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13.1
           Chapter 13.1













           Vehicle motion control



             William Ribbens







           13.1.1 Introduction                                13.1.2 Typical cruise control system

           The term vehicle motion refers to its translation along and  Automotive cruise control is an excellent example of the
           rotation about all three axes (i.e., longitudinal, lateral,  type of electronic feedback control system. Recall that
           and vertical). By the term longitudinal axis, we mean the  the components of a control system include the plant, or
           axis that is parallel to the ground (vehicle at rest) along  system being controlled, and a sensor for measuring the
           the length of the car. The lateral axis is orthogonal to  plant variable being regulated. It also includes an elec-
           the longitudinal axis and is also parallel to the ground  tronic control system that receives inputs in the form of
           (vehicle at rest). The vertical axis is orthogonal to both  the desired value of the regulated variable and the mea-
           the longitudinal and lateral axes.                 sured value of that variable from the sensor. The control
             Rotations of the vehicle around these three axes cor-  system generates an error signal constituting the differ-
           respond to angular displacement of the car body in roll,  ence between the desired and actual values of this vari-
           yaw, and pitch. Roll refers to angular displacement about  able. It then generates an output from this error signal
           the longitudinal axis; yaw refers to angular displacement  that drives an electromechanical actuator. The actuator
           about the vertical axis; and pitch refers to angular dis-  controls the input to the plant in such a way that the
           placement about the lateral axis.                  regulated plant variable is moved toward the desired
             Electronic controls have been recently developed with  value.
           the capability to regulate the motion along and about  In the case of a cruise control, the variable being reg-
           all three axes. Individual car models employ various  ulated is the vehicle speed. The driver manually sets the
           selected combinations of these controls. This chapter  car speed at the desired value via the accelerator pedal.
           discusses motion control electronics beginning with  Upon reaching the desired speed the driver activates
           control of motion along the longitudinal axis in the form  a momentary contact switch that sets that speed as the
           of a cruise control system.                        command input to the control system. From that point
             The forces that influence vehicle motion along the  on, the cruise control system maintains the desired speed
           longitudinal axis include the powertrain (including, in  automatically by operating the throttle via a throttle
           selected models, traction control), the brakes, the aero-  actuator.
           dynamic drag, and tire-rolling resistance, as well as the  Under normal driving circumstances, the total drag
           influence of gravity when the car is moving on a road with  forces acting on the vehicle are such that a net positive
           a nonzero inclination (or grade). In a traditional cruise  traction force (from the powertrain) is required to
           control system, the tractive force due to the powertrain  maintain a constant vehicle speed. However, when the
           is balanced against the total drag forces to maintain  car is on a downward sloping road of sufficient grade,
           a constant speed. In an ACC system, brakes are also  constant vehicle speed requires a negative tractive force
           automatically applied as required to maintain speed  that the powertrain cannot deliver. In this case, the car
           when going down a hill of sufficiently steep grade.  will accelerate unless brakes are applied. For our initial

           Understanding Automotive Electronics; ISBN: 9780750675994
           Copyright Ó 2003 Elsevier Ltd; All rights of reproduction, in any form, reserved.
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