Page 641 - Mechanical Engineers' Handbook (Volume 2)
P. 641

632   Controller Design

































                                                Figure 11 (Continued)(d)   2   0.8.


                                                               K
                                                        G       d                             (12)
                                                          d
                                                               s   1
                                                              1
                          and
                                               U 1     K d       s
                                                              2
                                                D   K (  /K )s   (1/K )s   1                  (13)
                                                                     u1
                                                         1
                                                            u1
                                                     u1
                          For a position loop
                                                               K
                                                       G        d                             (14)
                                                         d
                                                            s(  s   1)
                                                              1
                          and
                                               U 1     K d       1
                                                D   K (  /K )s   (1/K )s   1                  (15)
                                                              2
                                                     u1
                                                         1
                                                            u1
                                                                     u1
                             It is instructive to compare Eqs. (13) and (15) with Eqs. (2) and (4), respectively.
           3 FREQUENCY COMPENSATION TO IMPROVE OVERALL PERFORMANCE
                          In Section 2, it is clear that open-loop dynamic characteristics impose profound limitations
                          upon closed-loop performance. However, it is often possible to extend these limitations by
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