новая папка / ЛР1
.pdf
................................................................................. |
2 |
.................................................................................. |
2 |
.............................................................................. |
3 |
............................................ |
4 |
.................................................................................................................... |
6 |
- .................................................................... |
6 |
................................................................ |
8 |
..................................................................................... |
10 |
............................................................................................. 10
........................................................... 12
....................................................................................... 14
............................................................................................... 15
..................................................................18
|
F(s) = |
f(t) = f(t) e-st dt |
(1) |
|
t |
|
s = + j . |
|
f(t), |
|
|
|
F(s), |
|
f(t) |
t |
0. |
|
f(t) |
|
1(t) |
|
|
|
f(t) = 0. |
|
|
|
f (t) = s F(s); |
(2) |
|
|
f (t)dt = F(s) / s. |
(3) |
|
t |
0. |
|
|
f(t) |
|
1(t) |
|
|
f(t) = 0. |
|
|
, (4)
ai, bi 
x(t) 
u(t) 
, |
(5) |
, |
(6) |
K(s), D(s) |
W(s) |
d/dt 
s 
K = bm/an.
D(s)
s,
D(s) 
W(s) 
.
K(s) 
K(s) = 0 
W(s) = 0 
1.
1
1 |
|
|
|
|
- |
|
|
2 |
|
|
|
3 |
|
|
|
4 |
- |
|
|
|
|
|
|
5 |
- |
|
|
|
- |
|
|
6 |
- |
W(s) T2s2 |
k |
T s 1 |
|||
|
|
1 |
2 |
7 |
|
|
, |
8 |
|
|
|
9 |
- |
|
, |
|
|
10
11 
-
12
. (7).
t
.
-
-
. (8)
, |
. |
(9) |
-
-
h(t) w(t)dt , |
. |
(10) |
L{
}=
. |
(11) |
L{1(t)}=1/s 
. |
(12) |
. |
(13) |
-
-
:
sl = syslin(dom, N, D) sl = syslin(dom, H)
syslin: dom
-
N, D 
H 
s = poly(0,'s') 
.
1:
s = poly(0, 's'); H1 =(1+2*s)/s^2
W1 = syslin('c', H1)
H2 = (1+2*s+s^2)/s^2
W2 = syslin('c', H2)
2:
s = poly(0, 's');
W1 = syslin('c', 1+2*s, s^2)
W2 = syslin('c', 1+2*s+s^2, s^2)
3:
W1 = syslin('c', 1+2*%s, %s^2)
W2 = syslin('c', 1+2*%s+%s^2, %s^2)
[y [,x]] = csim(u, t, sl), |
|
|
u |
step |
impulse |
t 
sl 
2.
-
K 
T
T2 = 0.5;
T3 = 1;
W2 = syslin('c', K/(T2*%s + 1));
W3 = syslin('c', K/(T3*%s + 1));
t = 
h1 = csim('step', t, W
h2 = csim('step', t, W
h3 = csim('step', t, W
xbasc 
plot(t, h1, 'r', t, h2, 'g', t, h3, 'b'); xgrid 
xtitle('h(t)', 'time, c', 'h(t)'); legend('T=0.1', 'T=0.5', 'T
plot
2
SciLab
-
SciLab
e 
10).
num = 1D-10;
K = 2; T = 0.1;
W = syslin('c', (K*%s+num)/(num*%s^2+T*%s+1)); t = 0:0.001:1;
y = csim('step', t, W); plot(t, y); xgrid(1);
xtitle('h(t)', 'time, c', 'h(t)');
3.
3
.
num = 1D-10; K = 1; T = 2;
W = syslin('c', K*(T*%s+1)/(num*%s^2 +%s)); t = 0:0.001:1;
y = csim('step', t, W); plot(t, y); xgrid(1);
xtitle('h(t)', 'time, c', 'h(t)');
4.