ESCUELA SUPERIOR POLITCNICA DE CHIMBORAZO

FACULTAD DE MECNICA

ESCUELA DE INGENIERIA AUTOMOTRIZ

CONTROL AUTOMTICO

Nombre: lvaro Snchez

Semestre: Octavo B Cdigo: 1219

Fecha: 09-01-2015

ANLISIS DE LOS SISTEMAS DE CONTROL RETROALIMENTADOS

1) D(s)=

Utilizando Program CC

CC> enter

CC> D = enter(1,7,3,9,6,4,7,8,2,6, 1,0,1)

CC> D

D(s) = 3s^7 +9s^6 +6s^5 +4s^4 +7s^3 +8s^2 +2s +6

CC> zeros (D)

ans =

1: 0,0290821 + 0,8028476j

2: 0,0290821 - 0,8028476j

3: 0,6403769 + 0,7105739j

4: 0,6403769 - 0,7105739j

5: -1,0265131 + 0,6540861j

6: -1,0265131 - 0,6540861j

7: -2,2858917 + 0j

2) Caso Especial

Utilizando Program CC

CC> enter

CC> F=enter(1,0,10, 1,5,1,2,3,6,5,3)

CC> F

F(s) =

CC> C = (1/s) *F

CC> C

C(s) =

CC>ilt (C)

C(t) = 3,333 - 4,364*cos(0,702t-0,7267)*exp(-0,5088t) + 0,6138*cos(1,508t+0,7606)*exp(0,3429t)

- 0,5165*exp(-1,668t)

for t >= 0

CC> time (F)

C(s) 10

2 3 6 5 3

R(s)

CC>poles (F)

ans =

-0,5088331 + 0,7019951j

-0,5088331 - 0,7019951j

0,3428776 + 1,5082902j

0,3428776 - 1,5082902j

-1,6680888 + 0j

3) Caso Especial

Utilizando Program CC

CC> enter

CC> F= enter(1,0,10, 1,5,1,7,6,42,8,56)

CC>F

F(s) =

CC>C = (1/s) * F

CC>C

C(s) 10

7 6 42 8 56

R(s)

C(s) =

CC>ilt (F)

F (t) = 0,4951*sin (1,414t-0,1993) - 0,3434*sin (2t-0,2783) + 0,0037*exp(-7t)

for t >= 0

CC> time (F)

CC>poles (F)

ans =

0 + 1,4142136j

0 - 1,4142136j

0 + 2j

0 - 2j

-7 + 0j

4) F(s) =

Utilizando Program CC

CC> enter

CC> F=enter(1,0,20, 1,8,1,1,12,22,39,59,48,38,20)

CC> F

F(s) =

CC> time (F)

CC> poles (F)

ans =

1: -1,0000000 + 0j

2: -1,0000000 + 0j

3: -5,116270e-016 + 1,0000000j

4: -5,116270e-016 - 1,0000000j

5: 3,743432e-016 + 1,4142136j

6: 3,743432e-016 - 1,4142136j

7: 0,5000000 + 3,1224990j

8: 0,5000000 - 3,1224990j