Лабораторная работа №1
Бесфамильный Михаил
Группа ИУ4-61
А)интегрирующее звено
а1)
k=1
den=[1 0]
W=tf(1,den)
W=
1
-S
bode(W)
step(W)
Pss = ss(W)
[a,b,c,d] = ssdata(Pss)
Pss =
a=
x1
x1 0
b=
u1
x1 1
c=
x1
y1 1
d=
u1
y1 0
a2)
k=10
den=[1 0]
W=tf(10,den)
W=
10
--s
step(W)
bode(W)
Pss = ss(W)
[a,b,c,d] = ssdata(Pss)
Pss =
a=
x1
x1 0
b=
u1
x1 4
c=
x1
y1 2.5
d=
u1
y1 0
Б)апериодическое звено
б1)
k=1 T=0.1
den=[0.1 1]
W=tf(1,den)
W=
1
----------0.1 s + 1
step(W)
bode(W)
Pss = ss(W)
[a,b,c,d] = ssdata(Pss)
Pss =
a=
x1
x1 -10
b=
u1
x1 4
c=
x1
y1 2.5
d=
u1
y1 0
б2)
k=10 T=0.1
den=[0.1 1]
W=tf(10,den)
W=
10
----------0.1 s + 1
step(W)
bode(W)
Pss = ss(W)
[a,b,c,d] = ssdata(Pss)
Pss =
a=
x1
x1 -10
b=
u1
x1 8
c=
x1
y1 12.5
d=
u1
y1 0
б3)
k=1 T=0.5
den=[0.5 1]
W=tf(1,den)
W=
1
---------0.5 s + 1
step(W)
bode(W)
Pss = ss(W)
[a,b,c,d] = ssdata(Pss)
Pss =
a=
x1
x1 -2
b=
u1
x1 2
c=
x1
y1 1
d=
u1
y1 0
x1 1
В)колебательное звено
в1)
k=1 T=0.1 ξ=0.1
den=[0.01 0.02 1]
W=tf(1,den)
W=
1
--------------------------0.01 s^2 + 0.02 s + 1
step(W)
bode(W)
Pss = ss(W)
[a,b,c,d] = ssdata(Pss)
Pss =
a=
x1
x2
x1 x2
-2 -12.5
8
0
b=
u1
x1 4
x2 0
c=
y1
x1 x2
0 3.125
d=
u1
y1 0
в2)
k=10 T=0.1 ξ=0.1
den=[0.01 0.02 1]
W=tf(10,den)
W=
10
-------------------------0.01 s^2 + 0.02 s + 1
step(W)
bode(W)
Pss = ss(W)
[a,b,c,d] = ssdata(Pss)
Pss =
a=
x1
x2
x1 x2
-2 -12.5
8 0
b=
u1
x1 8
x2 0
c=
x1 x2
y1 0 15.63
d=
u1
y1 0
в3)
k=1 T=0.5 ξ=0.1
den=[0.25 0.1 1]
W=tf(1,den)
W=
1
------------------------0.25 s^2 + 0.1 s + 1
step(W)
bode(W)
Pss = ss(W)
[a,b,c,d] = ssdata(Pss)
Pss =
a=
x1 x2
x1 -0.4 -2
x2 2 0
b=
u1
x1 2
x2 0
c=
x1 x2
y1 0 1
d=
u1
y1 0
в4)
k=1 T=1 ξ=0.1
den=[1 0.2 1]
W=tf(1,den)
W=
1
------------------s^2 + 0.2 s + 1
step(W)
bode(W)
Pss = ss(W)
[a,b,c,d] = ssdata(Pss)
Pss =
a=
x1 x2
x1 -0.2 -1
x2 1 0
b=
u1
x1 1
x2 0
c=
x1 x2
y1 0 1
d=
u1
y1 0
Г)звено чистого запаздывания
г1)
τ=0.1
num=[0.01 -0.6 12]
den=[0.01 0.6 12]
W=tf(num,den)
W=
0.01 s^2 - 0.6 s + 12
-------------------------0.01 s^2 + 0.6 s + 12
0.02
step(W)
bode(W)
Pss = ss(W)
[a,b,c,d] = ssdata(Pss)
Pss =
a=
x1 x2
x1 -60 -37.5
x2 32 0
b=
u1
x1 8
x2 0
c=
x1 x2
y1 -15 0
d=
u1
y1 1
г2)
τ=1
num=[1 -6 12]
den=[1 6 12]
W=tf(num,den)
W=
s^2 - 6 s + 12
----------------s^2 + 6 s + 12
step(W)
bode(W)
Pss = ss(W)
[a,b,c,d] = ssdata(Pss)
Pss =
a=
x1 x2
x1 -6 -3
x2 4 0
b=
u1
x1 4
x2 0
c=
x1 x2
y1 -3 0
d=
u1
y1 1
Вариант ДЗ
num=[7.734e7]
num =
77340000
>> den=[2 1125 125000 7.734e7]
den =
2
1125
125000 77340000
>> W=tf(num,den)
Transfer function:
7.734e007
--------------------------------------2 s^3 + 1125 s^2 + 125000 s + 7.734e007
step(W)
bode(W)
Pss = ss(W)
[a,b,c,d] = ssdata(Pss)
a=
x1 x2 x3
x1 -562.5 -122.1 -295
x2 512
0
0
x3
0 256
0
b=
u1
x1 16
x2 0
x3 0
c=
y1
x1 x2 x3
0 0 18.44
d=
u1
y1 0
Continuous-time model.