Simulation of an Anti-Lock Braking System in a MATLAB/Simulink Environment for Various Road Adhesion Properties
Abstract
Driving safety is very important to every vehicle user. Automobile manufacturers compete by introducing increasingly advanced safety systems, which, when combined with appropriate driver response, help prevent road accidents. The demand for such systems in vehicles has been driven mainly by the dynamic development of automotive industry and continually increasing number of vehicles on the road. This paper deals with safety systems that monitor wheel longitudinal slip, with emphasis on testing an anti-lock braking system (ABS) in a MATLAB/Simulink environment. The aim of the work is to describe the development and operation of ABS, electronic stability program (ESP), acceleration slip regulation (ASR) and electronic brakeforce distribution (EBD) systems, and to develop a simulation model of ABS. The relationship between the tire-to-road adhesion coefficient and longitudinal wheel slip was modeled using the Magic Formula equation. The contribution of this system to the vehicle’s braking process on various surfaces (dry asphalt, wet asphalt, snow, and ice) and at various initial velocities was analyzed. In particular, braking distance as a function of time comparing scenarios with ABS activated and deactivated is presented. The structure of the paper includes a theoretical part overviewing automotive safety systems, a description of the ABS model, and an analysis of the results.
Keywords:
automotive safety systems, ABS, ESP, ASR, EBD, active safety systems, Magic FormulaReferences
- Jurecki R.S., Stańczyk T.L., Modelling driver’s behaviour while avoiding obstacles, Applied Sciences, 13(1): 616, 2023, https://doi.org/10.3390/app13010616.
- Jurecki R.S., Stańczyk T.L., Jaśkiewicz M.J., Driver’s reaction time in a simulated, complex road incident, Transport, 32(1): 44–54, 2017, https://doi.org/10.3846/16484142.2014.913535.
- Jurecki R.S., Jaśkiewicz M.J., Guzek M., Lozia Z., Zdanowicz P., Driver’s reaction time under emergency braking a car – Research in a driving simulator, Eksploatacja i Niezawodność – Maintenance and Reliability, 14(4): 295–301, 2012.
- Ružić D., Bratić D., Nikolić N., Stojić B., Mačužić-Saveljić S., Investigation of a driver’s reaction time and reading accuracy of speedometers on different instrument clusters of passenger cars, Applied Sciences, 15(4): 1879, 2025, https://doi.org/10.3390/app15041879.
- Lozia Z., Guzek M., System to assist the driver during a single lane change maneuver, in the conditions of danger arising from a change in the condition of the road surface, Applied Sciences, 14(23): 11398, 2024, https://doi.org/10.3390/app142311398.
- Choi Y., Yang S., Park Y., Choi C., Lee EC., Feasibility study on contactless feature analysis for early drowsiness detection in driving scenarios, Electronics, 14(4): 662, 2025, https://doi.org/10.3390/electronics14040662.
- Essahraui S., Lamaakal I., El Hamly I., Maleh Y., Ouahbi I., El Makkaoui K., Filali Bouami M., Pławiak P., Alfarraj O., Abd El-Latif AA., Real-time driver drowsiness detection using facial analysis and machine learning techniques, Sensors, 25(3): 812, 2025, https://doi.org/10.3390/s25030812.
- Lorenčič V., The effect of tire age and anti-lock braking system on the coefficient of friction and braking distance, Sustainability, 15(8): 6945, 2023, https://doi.org/10.3390/su15086945.
- García Torres C.J., Ferré Covantes L.A., Vaca García C.C., Estrada Gutiérrez J.C., Guzmán A.N., Acosta Lúa C., A Lyapunov stability analysis of modified HOSM controllers using a PID-Sliding surface applied to an ABS laboratory setup, Applied Sciences, 12(8): 3796, 2022, https://doi.org/10.3390/app12083796.
- Girovský P., Žilková J., Kaňuch J., Optimization of vehicle braking distance using a fuzzy controller, Energies, 13(11): 3022, 2020, https://doi.org/10.3390/en13113022.
- Seyyed Esmaeili J., Başçi A., Farnam A., Design and verification of offline robust model predictive controller for wheel slip control in ABS brakes, Machines, 11(8): 803, 2023, https://doi.org/10.3390/machines11080803.
- Chu L., Li J., Guo Z., Jiang Z., Li S., Du W., Wang Y., Guo C., RBS and ABS coordinated control strategy based on explicit model predictive control, Sensors, 24(10): 3076, 2024, https://doi.org/10.3390/s24103076.
- Meléndez-Useros M., Jiménez-Salas M., Viadero-Monasterio F., Boada B.L., Tire slip H∞ control for optimal braking depending on road condition, Sensors, 23(3): 1417, 2023, https://doi.org/10.3390/s23031417.
- Lv L., Wang J., Long J., Interval type-2 fuzzy logic anti-lock braking control for electric vehicles under complex road conditions, Sustainability, 13(20): 11531, 2021, https://doi.org/10.3390/su132011531.
- Castillo Aguilar J.J., Cabrera Carrillo J.A., Guerra Fernández A.J., Carabias Acosta E., Robust road condition detection system using in-vehicle standard sensors, Sensors, 15(12): 32056–32078, 2015, https://doi.org/10.3390/s151229908.
- Guo J., Jian X., Lin G., Performance evaluation of an anti-lock braking system for electric vehicles with a fuzzy sliding mode controller, Energies, 7(10): 6459–6476, 2014, https://doi.org/10.3390/en7106459.
- Ko S., Song C., Park J., Ko J., Yang I., Kim H., Comparison of braking performance by electro-hydraulic ABS and motor torque control for in-wheel electric vehicle, World Electric Vehicle Journal, 6(1): 186–191, 2013, https://doi.org/10.3390/wevj6010186.
- Ji F., Tian M., Research on braking stability of electro-mechanical hybrid braking system in electric vehicles, World Electric Vehicle Journal, 4(1): 217–223, 2010, https://doi.org/10.3390/wevj4010217.
- Kovalchuk S., Goryk O., Burlaka O., Kelemesh A., Evaluation of the strength of the truck tractor’s frame under emergency braking conditions, The Archives of Automotive Engineering – Archiwum Motoryzacji, 105(3): 74–87, 2024, https://doi.org/10.14669/AM/192345.
- Akhmedov D., Riskaliev D., Modeling of full vehicle dynamics for enhanced stability control, The Archives of Automotive Engineering – Archiwum Motoryzacji, 105(3): 88–102, 2024, https://doi.org/10.14669/AM/192666.
- Esteem P.L., Ramalingam V.V., Kasi R.K., Ramasamy P., Development and tribological characterization of semi-metallic brake pads for automotive applications, The Archives of Automotive Engineering – Archiwum Motoryzacji, 102(4): 5–25, 2023, https://doi.org/10.14669/AM/177327.
- Design. Simulate. Deploy, https://www.mathworks.com/products/simulink.html. (retrieved on: 2024.10.26).
- Toyota Yaris 2. Technical Data [in Polish], https://www.ultimatespecs.com/pl/samochody-dane-techniczne/Toyota/M361/Yaris-2. (retrieved on: 2024.10.26).
- Tire-Road Interaction (Magic Formula), https://www.mathworks.com/help/physmod/sdl/ref/tireroadinteractionmagicformula.html. (retrieved on: 2021.12.04).
- Pacejka H.B., Tire and Vehicle Dynamics, Elsevier 2012.
- Tadej M., Tadej M., Czech P, Gustof P., Hornik A., Jędrusik D., The impact of the ABS system on the achieved braking deceleration value of a passenger car [in Polish: Wpływ działania układu ABS na osiąganą wartość opóźnienia hamowania samochodu osobowego], Autobusy, 17(12): 447–453, 2016.