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
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