Page 88 - basic control system
P. 88

CLOSED-LOOP POLES OF



                           FIRST-ORDER SYSTEM











                   ❑ The closed-loop transfer function of a system is

                        given by




                                                                    
                                                    =
                                                        1 +         (  )


                   ❑ So the characteristic equation is :


                                               1 +             = 0


                   ❑ For first-order equation :



                                                    1 +      = 0


                   ❑ From the equation, there is only one closed-loop

                        pole:



                                                                1
                                                          = −
                                                                  


                   ❑ The pole-zero plot is as shown in the next figure

                       below:




























                                                                                                                  65
   83   84   85   86   87   88   89   90   91   92   93