Page 86 - basic control system
P. 86

TRANSIENT RESPONSE



                                             ANALYSIS




























                      Figure 1(c) : Unit Step response of first-order system


                  •    Assume input is changed to step of ‘A’ units



                                 
                          =
                                  



                                                        ′           ′
                          =                       =      +
                                 (1 +       )                1 +       


                           ′
                     =    1 +        +              ′

                                                  ′
                                ′
                    ′
                          +    = 0           =   
                    ′
                     = −      


                                               
                          =       −
                                      1 +       



                                              
                           =       −
                                               1
                                         + (      )
                                                  

                                             −  
                          =   (1 −    )
                                                 







                                                                                                                  63
   81   82   83   84   85   86   87   88   89   90   91