лабораторные работы / лаба 5 / Катя отчёт по 5 идс ljvf
.docМИНИСТЕРСТВО ОБРАЗОВАНИЯ РОССИЙСКОЙ ФЕДЕРАЦИИ
БАЛАКОВСКИЙ ИНСТИТУТ ТЕХНИКИ, ТЕХНОЛОГИИ
И УПРАВЛЕНИЯ
Л А Б О Р А Т О Р Н А Я Р А Б О Т А №5
ПОСТРОЕНИЕ МОДЕЛЕЙ ОБЪЕКТОВ УПРАВЛЕНИЯ
ПО ПЕРЕХОДНЫМ ХАРАКТЕРИСТИКАМ
Выполнил:
ст. гр. УИТ-41
Злобина Екатерина
Принял:
Стельмах И.В.
2009
Цель работы: Освоить метод нелинейного программирования и получить навыки построения динамических моделей по переходным характеристикам.
Задание №1
|
|
|
k |
4.022331 |
|
|
|
dt |
0.25 |
T |
1.919529 |
|
|
|
|
|
a |
0.877884 |
|
|
|
|
|
b |
0.491189 |
|
|
|
|
|
|
|
|
|
|
|
t |
x |
y1 |
y1рас |
(y1-y1рас)^2 |
|
1 |
0 |
6 |
-3.65 |
0 |
13.3225 |
|
2 |
0.25 |
6 |
1.38 |
2.947135 |
2.4559115 |
|
3 |
0.5 |
6 |
4.39 |
5.534379 |
1.30960255 |
|
4 |
0.75 |
6 |
12.99 |
7.80568 |
26.8771751 |
|
5 |
1 |
6 |
12.33 |
9.79962 |
6.40282331 |
|
6 |
1.25 |
6 |
16 |
11.55007 |
19.8018866 |
|
7 |
1.5 |
6 |
8.58 |
13.08676 |
20.3108938 |
|
8 |
1.75 |
6 |
18.73 |
14.4358 |
18.4401629 |
|
9 |
2 |
6 |
10.82 |
15.6201 |
23.0409451 |
|
10 |
2.25 |
6 |
19.36 |
16.65978 |
7.29120638 |
|
11 |
2.5 |
6 |
15.47 |
17.57249 |
4.42048064 |
|
12 |
2.75 |
6 |
14.93 |
18.37375 |
11.8594434 |
|
13 |
3 |
6 |
13.22 |
19.07717 |
34.3064201 |
|
14 |
3.25 |
6 |
24.53 |
19.69468 |
23.380276 |
|
15 |
3.5 |
6 |
17.29 |
20.23679 |
8.68358548 |
|
16 |
3.75 |
6 |
21.04 |
20.7127 |
0.10712495 |
|
17 |
4 |
6 |
23.75 |
21.13049 |
6.86181767 |
|
18 |
4.25 |
6 |
18.04 |
21.49727 |
11.95269 |
|
19 |
4.5 |
6 |
14.52 |
21.81925 |
53.2790642 |
|
20 |
4.75 |
6 |
30.94 |
22.10192 |
78.1117238 |
|
21 |
5 |
6 |
25.65 |
22.35006 |
10.8895789 |
|
|
|
|
|
Ssост |
383.105312 |
|
|
|
|
|
ошибка |
8.98074329 |
Задание №2
|
N |
21 |
k1 |
2.036489 |
a1 |
0.181446 |
|
|
dt |
0.25 |
T1 |
0.146473 |
b1 |
1.666977 |
|
|
|
|
k2 |
7.127713 |
a2 |
0.710742 |
|
|
|
|
T2 |
0.73218 |
b2 |
2.061749 |
|
|
№ п/п |
t, мин |
X(t) |
Yэкс |
Y1 |
Y2 |
(Y-Yрас)^2 |
|
0 |
0 |
2 |
-1.19 |
0 |
0 |
1.4161 |
|
1 |
2 |
2 |
0.46 |
3.333955 |
0 |
0.2116 |
|
2 |
4 |
2 |
7.84 |
3.938886 |
6.873776 |
0.933588621 |
|
3 |
6 |
2 |
11.99 |
4.048648 |
13.00647 |
1.033218274 |
|
4 |
8 |
2 |
18.41 |
4.068564 |
17.59154 |
0.669876048 |
|
5 |
10 |
2 |
18.9 |
4.072178 |
20.8914 |
3.96567871 |
|
6 |
12 |
2 |
23.71 |
4.072833 |
23.2442 |
0.216968771 |
|
7 |
14 |
2 |
26.73 |
4.072952 |
24.91779 |
3.284119052 |
|
8 |
16 |
2 |
26.16 |
4.072974 |
26.10752 |
0.0027543 |
|
9 |
18 |
2 |
25.66 |
4.072978 |
26.95316 |
1.672251837 |
|
10 |
20 |
2 |
26.97 |
4.072979 |
27.55419 |
0.341282199 |
|
11 |
22 |
2 |
30.76 |
4.072979 |
27.98138 |
7.72074082 |
|
12 |
24 |
2 |
26.25 |
4.072979 |
28.285 |
4.141208362 |
|
13 |
26 |
2 |
29.16 |
4.072979 |
28.50079 |
0.434557811 |
|
14 |
28 |
2 |
28.83 |
4.072979 |
28.65416 |
0.030918325 |
|
15 |
30 |
2 |
28.35 |
4.072979 |
28.76317 |
0.170712091 |
|
16 |
32 |
2 |
32.63 |
4.072979 |
28.84065 |
14.35916847 |
|
17 |
34 |
2 |
26.29 |
4.072979 |
28.89572 |
6.789761755 |
|
18 |
36 |
2 |
26.73 |
4.072979 |
28.93486 |
4.861386365 |
|
19 |
38 |
2 |
29.48 |
4.072979 |
28.96267 |
0.267628018 |
|
20 |
40 |
2 |
29.33 |
4.072979 |
28.98244 |
0.120795883 |
|
|
|
|
|
|
Ssост |
52.64431571 |
|
|
|
|
|
|
|
3.329116074 |
|
|
|
|
|
|
|
|
Задание №3
|
|
|
k |
7.445868 |
|
|
|
|
dt |
0.25 |
T |
0.949149 |
|
|
|
|
|
|
a |
0.768439 |
|
|
|
|
|
|
b |
1.724172 |
|
|
|
|
|
t |
x |
y |
y1рас |
y2рас |
(y-y2рас)^2 |
|
1 |
0 |
6 |
0 |
0 |
0 |
0 |
|
2 |
0.25 |
6 |
1.84 |
10.34503 |
0 |
3.3856 |
|
3 |
0.5 |
6 |
5.24 |
18.29456 |
2.58625753 |
7.042349087 |
|
4 |
0.75 |
6 |
9.97 |
24.40328 |
7.15989653 |
7.896681507 |
|
5 |
1 |
6 |
15.8 |
29.09747 |
13.2607172 |
6.447957138 |
|
6 |
1.25 |
6 |
22.59 |
32.70466 |
20.535084 |
4.222679721 |
|
7 |
1.5 |
6 |
30.17 |
35.47657 |
28.7112496 |
2.127952761 |
|
8 |
1.75 |
6 |
38.44 |
37.60662 |
37.5803926 |
0.738924848 |
|
9 |
2 |
6 |
47.27 |
39.24343 |
46.9820466 |
0.08291714 |
|
10 |
2.25 |
6 |
56.6 |
40.50121 |
56.7929029 |
0.037211539 |
|
11 |
2.5 |
6 |
66.33 |
41.46775 |
66.9182063 |
0.345986597 |
|
12 |
2.75 |
6 |
76.41 |
42.21047 |
77.285143 |
0.765875245 |
|
13 |
3 |
6 |
86.79 |
42.78121 |
87.8377603 |
1.097801601 |
|
14 |
3.25 |
6 |
97.41 |
43.21978 |
98.5330618 |
1.261267758 |
|
15 |
3.5 |
6 |
108.25 |
43.5568 |
109.338007 |
1.183760115 |
|
16 |
3.75 |
6 |
119.26 |
43.81578 |
120.227208 |
0.935491064 |
|
17 |
4 |
6 |
130.43 |
44.01479 |
131.181153 |
0.5642309 |
|
18 |
4.25 |
6 |
141.73 |
44.16772 |
142.184851 |
0.206889063 |
|
19 |
4.5 |
6 |
153.13 |
44.28523 |
153.22678 |
0.009366332 |
|
20 |
4.75 |
6 |
164.62 |
44.37553 |
164.298088 |
0.103627507 |
|
21 |
5 |
6 |
178.19 |
44.44493 |
175.391971 |
7.828964002 |
|
|
|
|
|
|
ss |
46.28553392 |
|
|
|
|
|
|
Ошибка |
3.121589808 |
