Commit f27e91828c8845706a48e89f123fdd436906fe69
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dat_ident.py
File was created | 1 | # -*- coding: utf-8 -*- | ||
2 | """ | |||
3 | Created on Wed Mar 16 10:22:54 2016 | |||
4 | ||||
5 | @author: Baptiste Marechal | |||
6 | """ | |||
7 | ||||
8 | import csv, time, glob, datetime, os | |||
9 | import matplotlib.pyplot as plt | |||
10 | import matplotlib.dates as md | |||
11 | ||||
12 | #from scipy import signal | |||
13 | #from scipy.optimize import curve_fit | |||
14 | ||||
15 | tic = time.time() | |||
16 | ||||
17 | os.chdir('/home/user/sicav_data/Manip/2016/2016-03/') | |||
18 | ||||
19 | def getColumn(filename, column): | |||
20 | results = [] | |||
21 | for dat_file in sorted(glob.glob(filename)): | |||
22 | file_result = csv.reader(open(dat_file), delimiter='\t') | |||
23 | results = results + map(float,[result[column] for result in file_result]) | |||
24 | return results | |||
25 | ||||
26 | t = getColumn('*-lakeshore.dat', 0) | |||
27 | T1 = getColumn('*-lakeshore.dat', 2) | |||
28 | T2 = getColumn('*-lakeshore.dat', 3) | |||
29 | T3 = getColumn('*-lakeshore.dat', 4) | |||
30 | T4 = getColumn('*-lakeshore.dat', 5) | |||
31 | ||||
32 | """ | |||
33 | n = 400 | |||
34 | t = [t[n*i] for i in range(len(t)/n)] | |||
35 | T1 = [T1[n*i] for i in range(len(T1)/n)] | |||
36 | T2 = [T2[n*i] for i in range(len(T2)/n)] | |||
37 | T3 = [T3[n*i] for i in range(len(T3)/n)] | |||
38 | T4 = [T4[n*i] for i in range(len(T4)/n)] | |||
39 | ||||
40 | def func(U, a0, b1, b2, y0): | |||
41 | sys = signal.lti([a0],[b2, b1, 1]) | |||
42 | y = sys.output(U, t, y0) | |||
43 | return y[1] | |||
44 | ||||
45 | print('Fitting...') | |||
46 | popt, cov = curve_fit(func, T1, T4) | |||
47 | print(popt) | |||
48 | Yfit = func(T1, *popt) | |||
49 | """ | |||
50 | timetamps = [datetime.datetime.fromtimestamp(ti) for ti in t] | |||
51 | datenums=md.date2num(timetamps) | |||
52 | ||||
53 | plt.subplots_adjust(bottom=0.35) | |||
54 | plt.xticks(rotation=90) | |||
55 | ax=plt.gca() | |||
56 | xfmt = md.DateFormatter('%Y-%m-%d %H:%M:%S') |
first_order_ident.py
File was created | 1 | # -*- coding: utf-8 -*- | ||
2 | """ | |||
3 | Created on Fri Mar 11 11:04:35 2016 | |||
4 | ||||
5 | @author: Baptiste Marechal | |||
6 | """ | |||
7 | ||||
8 | from scipy import signal, linspace, pi, randn, ones | |||
9 | from scipy.optimize import curve_fit | |||
10 | import matplotlib.pyplot as plt | |||
11 | import time | |||
12 | ||||
13 | tic = time.time() | |||
14 | ||||
15 | '''function to optimize''' | |||
16 | def func(u, K, tau, y0): | |||
17 | sys = signal.lti(K, [tau, 1]) | |||
18 | y = sys.output(u, t, y0) | |||
19 | return y[1] | |||
20 | ||||
21 | '''input square signal''' | |||
22 | global t | |||
23 | t = linspace(0, 20, 1000) | |||
24 | Umes = -0.5*(signal.square(2*pi*0.1*t)+ones(len(t)))+ones(len(t))+randn(len(t))/50 | |||
25 | ||||
26 | '''noisy output signal''' | |||
27 | p = [1, 1, 0] | |||
28 | Ymes = func(Umes, *p)+randn(len(Umes))/50 | |||
29 | ||||
30 | '''input and output signals plot''' | |||
31 | plt.plot(t, Umes, label = 'Umes') | |||
32 | plt.plot(t, Ymes, label = 'Ymes') | |||
33 | ||||
34 | ||||
35 | '''optimization with non-linear least squares method''' | |||
36 | popt, cov = curve_fit(func, Umes, Ymes) | |||
37 | print(p) |