Page 633 - Mechanical Engineers' Handbook (Volume 2)
P. 633

624   Controller Design






















                                              Figure 4 Simplified response to commands.


                          where X   output error   X   X,mm
                                e
                                                 c
                               V   forward-loop offset, converted to an equivalent open-loop offset in volts,
                                0
                                   mm/s
                               X   position command   e /K ,mm
                                                        x
                                                      c
                                c
                             Even when no forward-loop offsets or disturbances are present, servos exhibit following
                          errors, sometimes called tracking errors. In servos having forward-loop integrations, these
                          quasi-static errors result whenever the command signal changes at a constant rate, as in a
                          position-tracking servo. For the position servo of Fig. 3, the following error is
                                                        e e     X e     1                      (6)
                                                        ˙ e c  X ˙  c  K vx
                          For the velocity servo of Fig. 2, the following error is
























                                             Figure 5 Simplified response to disturbance.
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