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118                                         Naser Mehrabi and John McPhee




















          Fig. 9 ISO double lane change (DLC) constraint and vehicle desired trajectory.

          (Forkenbrock and Elsasser, 2005) at a speed of 10m/s, where the maximum
                       max
          assist torque (T m ) is assumed to be 50Nm, and a value of 1Nm is selected
          for the no-assist zone (T d0 ) to avoid the off-center steering feel.
             The muscular effort [G(a)], defined according to a physiological cost
          function (Forster et al., 2004) and shown in Eq. (33), was selected to repre-
          sent the driver’s physical strength. The symbol a i represents the extensor and
          flexor muscle activations, and the exponent p is chosen to be 2 in the
          simulations:

                                            2
                                                 p
                                          X
                                    G aðÞ ¼    a i ðÞ                  (33)
                                           i¼1
          The road feel criterion was used to quantify the intensity of feedback infor-
          mation (feel) from the road to the driver. To consider the nonlinearity
          induced by the steering system and the EPS characteristic curve for a specific
          maneuver, the road feel was defined in the time domain as the relationship
          between the resistive steering torque (SAT) to the driver torque (T d ) as fol-
          lows (Zaremba and Davis, 1995):
                                     8
                                        |T d tðÞ|
                                 1   <          if SAT 6¼ 0
                           F rf ¼  ¼   |SAT tðÞ|                       (34)
                                F rf  :
                                          0      otherwise


          3.4 Simulation Results
          In this section, the sensitivity of characteristic curves to different muscle
          parameters is studied. Then, the muscle parameters are set to values for
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