Page 7 - Actividad No. 1, Segunda Parte ER

Introducción a las tecnologías para el control y la

automatización de procesos empresariales sostenibles
Ing. Alberto Tama Franco, MSc.

3 1 2
H ( ) s = + −
1
2s ( 2 s + ) 2 s + 1

( 3 s + 1 )(s + ) 2 + ( s s + ) 1 − 4s (s + ) 2
H ( ) s =
1
2s (s + 1 )(s + ) 2

(
)
3 s + 3s + 2 + s + − 4s − 8s
2
2
2
s
H 1 ( ) s =
2s (s + 1 )(s + ) 2

3s + 9s + + 2 s 4s − 8s 2s + 6
6 s + −
2
2
H 1 ( ) s = =
2s (s + 1 )(s + ) 2 2s (s + 1 )(s + ) 2

2s + 6 s + 3
H ( ) s =  H ( ) s =
1
2s (s + 1 )(s + ) 2 1 ( s s + 1 )(s + ) 2

1 ( s s + 20 )
H 2 ( ) s =  H 2 ( ) s = 2
1+ 5 s + 20s + 5
( s s + 20 )

5 s + 2 20s + 5
s
H 3 ( ) s = + s + 20  H 3 ( ) s = s + 20

( )
( )
H eq ( ) s = H 1 ( ) s H s H s
3
2

s + 3 s (s + 20 ) s + 2 20s + 5
H ( ) s =  
eq s (s + 1 )(s + ) 2 s + 2 20s + 5 s + 20

s + 3 s + 3
H ( ) s = =
eq
2
(s + 1 )(s + ) 2 s + 3s + 2