APPLICATION OF PID METHOD TO CONTROL TRACTION ON THE VEHICLES THROUGH CONTROLLING THE BRAKE MOMENT AT THE TWO DRIVING WHEELS
Abstract
A vehicle differential is a device that divides engine power between the two driving wheels and allows the wheels to rotate at different speeds when the vehicle moves on the road. The speed difference depends mainly on the grip between the wheels and the road surface. When the traction acting on both driving wheels is equal,
the differential will distribute traction equally, helping the vehicle move stably on a straight road. However, if one of the two driving wheels rolls on a slippery road, the differential will distribute more engine power to this wheel. As a result, the vehicle’s motion is unstable, engine power is lost, the vehicle cannot move. To solve
the problem, using a limited-slip differential, an active differential or a traction control system is considered an optimal solution. This study uses the brake moment acting on the skidding wheel to redistribute the engine power at the two driving wheels and uses the PID method for traction control at the drive wheels. Survey results show the effectiveness of the designed controller.
Downloads
References
traction control and antilock braking systems of full
electric vehicles with individually controlled electric
motors. IEEE Transactions on Vehicular Technology.
2015;64(9): 3878–3896.
[2] Tai PT, Nhu TV, Dung TQ. Using the Brake Torque
to Redistribute the Engine Power Transmitting to
the Left and Right Drive Wheels. Lecture Notes
in Mechanical Engineering. Springer, Cham. 2021;
https://doi.org/10.1007/978-3-030-69610-8-69.
[3] Jung HS, Kwak BH, Park YJ. Development of traction
control system. Seoul 2000 FISITA world Automotive
congress, Seoul, Korea. 2000.
[4] Zech A, Eberl T, Reichensd orfer E, Odenthal D,
Muller S. Method for developing tire slip controllers
regarding a new cascaded controller structure. In:
14th International Symposium on Advanced Vehicle
Control (AVEC). 2018. p.302–307.
[5] Reichensd orfer E, Odenthal D, Wollherr D. On
the stability of nonlinear wheel-slip zero dynamics
in traction control systems. IEEE Transactions on
Control Systems Technology. 2020;28(2): 489–504.
[6] Reichensd orfer E, Odenthal D, Wollherr D. EngineBased Input-Output Linearization for Traction Control Systems. IFAC Papers Online, Elsevier. 2020;
53(2): 14055–14060.
[7] Zech A, Eberl T, Marx C, Muller S. Analysis of
the potential of a new control approach for traction
control considering a P2-hybrid drivetrain. In: 9th
International Munich Chassis Symposium. Springer;
2019. p.285–303.
[8] Reichensd orfer E, Degel W, Odenthal D, Wollherr
D. Nonlinear traction control design, stability analysis
and experiments for vehicles with on-demand 4WD
torque bias systems. In: 2019 IEEE 58th, Conference on Decision and Control (CDC). IEEE; 2019.
p.6669–6674.
[9] Liu G, Jin LQ. A study of coordinated vehicle traction
control system based on optimal slip ratio algorithm.
Math Probl Eng. 2016; Article ID 3413624.
[10] Ran X, Zhao X, Chen J, C. Yang. Novel coordinated
algorithm for traction control system on split friction
and slope road. Int J Automot Technol. 2016;17: 817–
827.
[11] Jin LQ, Ling M, Li J. Development of a new
traction control system using ant colony optimization. Advances in Mechanical Engineering, SAGE.
2018;10(8): 1–12.
[12] Pacejka HB. Tire and vehicle dynamics. 3rd ed.
Oxford: Butterworth Heinemann; 2012.
[13] Phan Tấn Tài, Trần Văn Như. Nghiên cứu kiểm soát
lực kéo của ô tô khi chuyển động trên đường có hệ số
bám khác nhau ở hai bên bánh xe. Tạp chí Cơ khí Việt.
2021;12/2021: 304–309. [Phan Tan Tai, Tran Van
Nhu. Research on controlling traction of cars when
moving on roads with different traction coefficients
on both sides of the wheel. Vietnam Mechanical
Engineering Journal. 2021;12/2021: 304–309].