The straight-line stability analysis of the vehicle with the electronic stability control

Abstract

BACKGROUND: At present time, branches of industry have been increasingly filled with electronics, capable of controlling different processes in order to achieve demanded paremeters values. Automotive industry, safety issues of which such as vehicle stability and handling are paid much attention, have not become an exclusion. Vehicle safety improvement is one of the areas of development of modern auto-motive industry. Manufacturers permanentally increase the number of control systems and raise the level of control on wheeled vehicle motion parameters in order to achieve the highest possible level of stability and handling. Using of various all-wheel-drive systems becomes more relevant and reasonable. Traction force distribution between all wheels improves dynamic performance indicators, makes cross-country ability better in similar road conditions and allows using algorithms, improving handling and course-keeping ability of a vehicle.

AIMS: Determination of variation range of the control parameter in order to ensure stable straight-line motion of a vehicle with controlled transmission.

MATERIALS AND METHODS: The two-axled vehicle, which transmission has an ability of torque distribution between front and rear axles, is considered in the article. The system of diiferential equations in terms of “middle” wheels side slip angles was made up in the study. The Liénard–Chipart algebraic cri-terion was used to define variation ranges of the control parameter in order to ensure stable straight-line motion of the vehicle.

RESULTS: The obtained variation ranges of the control parameter are included in the adjustment range of modern torque distribution mechanisms, consequently, it is possible to speak about ability to ensure stability of straight-line motion of a full-wheel-driven vehicle with currently existing mechanisms. The scientific novelty of the study lies in analytical determination of variation range of the control parameter for the case of straight-line motion of a vehicle equipped with the electronic stability control.

CONCLUSIONS: Practical value of the study lies in establishment of ability to ensure stability of straight-line motion of a full-wheel-driven vehicle with currently existing mechanisms.

Keywords

two-axled all-wheel-driven vehicles / vehicle stability / torque distribution / the Lié-nard–Chipart criterion

References

[1] Litvinov AS. Ustoichivost’ i upravlyaemost’ avtomobilya. Moscow: Mashinostroenie; 1971. (In Russ).

[2] Литвинов А.С. Устойчивость и управляемость автомобиля. Москва: Машиностроение, 1971.

[3] Antonov DA. Raschet ustoichivosti dvizheniya mnogoosnykh avtomobilei. Moscow: Mashinostroenie; 1984. (In Russ).

[4] Антонов Д.А. Расчет устойчивости движения многоосных автомобилей. Москва: Машиностроение, 1984.

[5] Ellis DR. Upravlyaemost’ avtomobilya: per. s angl. Moscow: Mashinostroenie; 1975. (In Russ).

[6] Эллис Д.Р. Управляемость автомобиля: пер. с англ. Москва: Машиностроение, 1975.

[7] Stepan M, Kulhanek J, Wagnerova R. Implementation of ESP algorithm in LabView cRIO. Proceedings of the IEEE 2015 16th International Carpathian Control Conference (ICCC). 2015 May 27–30. Szilvasvarad, Hungary. P. 507–512. doi: 10.1109/CarpathianCC.2015.7145132

[8] Stepan M., Kulhanek J., Wagnerova R. Implementation of ESP algorithm in LabView cRIO. Proceedings of the IEEE 2015 16th International Carpathian Control Conference (ICCC). 2015 May 27–30. Szilvasvarad, Hungary. P. 507–512. doi: 10.1109/CarpathianCC.2015.7145132

[9] Zhang L, Wang GY, Chen GY, Zhang ZF. The Vehicles ESP Test System Based on Active Braking Control. Advanced Materials Research. 2012;588-589:1552–1559. doi: 10.4028/www.scientific.net/AMR.588-589.1552

[10] Zhang L., Wang G.Y., Chen G.Y., Zhang Z.F. The Vehicles ESP Test System Based on Active Braking Control // Advanced Materials Research. 2012. Vol. 588–589, P. 1552–1559. doi: 10.4028/www.scientific.net/AMR.588-589.1552

[11] Independent Torque Distribution Strategies for Vehicle Stability Control, in World Congress of the Society of Automotive Engineers. Available from: https://cecas.clemson.edu/ayalew/Papers/Vehicle%20Systems%20Dynamics%20and%20Control/Papers/Independent%20Torque%20Distribution%20Strategies%20for%20Vehicle%20Stability%20Control/2009-01-0456.pdf Accessed: Aug 15, 2022.

[12] Independent Torque Distribution Strategies for Vehicle Stability Control, in World Congress of the Society of Automotive Engineers. Режим доступа: https://cecas.clemson.edu/ayalew/Papers/Vehicle%20Systems%20Dynamics%20and%20Control/Papers/Independent%20Torque%20Distribution%20Strategies%20for%20Vehicle%20Stability%20Control/2009-01-0456.pdf Дата обращения: 15.08.2022.

[13] Osborn RP, Shim T. Independent control of all-wheel-drive torque distribution. Vehicle system dynamics. 2006; 44(7):529–546.

[14] Osborn R. P., Shim T. Independent control of all-wheel-drive torque distribution // Vehicle system dynamics. 2006. Vol. 44. № 7. P. 529–546.

[15] Zhilejkin MM, Ehranosyan AV. Improvement of four-wheel drive vehicle controllability with a connected front axle through the redistribution of torque. Izvestiya MGTU MAMI. 2019;13(1):77–84. doi: 10.31992/2074-0530-2019-39-1-77-84

[16] Жилейкин, М. М., Эраносян А. В. Повышение управляемости автомобилей 4х4 с подключаемой передней осью путем перераспределения крутящих моментов // Известия МГТУ МАМИ. 2019. № 1. С. 77–84. doi: 10.31992/2074-0530-2019-39-1-77-84

[17] Zhileykin M, Eranosyan A. Algorithms for dynamic stabilization of rear-wheel drive two-axis vehicles with a plug-in rear axle. IOP Conference Series: Materials Science and Engineering. 2020;963(1). doi: 10.1088/1757-899x/963/1/012010

[18] Zhileykin M., Eranosyan A. Algorithms for dynamic stabilization of rear-wheel drive two-axis vehicles with a plug-in rear axle // IOP Conference Series: Materials Science and Engineering. 2020. Vol. 963, N 1. doi: 10.1088/1757-899x/963/1/012010

[19] Zhileykin M, Eranosyan A. Method of torque distribution between the axles and the wheels of the rear axle to improve the manageability of two-axle all-wheel drive vehicles. IOP Conference Series: Materials Science and Engineering. 2020;820(1). doi: 10.1088/1757-899x/820/1/012008

[20] Zhileykin M., Eranosyan A. Method of torque distribution between the axles and the wheels of the rear axle to improve the manageability of two-axle all-wheel drive vehicles // IOP Conference Series: Materials Science and Engineering. 2020. Vol. 820, N 1. doi: 10.1088/1757-899x/820/1/012008

[21] Antonyan A, Zhileykin M, Eranosyan A. The algorithm of diagnosing the development of a skid when driving a two-axle vehicle. IOP Conference Series: Materials Science and Engineering. 2020;820(1). doi: 10.1088/1757-899x/820/1/012003

[22] Antonyan A., Zhileykin M., Eranosyan A. The algorithm of diagnosing the development of a skid when driving a two-axle vehicle // IOP Conference Series: Materials Science and Engineering. 2020. Vol. 820, N 1. P. doi: 10.1088/1757-899x/820/1/012003

[23] Mammar S, Baghdassarian VB. Two-degree-of-freedom formulation of vehicle handling improvement by active steering: Proceedings of the 2000 American Control Conference 2000 Jun 28–30; Chicago, IL, USA. P. 105–109.

[24] Mammar S., Baghdassarian V.B. Two-degree-of-freedom formulation of vehicle handling improvement by active steering: Proceedings of the 2000 American Control Conference 2000 Jun 28–30; Chicago, IL, USA. P. 105–109.

[25] Ryazantsev VI. Aktivnoe upravlenie skhozhdeniem koles avtomobilya. Moscow: MGTU im. N.E. Baumana; 2007. (In Russ).

[26] Рязанцев В.И. Активное управление схождением колес автомобиля. Москва: МГТУ им. Н.Э. Баумана, 2007.

[27] Evaluation of an active steering system. Master’s degree project. Available from: https://kipdf.com/evaluation-of-an-active-steering-system_5ab61fa91723dd339c813321.html Accessed: Aug 15, 2022.

[28] Evaluation of an active steering system. Master’s degree project. Режим доступа: https://kipdf.com/evaluation-of-an-active-steering-system_5ab61fa91723dd339c813321.html Дата обращения: 15.08.2022.

[29] Mokhiamar O, Abe M. Active wheel steering and yaw moment control combination to maximize stability as well as vehicle responsiveness during quick lane change for active vehicle handling safety. Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering. 2005;216(2):115–124. doi: 10.1243/0954407021528968

[30] Mokhiamar O., Abe M. Active wheel steering and yaw moment control combination to maximize stability as well as vehicle responsiveness during quick lane change for active vehicle handling safety // Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering. 2005. Vol. 216, N 2. P. 115–124. doi: 10.1243/0954407021528968

RIGHTS & PERMISSIONS

Eranosyan A.V.