CUAD. CONTROL I.pdf - Profe Saul

ComparaciónA + B = 02ALWn + C = 0A[L 2 Wn 2 +Wd 2 ] = Wn 2Valor de “A”A[L 2 Wn 2 +Wd 2 ] = Wn 2 2A =A =2 2L Wn2Wn+ Wd12 WdL +Wn2221⋅ Wn1Wn22=2Wn2Wn22 Wn WdL +2Wn Wn2Si Wd = WnWd= 1−LWn2Wd2= 1−L2Wn21−L1 1A = = ∴2L + 1−L 1AValor de “B”A + B = 01 + B = 0B = -12=Valor de “C”2ALWn + C = 02LWn + C = 0C = -2ALWnSustitución de A, B y C21−1S+ ( − 2LWn)1 1S+ LWn= −( S + LWn) 2+ ( Wd ) 2 S ( S + LWn) 2+ ( Wd ) 2−1 12LC(s)= +S1 ⎡LC ( s)= − ⎢S ⎣S + LWn + LWn⎤⎥ =− 1 1⎡LC ( s)= − ⎢S ⎣−1 1⎡− ⎢S + LWn222222( S + LWn) + ( Wd ) ⎦ S ⎣( S + LWn) + ( Wd ) ( S + LWn) + ( Wd ) ⎥ ⎦S + LWnWd+LWn2222( S + LWn) + ( Wd ) Wd ( S + LWn) + ( Wd ) ⎥ ⎦⎤+LWn⎤43