Page 100 - Mechatronics with Experiments
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180
                                                                                                    second-order  magnitude


                                              90

                                                Phase (deg)                                         pole/zero,  has
                                              0                                                        one
                            s

                                              –90                                                      it  since
                                                                                                    first-order  case
                                              –180
                             40  20  0   –20  –40                                                      this
                                                                                                    origin,  in
                                                                                                    the  point
                                       Gain (dB)
                                              180                      180                     180  at  a  only
                                                                                                    pole/zero  is


                                              90                       90                      90   gain,  K 0 gain

                                                Phase (deg)  (s/z1 + 1) ; z1 = 1.  Phase (deg)  Second order zeros  Phase (deg)  functions:  constant
                            1/s               0                        0                       0


                                              –90                       –90                     –90    for
                                                                                                    transfer  plot
                                                –180                     –180                  –180    the
                             40  20  0   –20  –40     40  20  0   –20  –40    40  20  0   –20  –40  basic  that  frequencies.
                                                                                                    of
                                                                                                    plots  Notice  all
                                                                                        Gain (dB)
                                                               Gain (dB)
                                       Gain (dB)
                                              180                      180                     180       for
                                                                                                    phase  coefficients).  plot)
                                              90                       90                      90   versus  this  on

                                                Phase (deg)  1/(s/p1 + 1) ; p1 = 1.  Phase (deg)  Second order poles  Phase (deg)  (a
                            K o               0                        0                       0    magnitude  damping  point


                                              –90                      –90                     –90  Log  different  phase
                                                                                                    2.32:  (for  zero

                                                                                                    FIGURE  pole/zero  value
                             40  20  0   –20  –40  –180  40  20  0  –20  –40    –180  40  20  0  –20  –40  –180  and
                                                                                        Gain (dB)
                                                               Gain (dB)
                                       Gain (dB)



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