Page 80 - basic control system
P. 80

STATIC ERROR



                                COEFFICIENT METHOD










                          PARABOLIC INPUT




                          ❑ Reference input is parabolic of magnitude ‘A’:



                                       
                               =
                                        3


                                                       (  )
                                 = lim
                              
                                         →0 1 +         (  )
                                                         
                                                     ( )
                                                        3
                                 = lim                  
                                         →0 1 +         (  )
                                                           
                                 = lim
                                               2
                                         →0    [1 +             ]
                                                       
                                  = lim
                                             2
                                                  2
                                        →0    +               ]
                                  =            
                                           2
                                     lim            (  )
                                        →0


                                                
                         ❑ Ka =                   (  ) = Acceleration Error Coefficient
                                         →  


                         ❑ The corresponding error is:

                                              
                                         =      

















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