test-bench-nano-hexapod/matlab/identif_setup.m

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%% Clear Workspace and Close figures
clear; close all; clc;
%% Intialize Laplace variable
s = zpk('s');
addpath('./src/');
%% Simulation configuration
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Fs = 10e3; % Sampling Frequency [Hz]
Ts = 1/Fs; % Sampling Time [s]
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%% Data record configuration
Trec_start = 5; % Start time for Recording [s]
Trec_dur = 100; % Recording Duration [s]
Tsim = 2*Trec_start + Trec_dur; % Simulation Time [s]
%% Shaped Noise
V_noise = generateShapedNoise('Ts', 1/Fs, ...
'V_mean', 3.25, ...
't_start', Trec_start, ...
'exc_duration', Trec_dur, ...
'smooth_ends', true, ...
'V_exc', 0.05/(1 + s/2/pi/10));
%% Sweep Sine
gc = 0.1;
xi = 0.5;
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wn = 2*pi*92.7;
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% Notch filter at the resonance of the APA
G_sweep = 0.2*(s^2 + 2*gc*xi*wn*s + wn^2)/(s^2 + 2*xi*wn*s + wn^2);
V_sweep = generateSweepExc('Ts', Ts, ...
'f_start', 10, ...
'f_end', 400, ...
'V_mean', 3.25, ...
't_start', Trec_start, ...
'exc_duration', Trec_dur, ...
'sweep_type', 'log', ...
'V_exc', G_sweep*1/(1 + s/2/pi/500));
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V_sweep_lf = generateSweepExc('Ts', Ts, ...
'f_start', 0.1, ...
'f_end', 10, ...
'V_mean', 3.25, ...
't_start', Trec_start, ...
'exc_duration', Trec_dur, ...
'sweep_type', 'log', ...
'V_exc', 0.2);
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%% High Frequency Shaped Noise
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[b,a] = cheby1(10, 2, 2*pi*[240 2e3], 'bandpass', 's');
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wL = 0.005*tf(b, a);
V_noise_hf = generateShapedNoise('Ts', 1/Fs, ...
'V_mean', 3.25, ...
't_start', Trec_start, ...
'exc_duration', Trec_dur, ...
'smooth_ends', true, ...
'V_exc', wL);
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%% Low Frequency Shaped Noise
[b,a] = cheby1(10, 2, 2*pi*[10 260], 'bandpass', 's');
wL = 0.005*tf(b, a);
V_noise_lf = generateShapedNoise('Ts', 1/Fs, ...
'V_mean', 3.25, ...
't_start', Trec_start, ...
'exc_duration', Trec_dur, ...
'smooth_ends', true, ...
'V_exc', wL);
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%% Sinus excitation with increasing amplitude
V_sin = generateSinIncreasingAmpl('Ts', 1/Fs, ...
'V_mean', 3.25, ...
'sin_ampls', [0.1, 0.2, 0.4, 1, 2, 4], ...
'sin_period', 1, ...
'sin_num', 5, ...
't_start', Trec_start, ...
'smooth_ends', true);
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%% Zero Excitation
% Trec_start = 10; % Start time for Recording [s]
% Trec_dur = 10; % Recording Duration [s]
%
% Tsim = 2*Trec_start + Trec_dur; % Simulation Time [s]
V_zero = generateShapedNoise('Ts', 1/Fs, ...
'V_mean', 3.25, ...
't_start', Trec_start, ...
'exc_duration', Trec_dur, ...
'smooth_ends', true, ...
'V_exc', tf(0));
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%% Select the excitation signal
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V_exc = timeseries(V_noise_hf(2,:), V_noise_hf(1,:));
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%% Plot
figure;
tiledlayout(1, 2, 'TileSpacing', 'Normal', 'Padding', 'None');
ax1 = nexttile;
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plot(V_exc.Time, squeeze(V_exc.Data));
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xlabel('Time [s]'); ylabel('Amplitude [V]');
ax2 = nexttile;
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win = hanning(floor(length(squeeze(V_exc.Data))/8));
[pxx, f] = pwelch(squeeze(V_exc.Data), win, 0, [], Fs);
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plot(f, pxx)
xlabel('Frequency [Hz]'); ylabel('Power Spectral Density [$V^2/Hz$]');
set(gca, 'xscale', 'log'); set(gca, 'yscale', 'log');
xlim([1, Fs/2]); ylim([1e-10, 1e0]);
%% Save data that will be loaded in the Simulink file
save('./frf_data.mat', 'Fs', 'Ts', 'Tsim', 'Trec_start', 'Trec_dur', 'V_exc');