a step, the  robot  is  equipped  with  an ultrasonic range
sensor.  The sensor head is attached at the tip of  an arm
that  rotates  around the  vertical  axis  on  the  body.  The
altitude of  the terrain around the robot  is measured by  the
sensor. Control  is  performed  by  a personal computer.
The whole control system is shown in Fig.3. In order to
proyide the command  to the  robot,  the control system is
equipped with a command controller. Operator can give
four analog and six digital signals to the computer as the
control commands.
4.  Locomotion algorithm
Walk’n  Roll  has  several locomotion modes  by
selecting wheeled function or legged function.
4.1 Wheel mode
In  this mode,  four wheels  are used  for  locomotion,
and fast and efficient locomotion is realized on relatively
flat terrain.  Rear wheels  are driven, and front wheels
are free and perform steering action.  When front wheel
is positioned  just bellow  the first joint, steering action  is
done by  controlling the first joint  only.  The other  two
joints and rear legs can be used as active suspension. Next,  we  consider relation  between  steering angle
and  wheel  driving.  Now  we  consider a situation  as
shown in Fig.4.  We set a coordinate system fixed to the
robot body, and its x-axis is moving direction and the y-
axis is a  line  connecting two rear  wheels.  A  wheeled
vehicle whose front wheels perform steering action has a
turning center  on  the line connecting rear  wheels.  In
this figure, 81 and  82 denote the steering angle.  When
the coordinate of  the turning center is  r, 81  and  82 are
calculated as following equations.
e, =  tan-'(a/(r-b>)
e, =  tan-'{a/(r+b))
Here, a is wheel base, and b is half of  front wheel  tread.
A ratio of travelling distances of two rear wheels m/w4 is
given by next equation.
w,/w, =(r-c)/(r+c)  (3)
Here,  c  is  half  of  rear  wheel  tread.  Above  analysis is
done  when  the turning center  is  outside  of  the  robot.
However,  It is possible  for  the  robot  to  turn with  the
turning  center inside  of  two  rear  wheels  as  shown in
Fig.5. Obtained results are  the  same  as equations  (1)-
(3).  It should be noticed that steering and wheel driving
directions  are  different in  both  sides.  When  absolute
value of  r is smaller than  c, wheel driving directions are
different each other.  In  the case  of  the steering, the
directions  are  different when  the absolute value  of  r  is
smaller than b. 4.2 Hybrid mode
In this mode,  front passive wheels  are  locked, and
front two legs  are  used  to  walk.  This  mode is
cooperative  locomotion  of  front legs  and  rear driving
wheels.  Two merits appear by using front legs to walk.
One is traction.  When  the  robot moves  by  the  wheel
mode,  traction is generated only rear  wheels.  In the
hybrid mode, a front leg drags  the robot body during  its
support phase. Traction is generated  at  all  the contact
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