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Chapter 2   Analysing a drive system  49



                                               G r ¼ mg sin a ¼ 6:82 N

                                                  F a ¼ m € x ¼ 0:25 N
                   Hence the total attractive effort required is 8 N, if two wheels are driven, the torque
                   requirement per wheel is,
                                                     E t r
                                                 T d ¼  ¼ 0:4Nm
                                                     n d
                   If the maximum torque that can be applied before the wheel slips,
                                                  mgmr cos a
                                             T d max  ¼     ¼ 0:72 Nm
                                                      n t
                   As T d < T d max  the mobile robot will be able to climb the slope.
                                                                                         nnn
                 2.4 Force based systems

                 Series Elastic Actuators are low speed, high force/mass, high power/mass actuators with
                 good force control as well as impact tolerance. In addition, they have low impedance and
                 friction, and thus can achieve high quality force control. For these reasons they are
                 widely incorporated in power legged robots (Pratt and Williamson, 1995; Robinson et al.,
                 1999).
                   Fig. 2.7 shows the architecture of a series elastic actuator. It should be recognised that
                 a series elastic actuator is similar to any motion actuator with a load sensor and closed
                 loop control system.

























                 FIG. 2.7 The operation of a series elastic actuator. (A) The key features of a series elastic actuator. The output
                 carriage is connected to the ball screw nut through the four springs; the required support bearings have been
                 omitted for clarity. (B) Block diagram of the actuator’s control loop. The feedback is provided by measuring the
                 compression of the springs, using a LVDT or similar device.
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