehicles based on multi-parameter joint estimation10.1109/TVT.2022.3163507 ↗
30. Zhou, Y., Pan, M., Guan, W., Cao, X., Chen, H., and Yuan, L. (2023). A Novel Longitudinal Control Method Integrating Driving Style and Slope Prediction for High-Efficiency HD Vehicles. Appl. Sci., 13.10.3390/app132111968 ↗
31. Ripaccioli, G., Bemporad, A., Assadian, F., Dextreit, C., Di Cairano, S., and Kolmanovsky, I.V. (2009, January 13–15). Hybrid modeling, identification, and predictive control: An application to hybrid electric vehicle energy management. Proceedings of the Hybrid Systems: Computation and Control: 12th International Conference, HSCC 2009, San Francisco, CA, USA.10.1007/978-3-642-00602-9_23 ↗
32. Model-based predictive engine torque control for improved drivability10.1177/0954407017733867 ↗
33. Utkin, V.I. (2013). Sliding Modes in Control and Optimization, Springer Science & Business Media.
34. Shtessel, Y., Edwards, C., Fridman, L., and Levant, A. (2014). Sliding Mode Control and Observation, Springer.10.1007/978-0-8176-4893-0 ↗
35. Strict Lyapunov functions for the super-twisting algorithm10.1109/TAC.2012.2186179 ↗
36. StanfordOnline (2024, November 28). Machine Learning Lecture. Available online: https://youtu.be/4b4MUYve_U8.
37. Bishop, C.M., and Nasrabadi, N.M. (2006). Pattern Recognition and Machine Learning, Springer.
38. Fu, K. (1968). Sequential Methods in Pattern Recognition and Machine Learning, Academic Press.