Limit braking of a high-performance motorcycle

A mathematical-model-based study of the limit braking of a high-performance motorcycle and rider is described. Front and rear brakes are operable independently. A dry road and high friction are presumed, such that full braking of the front wheel would lead to an overturn or ‘stoppie’ in colloquial parlance. Effective braking needs to maintain some loading on the rear wheel. A planar but otherwise detailed system model is set up and braking strategies for front and rear are devised. Parameters of the braking control schemes are derived with the help of an optimisation process, minimising the final speed in braking from high speed over a fixed time interval. Simulation results are examined critically and the strategy is developed until efficient use of the friction available is made. The nature of optimal braking events is demonstrated. The influences of slipper-clutch torque setting and the rear-tyre target load chosen are shown.     

Dynamic modelling of a two-wheeled vehicle: Jourdain formalism

This paper presents a motorcycle direct dynamic formulation by the Jourdain's principle approach. This vehicle is considered as an assembly of six rigid bodies and the resulting equation of motion allows to simulate 11 degrees of freedom. The vehicle geometry is described and a step-by-step procedure is introduced to evaluate the kinematics and the generalised efforts of the considered vehicle. In addition, to simulate the equation of motion, a Lyapunov-based stabilisation is developed to assess the vehicle behaviour in response to a propulsion/braking torque applied on the vehicle's wheels and a rider torque exerted on the motorcycle's handlebar. Simulation results reveal some dynamic features such as load transfer and counter-steering phenomena.     

Optimal control to modelling motorcycle rider steering: local versus global coordinate systems in rider preview

The response of a motorcycle is heavily dependent on the rider’s control actions, and consequently a means of replicating the rider’s behaviour provides an important extension to motorcycle dynamics. The primary objective here is to develop effective path-following simulations and to understand how riders control motorcycles. Optimal control theory is applied to the tracking of roadway by a motorcycle, using a non-linear motorcycle model operating in free control by steering torque input. A path-following controller with road preview is designed by minimising tracking errors and control effort. Tight controls with high weightings on performance and loose controls with high weightings on control power are defined. Special attention is paid to the modelling of multipoint preview in local and global coordinate systems. The controller model is simulated over a standard single lane-change manoeuvre. It is argued that the local coordinates point of view is more representative of the way that a human rider operates and interprets information. The simulations suggest that for accurate path following, using optimal control, the problem must be solved by the local coordinates approach in order to achieve accurate results with short preview horizons. Furthermore, some weaknesses of the optimal control approach are highlighted here.     

Control Behaviour of Motorcycle Riders

The control behaviour of motorcycle riders is studied by means of a simulation model for the ridermotorcycle system, which stresses the control actions of the riders. The rider model describes the major steering torque control as well as the rider's own body control actions. This simulation model is applied to a single lane change maneuver and the results of this simulation are compared with the experiments in order to examine its validity.     

Real-time estimation of road–tyre adherence for motorcycles

Improving braking skills of a rider supported by a real-time training device embedded in the motorcycle represents a possible strategy to deal with safety issues associated with the use of powered two wheelers. A challenging aspect of the braking trainer system is the evaluation of the adherence between tyre and road surface on each wheel. This paper presents a possible method to evaluate the current and maximum adherence during a braking manoeuvre. The proposed approach was positively validated through multi-body simulations and experimental data acquired in naturalistic riding conditions.     

单轨车辆驾驶员单点预瞄模型的参数优化

使用ADAMS软件建立摩托车的模型,并利用MATLAB软件建立驾驶员模型,构成驾驶员-车辆模型。采用MATLAB和ADAMS协同仿真,得出单移线和双移线工况实际行驶轨迹和手把力矩、侧倾力矩、转向角、侧倾角、横向加速度等。建立了摩托车移线工况的性能综合评价指标,并用此指标对摩托车在不同运动状况下的性能进行评价。以驾驶员模型反馈系数为设计变量,采用正交设计方法优选出一组参数。     

摩托车及驾驶员气动特性的数值模拟研究

基于计算流体力学(CFD)的数值模拟技术,研究摩托车部件及驾驶员对整车气动特性的影响.对通过数值模拟获得的摩托车周围的流场、气动阻力系数和速度分布进行了深入分析;就风挡导流罩、驾驶员和摩托车本身的不同组合对整车气动阻力的影响进行了归纳;最后提出了一些减小摩托车气动阻力的具体建议.     

Heavy-duty vehicle modelling and longitudinal control

This paper addresses modelling, longitudinal control design and implementation for heavy-duty vehicles (HDVs). The challenging problems here are: (a) an HDV is mass dominant with low power to mass ratio; (b) They possess large actuator delay and actuator saturation. To reduce model mismatch, it is necessary to obtain a nonlinear model which is as simple as the control design method can handle and as complicated as necessary to capture the intrinsic vehicle dynamics. A second order nonlinear vehicle body dynamical model is adopted, which is feedback linearizable. Beside the vehicle dynamics, other main dynamical components along the power-train and drive-train are also modelled, which include turbocharged diesel engine, torque converter, transmission, transmission retarder, pneumatic brake and tyre. The braking system is the most challenging part for control design, which contains three parts: Jake (engine compression) brake, air brake and transmission retarder. The modelling for each is provided. The use of engine braking effect is new complementary to Jake (compression) brake for longitudinal control, which is united with Jake brake in modelling. The control structure can be divided into upper level and lower level. Upper level control uses sliding mode control to generate the desired torque from the desired vehicle acceleration. Lower level control is divided into two branches: (a) engine control: from positive desired torque to desired fuel rate (engine control) using a static engine mapping which basically captures the intrinsic dynamic performance of the turbo-charged diesel engine; (b) brake control: from desired negative torque to generate Jake brake cylinder number to be activated and ON/OFF time periods, applied pneumatic brake pressure and applied voltage of transmission retarder. Test results are also reported.     

Application of the Pacejka Magic Formula Tyre Model on a Study of a Hydraulic Anti-Lock Braking System for a Light Motorcycle

The object of the study is to apply the Pacejka magic formula tyre model on a study of a hydraulic anti-lock braking system, especially applied to a light motorcycle. A sliding mode PWM controller is designed and tested. Both simulation and experimental studies of an anti-lock braking system are undertaken. The paper presents an analytical approach for estimating the longitudinal adhesive coefficient between a tyre and the road through the magic formula tyre model, the parameters of which are identified by a genetic algorithm. A dynamic analysis of a light motorcycle is carried out in detail. The experimental results show that the antilock braking system designed in the study is effective to prevent wheels locking during emergency braking. The proposed simulation results match experimental data well.     

Application of the Pacejka Magic Formula Tyre Model on a Study of a Hydraulic Anti-Lock Braking System for a Light Motorcycle

The object of the study is to apply the Pacejka magic formula tyre model on a study of a hydraulic anti-lock braking system, especially applied to a light motorcycle. A sliding mode PWM controller is designed and tested. Both simulation and experimental studies of an anti-lock braking system are undertaken. The paper presents an analytical approach for estimating the longitudinal adhesive coefficient between a tyre and the road through the magic formula tyre model, the parameters of which are identified by a genetic algorithm. A dynamic analysis of a light motorcycle is carried out in detail. The experimental results show that the antilock braking system designed in the study is effective to prevent wheels locking during emergency braking. The proposed simulation results match experimental data well.     

Nonlinear optimal integrated vehicle control using individual braking torque and steering angle with on-line control allocation by using state-dependent Riccati equation technique

This paper proposes the solution of state-dependent Riccati equation as a nonlinear optimal regulator to stabilise the motion dynamics of the vehicle model subjected to sudden disturbance inputs in the lateral direction. The proposed nonlinear regulator coordinates individually actuated wheel braking torque and steering wheel angle simultaneously in an optimal manner. Performance criteria are satisfied by solving the Riccati equation based on the given cost function subjected to the nonlinear vehicle dynamics. On-line control allocation in terms of optimal brake torque distribution enhanced by optimal wheel steering angle input is achieved. Furthermore, the proposed optimal nonlinear regulator is an active fault-tolerant control system against partial by-wire actuator failures while guaranteeing stability with good performance due to its capability to allocate the individual control inputs in an optimal way. The main aim is to stabilise the motion dynamics of the vehicle model during short-term emergency situations along the desired straight trajectory manageable by average drivers and to provide vehicle stability and handling predictability through the interaction of individual wheel braking and steering actuators. Simulation results are used to illustrate the effectiveness of the proposed methodology.     

A study on the stability of a motorcycle wheel–swingarm suspension with chain transmission

The present study describes a possible driving mechanism for a self-excited oscillation observed in motorcycle dynamics, often referred to as chatter. This phenomenon, affecting the performance of road racing motorcycles, has been simulated in straight running braking manoeuvres with multibody motorcycle models. It involves rear suspension bounce and driveline oscillation in the frequency range between 17 and 22?Hz. A simplified model of a motorcycle rear suspension with chain transmission is proposed and its stability in equilibrium configurations is studied via eigenvalue analysis. The sensitivity with respect to all its governing parameters is analysed by means of stability maps and the self-excitation mechanism is explained with the aid of energy balance analysis and phase diagrams. It is found that the key role for the instability onset is played by the gradient of the nonlinear characteristic slip function of the tyre.     

摩托车轮胎碰撞分析

当摩托车发生碰撞时,前轮胎首先接受到冲击反作用力,这个力将对摩托车运行和骑乘者产生非常严重的后果。通过建立摩托车轮胎有限元模型来模拟摩托车轮胎的碰撞情况,将摩托车前轮胎受到的反作用力十分精确地计算出来,从而进行研究和分析。     

System identification and attitude control of motorcycle by computer-aided dynamics analysis

System identification of the motorcycle model constructed by computer-aided dynamics analysis is introduced to design a control system for attitude stabilization of the motorcycle. The identified model can be reduced to the coupled mode system between the roll and the front steering. The front-steering control system using the roll angle is designed by H_∞ control theory, based on the reduced-order model and the full-order model, respectively. It is verified from simulation results that the motorcycle attitude against disturbance is stabilized by the H_∞ controller, and that the reduced-order controller exhibits efficient stabilization performance in comparison with the full-order controller.     

Steering control of motorcycles using steer-by-wire system

This study proposes a steering control method to improve motorcycle handling and stability. Steer-by-wire (SBW) technology is applied to the motorcycle's steering system to remove characteristic difficulties of vehicle maneuvers. By examining computer simulation using a simplified motorcycle model, the actual rolling angle of the SBW motorcycle is controlled to follow the desired rolling angle intended by the rider. A state feedback control such as linear quadratic control gives the SBW vehicle a good follow-through performance compared with proportional-derivative control because it can decouple rolling motion from the other motions, which affect the rolling motion in the strongly coupled motorcycle system.     

基于模糊控制的车辆弯道防抱制动系统仿真分析

建立了8自由度的非线性汽车弯道行驶整车模型,在此模型基础上,采用模糊控制理论,分别对车速与轮速的变化、车轮载荷转移的变化以及制动器制动力矩的变化进行计算机仿真。仿真结果表明,采用模糊控制可以达到很好的制动控制效果。     

Steady Turning of Two-Wheeled Vehicles

When driving along a circular path, the driver of a motorcycle controls the vehicle mainly by means of steering torque. If low steering torque is necessary, the driver feels that the vehicle is manoeuvrable. In this paper, a mathematical model concerning steering torque is developed; it takes into account the actual kinematic behaviour of the vehicle and the properties of motorcycle tyres. Tyre forces act at the contact points of toroidal tyres, which are calculated according to kinematic analysis. Non-linear equations are solved using an iterative approach. Several numerical results are presented, and the influence of tyre properties and some geometrical and inertial properties of the vehicle on steering torque are discussed.     

Steady Turning of Two-Wheeled Vehicles

When driving along a circular path, the driver of a motorcycle controls the vehicle mainly by means of steering torque. If low steering torque is necessary, the driver feels that the vehicle is manoeuvrable. In this paper, a mathematical model concerning steering torque is developed; it takes into account the actual kinematic behaviour of the vehicle and the properties of motorcycle tyres. Tyre forces act at the contact points of toroidal tyres, which are calculated according to kinematic analysis. Non-linear equations are solved using an iterative approach. Several numerical results are presented, and the influence of tyre properties and some geometrical and inertial properties of the vehicle on steering torque are discussed.