Tp Matlab - Teoría De Control

Teoría de Control – T.P. MathLab

Actividad 1 y 2:
exponencial(1,7);
[pic]
Con escala semilogarítmica:
[pic]

exponencial(1,10);
[pic]



Valores Complejos
>> c=30+20*j
c = 30.0000+20.0000i
>> modulo = abs(c)
modulo = 36.0555
>> argumento=angle(c)
argumento = 0.5880
>> grados=argumento*180/pi
grados = 33.6901

Polinomios
x = [1 0 0 0 1]

Actividad 3
>> z =polyval([3 0 2 -16 0 12],-3)
z =-915

Actividad 4
>> roots([3 0 2 -16 0 12])

ans =
-0.7858 + 1.7319i
-0.7858 - 1.7319i
1.2387
1.1259
-0.7930

Actividad 5
>> raices = [-1,2,3]raices =
-1 2 3
>> poly(raices)
ans =
1 -4 1 6
>> num=[3 5 20]
num =
3 5 20
>> den=[1 0 1 4 12];
>> [z,p,k]=tf2zp(num,den)
z =
-0.8333 +2.4438i
-0.8333 - 2.4438i
p =
1.2364 + 1.6845i
1.2364 - 1.6845i
-1.2364 + 1.1045i
-1.2364 - 1.1045i
k =3
Redefinida en base a los polos:
>> G = zpk(z,p,k)
Zero/pole/gain:3 (s^2 + 1.667s + 6.667)
---------------------------------------------
(s^2 + 2.473s + 2.748) (s^2 - 2.473s + 4.366)
>> printsys(num,den)

num/den =
3 s^2 + 5 s + 20---------------------
s^4 + s^2 + 4 s + 12

Actividad 7
>> [res,p] = residue([0 1 2],[4 5 6 8])
res =
0.0544
-0.0272 - 0.1290i
-0.0272 + 0.1290i
p =
-1.2895
0.0198 + 1.2452i0.0198 – 1.2452i

Actividad 8
>> [num,den] = residue([-6,-4,3],[-3,-2,1],2)
num = 2 1 3 30
den = 1 4 1 -6

Actividad 9
[pic]
[pic]

Actividad 10
[pic]
[pic]Actividad 11
>> numg1=0.4;
>> deng1=1;
>> numg2=100

numg2 = 100

>> deng2=[1 2 0];
>> numh1=1;
>> denh1=1;
>> numh2=[1 0];
>> denh2=[1 20];
>> numh1=[1];
>> denh1=[1];
>>numg1=[0.4];
>> deng1=[1];
>> numg2=[100];
>> [numvc,denvc]=feedback(numg2,deng2,numh2,denh2,-1)

numvc =
0 0 100 2000

denvc =
1 22 140 0

>>...