Tarea_CD
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Transcript of Tarea_CD
8/19/2019 Tarea_CD
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Santiago Abraham Trejo Maldonado #12060902
6.- Compruebe con Matlab cada uno de los resultados de la
seccion anterior, incluyas todas las instrucciones empleadas y
los resultados obtenidos.
-Se observo que los resultados obtenidos por Matlab presentan
algunas diferencias con los resultados hechos a mano, esto sedebe a que Matlab da como respuesta un resultado equivalente
pero correcto, y de cierta forma multiplica el numerador del
termino por t, esto altera el resultado.
a) G!) para t"#.$ s y a "%>> num1=[0 1]
num1 =
0 1
>> den1=[1 2]
den1 =
1 2
>> Gs1=tf(num1,den1)
Gs1 =
1
----- s + 2 Continuous-time transfer function.
>> Ra=c2d(Gs1,0.1,'imu!se')
ans =
0.1 " + 1.11e-1# ----------------------- " - 0.$1$# %am!e time& 0.1 secondsiscrete-time transfer function.
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Santiago Abraham Trejo Maldonado #12060902
b) &!) para t"#.$ s y b"'>> num2=[0 0 1]
num2 =
0 0 1
>> den2=[1 0]
den2 =
1 0
>> Gs2=tf(num2,den2)
Gs2 =
1 --------- s2 + s Continuous-time transfer function.
>> R*=c2d(Gs2,0.1,'imu!se')
ans = 0.00$22 " + 1.$e-1$
------------------------------- "2 - 1.# " + 0.#0 %am!e time& 0.1 secondsiscrete-time transfer function.
c) G!)&!) para t"#.$ s, a"% y b"'>>Rc=(Ra)(R*)
Rc = 0.000$22 "2 + 2.#e-1/ " + 2.02e-
---------------------------------------------------------- " - 2.$/ "2 + 2.0$ " - 0.$$ %am!e time& 0.1 secondsiscrete-time transfer function.
d) G&!) para t"#.$ s, a"% y b"'
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Santiago Abraham Trejo Maldonado #12060902
>> Gsd=(Gs1)(Gs2)
Gsd =
1 ----------------------- s + s2 + $ s Continuous-time transfer function.
>> Rd=c2d(Gsd,0.1,'imu!se')
Rd = 0.00010# "2 + 0.000 " + 1./e-1$
--------------------------------------------------------- " - 2.$/ "2 + 2.0$ " - 0.$$
%am!e time& 0.1 secondsiscrete-time transfer function.
e) G!)&!) para t"#.#$ s, a"' y b"%>> num=[0 1]
num =
0 1
>> den=[1 ]
den =
1
>> Gs=tf(num,den)
Gs =
1
----- s + Continuous-time transfer function.
>> Re1=c2d(Gs,0.01,'imu!se')
Re1 =
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Santiago Abraham Trejo Maldonado #12060902
0.01 "
---------- " - 0./0$ %am!e time& 0.01 secondsiscrete-time transfer function.
>> num=[0 0 1]
num =
0 0 1
>> den=[1 2 0]
den =
1 2 0
>> Gs=tf(num,den)
Gs =
1 --------- s2 + 2 s
Continuous-time transfer function.
>> Re2=c2d(Gs,0.01,'imu!se')
Re2 = /./01e-0 " - 2.1/$e-20
----------------------- "2 - 1./$ " + 0./$02 %am!e time& 0.01 seconds
iscrete-time transfer function.
>> Re=(Re1)(Re2)
Re =
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Santiago Abraham Trejo Maldonado #12060902
/./01e-0# "2 - 2.1/$e-22 " ---------------------------------- " - 2./1 "2 + 2.$$ " - 0./1$ %am!e time& 0.01 secondsiscrete-time transfer function.
f) G&!) para t"#.#$ s, a"' y b"%>> Gsf=(Gs)(Gs)
Gsf =
1 ----------------------- s + s2 + $ s Continuous-time transfer function.
>> Rf=c2d(Gsf,0.01,'imu!se')
Rf = ./01e-0# "2 + .$0e-0# " - 1.2e-1/
--------------------------------------- " - 2./1 "2 + 2.$$ " - 0./1$ %am!e time& 0.01 secondsiscrete-time transfer function.