2014
DOI: 10.1504/ijvd.2014.058487
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The relationship between vehicle yaw acceleration response and steering velocity for steering control

Abstract: This paper proposes a novel concept for the modelling of a vehicle steering driver model for path following. The proposed steering driver reformulates and applies the Magic Formula, used for tyre modelling, to the vehicle's yaw acceleration vs. steering velocity response as a function of vehicle speed.The path-following driver model was developed for use in gradient-based mathematical optimisation of vehicle suspension characteristics for handling. Successful application of gradient-based optimisation depends … Show more

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Cited by 5 publications
(4 citation statements)
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“…the steer angle of the previous time‐step. The resultant transfer function for the model is given in (2), where the unmodelled residuals have been dropped, the numerator represents the exogenous inputs, and the denominator the previous samples H )(z = η 0 z n 1 + φ 0 z 1 Re‐writing (2) in the difference form results in (3), where y false~ )(k represents the estimated yaw rate of the vehicle at the current time‐step, y )(k 1 represents the measured yaw rate of the vehicle at the previous time‐step, u )(k n u )(k 1 represents the steering angle of the vehicle at the previous time‐step ( n = 1 as the input dependency's time‐step delay), while φ 0 and η 0 are the weighting parameters on the previous time‐step's yaw rate and previous time‐step's steer angle, respectively y false~ )(k = φ 0 y )(k 1 + η 0 u )(k n To solve for the weighting variables of the ARX‐model, the principle of linear least squares estimation is used, as presented in [26]. This method requires a set of sample points that are used to estimate the weighting variables of (3).…”
Section: Steering Controller Design: Vehicle Modelmentioning
confidence: 99%
“…the steer angle of the previous time‐step. The resultant transfer function for the model is given in (2), where the unmodelled residuals have been dropped, the numerator represents the exogenous inputs, and the denominator the previous samples H )(z = η 0 z n 1 + φ 0 z 1 Re‐writing (2) in the difference form results in (3), where y false~ )(k represents the estimated yaw rate of the vehicle at the current time‐step, y )(k 1 represents the measured yaw rate of the vehicle at the previous time‐step, u )(k n u )(k 1 represents the steering angle of the vehicle at the previous time‐step ( n = 1 as the input dependency's time‐step delay), while φ 0 and η 0 are the weighting parameters on the previous time‐step's yaw rate and previous time‐step's steer angle, respectively y false~ )(k = φ 0 y )(k 1 + η 0 u )(k n To solve for the weighting variables of the ARX‐model, the principle of linear least squares estimation is used, as presented in [26]. This method requires a set of sample points that are used to estimate the weighting variables of (3).…”
Section: Steering Controller Design: Vehicle Modelmentioning
confidence: 99%
“…Directional control is often studied with the aim of developing a driver steering model to be used in conjunction with vehicle simulation models. Thoresson et al (2014) and Kapp and Els (2015) controlled two vehicle states to develop such a driver model, namely the desired yaw acceleration and the lateral offset from the path. The desired yaw acceleration was related to the desired steering wheel input velocity (which is directly proportional to the yaw rate) and was used as the main path following controller.…”
Section: Existing Directional Stability Assessment Criteriamentioning
confidence: 99%
“…By substituting equation (10) in equation (6) and, finally, placing it in equation (4) and then using Laplace operator, equations (4) and (11) are changed into state-space model. Thus, the following general equation will be achieved…”
Section: Vehicle Dynamicmentioning
confidence: 99%
“…Vehicle velocity depends on the road conditions such as the friction coefficient of road surface, which is different for various roads. 11 State predictor-based model reference adaptive control (PMRAC) is capable of resisting against these uncertainties and external disturbances. Comparing to a state observer, state predictor works based on the current state of the system and any other external signals.…”
Section: Introductionmentioning
confidence: 99%