Page 92 - basic control system
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SECOND-ORDER SYSTEM













              ❑ For a second-order system, the denominator of closed

                   loop transfer function (C.LT.F) is quadratic and the

                   coefficients of this equation are related to ξ and ω                           n



              ❑ The C.L.T.F for a standard second-order system is:






                                           (  )                      
                                                                     
                                                 =
                                           (  )         +           +           
                                                         
                                                                                
                                                                      



              ❑ Where characteristic equation is s +2ξω s+ω                                 n 2  = 0
                                                                         2
                                                                                   n


              ❑ Second-order system can be transformed to show the

                   quantities of ξ and ω . Consider the general system
                                                    n






                                         (  )                             
                                               =       =
                                                                  2
                                         (  )                      +      +   




                                                             2
                                        Where    =             

                                                      = 2         
















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