Vehicle Drifting

Summary:

Inspired by cornering manoeuvres in races, another vehicle control skill has emerged in 1970s in Japan where the driver tends to intentionally cause the vehicle to turn at a condition which requires counter-steering, i.e. steering towards a direction away from curvature centre of the path. For such a condition to develop, a large negative side-slip angle is needed for the car body to be generated. Commonly, this is achieved by applying large driving or braking torques to the rear wheels to cause an intentional drop in rear lateral forces, and consequently large rear slip angles. Such a condition may be viewed as an induced over-steering.

It is important to note that such vehicle control skills are not only helpful as hobby or sport, but also inspire engineers to develop stabilizing control strategies to mitigate an undesirable condition from the safety point of view. Understanding the vehicle's motion in such manoeuvres helps developing better control frameworks and better design of vehicles and assistive control systems (ADAS), making the passenger vehicles less prone to instabilities.

This research aims to introduce a mathematical definition for drifting of vehicles. A necessary kinematic condition for enabling negative body side-slip angle at centre of the front wheel during a left-hand turn is identified as drifting indicator. Dynamics of the drifting motion is investigated by means of planar vehicle models in steady-state, focusing on Rear Wheel Drive (RWD) vehicles. Drifting point is identified as an unstable equilibrium point of the nonlinear system. The equilibrium point is made stable by means of direct control only over yaw velocity, as a single key stabilising objective, and using the steady-state model as feedforward. A four-wheel planar dynamic simulation model is used together with a combined slip tyre model to investigate the accuracy of the proposed analysis. Steady-state RWD drifting motion is achieved by using the proposed method, validating the proposed dynamics analysis. Finally, the drifting metric is used to measure the amount of drifting achieved during a manoeuvre and its effectiveness is observed.

Keywords: Vehicle Drifting; Nonlinear Vehicle Dynamics; Drift Equilibrium Point; Drift Stabilisation; Yaw Rate Control.

Highlights:

Vehicle Coordinate System

A controller drift manoeuvre simulated using MATLAB/Simulink with a RWD vehicle model. The throttle and steering inputs are visualised at the top of the video. The 7 DOF model follows the planar vehicle dynamics equations, incorporating the combined-slip Magic Formula tyre model.

This video shows my drift training via Drift Cadet on a wet surface with the RWD Toyota 86.

Research Outputs:

  • Development of vehicle and tyre models suitable for analysis of the nonlinear drift motion and combined-slip tyre fore conditions (i.e. simultaneous braking/acceleration and steering).

  • Model validation using ADAMS Car.

  • Discovery of new dynamic equilibria for the drifting vehicles.

  • Development of a drift simulation environment in MATLAB/Simulink.

  • Publication: Milani, S., Marzbani, H. and N. Jazar, R. (2020). Vehicle Drifting Dynamics: Discovery of New Equilibria. Vehicle System Dynamics, Taylor & Francis. (https://doi.org/10.1080/00423114.2021.1887499 )

  • Publication: Milani, S., Marzbani, H., Jazar, R.N. (2020). Vehicle Drifting: Mathematical Theory and Dynamic Analysis. Int. J. of Advanced Mechatronic Systems (IJAMECHS), Inderscience. (https://dx.doi.org/10.1504/IJAMECHS.2021.115404)

  • Publication: Milani, S., Marzbani, H., Khazaei, A., Simic, M. and Jazar, R.N., 2019. Elliptical Combined-Slip Tire Model in Vehicle Dynamics. In Innovation in Medicine and Healthcare Systems, and Multimedia (pp. 457-468). Springer, Singapore. (https://doi.org/10.1007/978-981-13-8566-7_42)

  • Publication: Milani, S., Marzbani, H., Khazaei, A., Simic, M. and Jazar, R.N., 2019. Vehicle Dynamics Simulation Using Elliptical Combined-Slip Tire Model. In Innovation in Medicine and Healthcare Systems, and Multimedia (pp. 447-456). Springer, Singapore. (https://doi.org/10.1007/978-981-13-8566-7_41)

  • Publication: Jazar, R., Alam, F., Milani, S., Marzbani, H. and Chowdhury, H., (2020). Mathematical Modelling of Vehicle Drifting; MIST International Journal of Science and Technology, 8, pp.25-29. (https://mijst.mist.ac.bd/mijst/index.php/mijst/article/view/187)