From d6e261a6bc826b744174159f7a4f823b8b700b0e Mon Sep 17 00:00:00 2001 From: Operator Cad Date: Fri, 23 Oct 2020 11:20:12 +0200 Subject: [PATCH] initial commit --- .gitignore | 38 ++ mat/int_enc_comp.mat | Bin 0 -> 20489308 bytes mat/int_enc_huddle_test.mat | Bin 0 -> 7541264 bytes matlab/sensor_fusion_analysis.m | 616 ++++++++++++++++++++++++++++++ runtest.m | 128 +++++++ setup.m | 24 ++ speedgoat_IO318_100k_CI_01585.mat | Bin 0 -> 410321 bytes test_encoder.slx | Bin 0 -> 34905 bytes 8 files changed, 806 insertions(+) create mode 100644 .gitignore create mode 100644 mat/int_enc_comp.mat create mode 100644 mat/int_enc_huddle_test.mat create mode 100644 matlab/sensor_fusion_analysis.m create mode 100644 runtest.m create mode 100644 setup.m create mode 100644 speedgoat_IO318_100k_CI_01585.mat create mode 100644 test_encoder.slx diff --git a/.gitignore b/.gitignore new file mode 100644 index 0000000..0781d9d --- /dev/null +++ b/.gitignore @@ -0,0 +1,38 @@ +# Windows default autosave 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Detrend Data +ht.d = detrend(ht.d, 0); +ht.acc_1 = detrend(ht.acc_1, 0); +ht.acc_2 = detrend(ht.acc_2, 0); +ht.geo_1 = detrend(ht.geo_1, 0); +ht.geo_2 = detrend(ht.geo_2, 0); +ht.f_meas = detrend(ht.f_meas, 0); + +% Compute PSD +run setup; + +win = hann(ceil(10/Ts)); + +[p_d, f] = pwelch(ht.d, win, [], [], 1/Ts); +[p_acc1, ~] = pwelch(ht.acc_1, win, [], [], 1/Ts); +[p_acc2, ~] = pwelch(ht.acc_2, win, [], [], 1/Ts); +[p_geo1, ~] = pwelch(ht.geo_1, win, [], [], 1/Ts); +[p_geo2, ~] = pwelch(ht.geo_2, win, [], [], 1/Ts); +[p_fmeas, ~] = pwelch(ht.f_meas, win, [], [], 1/Ts); + +% Plot PSD +figure; +hold on; +plot(f, p_acc1); +plot(f, p_acc2); +hold off; +set(gca, 'Xscale', 'log'); set(gca, 'Yscale', 'log'); +ylabel('PSD [$V^2/Hz$]'); xlabel('Frequency [Hz]'); +title('Huddle Test - Accelerometers') + +figure; +hold on; +plot(f, p_geo1); +plot(f, p_geo2); +hold off; +set(gca, 'Xscale', 'log'); set(gca, 'Yscale', 'log'); +ylabel('PSD [$V^2/Hz$]'); xlabel('Frequency [Hz]'); +title('Huddle Test - Geophones') + +figure; +hold on; +plot(f, p_d); +hold off; +set(gca, 'Xscale', 'log'); set(gca, 'Yscale', 'log'); +ylabel('PSD [$m^2/Hz$]'); xlabel('Frequency [Hz]'); +title('Huddle Test - Interferometers') + +figure; +hold on; +plot(f, p_fmeas); +hold off; +set(gca, 'Xscale', 'log'); set(gca, 'Yscale', 'log'); +ylabel('PSD [$V^2/Hz$]'); xlabel('Frequency [Hz]'); +title('Huddle Test - Force Sensor') + +%% Accelerometer and Geophone Models +% Accelerometer used: https://www.pcb.com/products?model=393B05 +% Geophone used: L22 https://www.sercel.com/products/Lists/ProductSpecification/Geophones_brochure_Sercel_EN.pdf + +G_acc = 1/(1 + s/2/pi/2500); % [V/(m/s2)] +G_geo = 120*s^2/(s^2 + 2*0.7*2*pi*2*s + (2*pi*2)^2); % [[V/(m/s)] + +% PSD of intertial sensors in [m^2/Hz] +figure; +hold on; +set(gca, 'ColorOrderIndex', 1); +plot(f, sqrt(p_acc1)./abs(squeeze(freqresp(G_acc*s^2, f, 'Hz'))), ... + 'DisplayName', 'Accelerometer'); +set(gca, 'ColorOrderIndex', 1); +plot(f, sqrt(p_acc2)./abs(squeeze(freqresp(G_acc*s^2, f, 'Hz'))), ... + 'HandleVisibility', 'off'); +set(gca, 'ColorOrderIndex', 2); +plot(f, sqrt(p_geo1)./abs(squeeze(freqresp(G_geo*s, f, 'Hz'))), ... + 'DisplayName', 'Geophone'); +set(gca, 'ColorOrderIndex', 2); +plot(f, sqrt(p_geo2)./abs(squeeze(freqresp(G_geo*s, f, 'Hz'))), ... + 'HandleVisibility', 'off'); +set(gca, 'ColorOrderIndex', 3); +plot(f, sqrt(p_d), 'DisplayName', 'Interferometer'); +hold off; +set(gca, 'Xscale', 'log'); set(gca, 'Yscale', 'log'); +ylabel('ASD [$m/\sqrt{Hz}$]'); xlabel('Frequency [Hz]'); +title('Huddle Test') +legend(); + +%% Compare Theoretical model with identified one +id_ol = load('./mat/identification_noise_bis.mat', 'd', 'acc_1', 'acc_2', 'geo_1', 'geo_2', 'f_meas', 'u', 't'); + +% Detrend Data +id_ol.d = detrend(id_ol.d, 0); +id_ol.acc_1 = detrend(id_ol.acc_1, 0); +id_ol.acc_2 = detrend(id_ol.acc_2, 0); +id_ol.geo_1 = detrend(id_ol.geo_1, 0); +id_ol.geo_2 = detrend(id_ol.geo_2, 0); +id_ol.f_meas = detrend(id_ol.f_meas, 0); +id_ol.u = detrend(id_ol.u, 0); + +% Identification Parameters +run setup; +win = hann(ceil(10/Ts)); + +% IFF Plant +[tf_fmeas_est, f] = tfestimate(id_ol.u, id_ol.f_meas, win, [], [], 1/Ts); % [V/m] +[co_fmeas_est, ~] = mscohere(id_ol.u, id_ol.f_meas, win, [], [], 1/Ts); + +figure; +ax1 = subplot(2, 1, 1); +hold on; +plot(f, abs(tf_fmeas_est), '-') +set(gca, 'Xscale', 'log'); set(gca, 'Yscale', 'log'); +ylabel('Amplitude'); xlabel('Frequency [Hz]'); +hold off; + +ax2 = subplot(2, 1, 2); +hold on; +plot(f, 180/pi*angle(tf_fmeas_est), '-') +set(gca, 'Xscale', 'log'); set(gca, 'Yscale', 'lin'); +ylabel('Phase'); xlabel('Frequency [Hz]'); +hold off; + +linkaxes([ax1,ax2], 'x'); +xlim([40, 400]); + +% Geophones +[tf_geo1_est, ~] = tfestimate(id_ol.d, id_ol.geo_1, win, [], [], 1/Ts); % [V/m] +[co_geo1_est, ~] = mscohere(id_ol.d, id_ol.geo_1, win, [], [], 1/Ts); + +[tf_geo2_est, ~] = tfestimate(id_ol.d, id_ol.geo_2, win, [], [], 1/Ts); % [V/m] +[co_geo2_est, ~] = mscohere(id_ol.d, id_ol.geo_2, win, [], [], 1/Ts); + +figure; +ax1 = subplot(2, 1, 1); +hold on; +set(gca, 'ColorOrderIndex', 1); +plot(f, abs(tf_geo1_est), '.') +set(gca, 'ColorOrderIndex', 1); +plot(f, abs(tf_geo2_est), '.') +plot(f, abs(squeeze(freqresp(G_geo, f, 'Hz')).*(1i*2*pi*f)), 'k-') +set(gca, 'Xscale', 'log'); set(gca, 'Yscale', 'log'); +ylabel('Amplitude'); xlabel('Frequency [Hz]'); +hold off; + +ax2 = subplot(2, 1, 2); +hold on; +set(gca, 'ColorOrderIndex', 1); +plot(f, 180/pi*angle(tf_geo1_est), '.') +set(gca, 'ColorOrderIndex', 1); +plot(f, 180/pi*angle(tf_geo2_est), '.') +plot(f, 180/pi*angle(-squeeze(freqresp(G_geo, f, 'Hz')).*(1i*2*pi*f)), 'k-') +set(gca, 'Xscale', 'log'); set(gca, 'Yscale', 'lin'); +ylabel('Phase'); xlabel('Frequency [Hz]'); +hold off; + +linkaxes([ax1,ax2], 'x'); +xlim([40, 400]); + +% Accelerometers +[tf_acc1_est, ~] = tfestimate(id_ol.d, id_ol.acc_1, win, [], [], 1/Ts); % [V/m] +[co_acc1_est, ~] = mscohere(id_ol.d, id_ol.acc_1, win, [], [], 1/Ts); + +[tf_acc2_est, ~] = tfestimate(id_ol.d, id_ol.acc_2, win, [], [], 1/Ts); % [V/m] +[co_acc2_est, ~] = mscohere(id_ol.d, id_ol.acc_2, win, [], [], 1/Ts); + +figure; +ax1 = subplot(2, 1, 1); +hold on; +set(gca, 'ColorOrderIndex', 1); +plot(f, abs(tf_acc1_est), '.') +set(gca, 'ColorOrderIndex', 1); +plot(f, abs(tf_acc2_est), '.') +plot(f, abs(squeeze(freqresp(G_acc, f, 'Hz')).*(1i*2*pi*f).^2), 'k-') +set(gca, 'Xscale', 'log'); set(gca, 'Yscale', 'log'); +ylabel('Amplitude'); xlabel('Frequency [Hz]'); +hold off; + +ax2 = subplot(2, 1, 2); +hold on; +set(gca, 'ColorOrderIndex', 1); +plot(f, 180/pi*angle(tf_acc1_est), '.') +set(gca, 'ColorOrderIndex', 1); +plot(f, 180/pi*angle(tf_acc2_est), '.') +plot(f, 180/pi*angle(squeeze(freqresp(G_acc, f, 'Hz')).*(1i*2*pi*f).^2), 'k-') +set(gca, 'Xscale', 'log'); set(gca, 'Yscale', 'lin'); +ylabel('Phase'); xlabel('Frequency [Hz]'); +hold off; + +linkaxes([ax1,ax2], 'x'); +xlim([40, 400]); + + + +%% IFF development +[tf_fmeas_est, f] = tfestimate(id_ol.u, id_ol.f_meas, win, [], [], 1/Ts); % [V/m] +[co_fmeas_est, ~] = mscohere(id_ol.u, id_ol.f_meas, win, [], [], 1/Ts); + +% Model +wz = 2*pi*103; +xi_z = 0.01; +wp = 2*pi*238; +xi_p = 0.015; + +Giff = 20*(s^2 + 2*xi_z*s*wz + wz^2)/(s^2 + 2*xi_p*s*wp + wp^2)*(s/3/pi/(1 + s/3/pi)); + +% Comparison model and identification +figure; +ax1 = subplot(2, 1, 1); +hold on; +plot(f, abs(tf_fmeas_est), '.') +plot(f, abs(squeeze(freqresp(Giff, f, 'Hz'))), 'k-') +set(gca, 'Xscale', 'log'); set(gca, 'Yscale', 'log'); +ylabel('Amplitude'); xlabel('Frequency [Hz]'); +hold off; + +ax2 = subplot(2, 1, 2); +hold on; +plot(f, 180/pi*angle(tf_fmeas_est), '.') +plot(f, 180/pi*angle(squeeze(freqresp(Giff, f, 'Hz'))), 'k-') +set(gca, 'Xscale', 'log'); set(gca, 'Yscale', 'lin'); +ylabel('Phase'); xlabel('Frequency [Hz]'); +hold off; + +linkaxes([ax1,ax2], 'x'); +xlim([40, 400]); + +% Root Locus +gains = logspace(0, 5, 1000); + +figure; +hold on; +plot(real(pole(Giff)), imag(pole(Giff)), 'kx'); +plot(real(tzero(Giff)), imag(tzero(Giff)), 'ko'); +for i = 1:length(gains) + cl_poles = pole(feedback(Giff, gains(i)/(s + 2*pi*2))); + plot(real(cl_poles), imag(cl_poles), 'k.'); +end +ylim([0, 1800]); +xlim([-1600,200]); +xlabel('Real Part') +ylabel('Imaginary Part') +axis square + +% Optimal Controller +Kiff_opt = 110/(s + 2*pi*2); + +%% New identification +id_ol = load('./mat/identification_chirp_40_400.mat', 'd', 'acc_1', 'acc_2', 'geo_1', 'geo_2', 'f_meas', 'u', 't'); +id_cl = load('./mat/identification_chirp_40_400_iff.mat', 'd', 'acc_1', 'acc_2', 'geo_1', 'geo_2', 'f_meas', 'u', 't'); + +% Used controller +Kiff = -110/(s + 2*pi*2); + +[tf_G_ol_est, f] = tfestimate(id_ol.u, id_ol.d, win, [], [], 1/Ts); +[co_G_ol_est, ~] = mscohere(id_ol.u, id_ol.d, win, [], [], 1/Ts); +[tf_G_cl_est, ~] = tfestimate(id_cl.u, id_cl.d, win, [], [], 1/Ts); +[co_G_cl_est, ~] = mscohere(id_cl.u, id_cl.d, win, [], [], 1/Ts); + +figure; +hold on; +plot(f, co_G_ol_est, '-') +plot(f, co_G_cl_est, '-') +set(gca, 'Xscale', 'log'); set(gca, 'Yscale', 'lin'); +ylabel('Coherence'); xlabel('Frequency [Hz]'); +hold off; +xlim([40, 400]); ylim([0, 1]) + +% Comparison model and identification +figure; +ax1 = subplot(2, 1, 1); +hold on; +plot(f, abs(tf_G_ol_est), '-') +plot(f, abs(tf_G_cl_est), '-') +set(gca, 'Xscale', 'log'); set(gca, 'Yscale', 'log'); +ylabel('Amplitude'); xlabel('Frequency [Hz]'); +hold off; + +ax2 = subplot(2, 1, 2); +hold on; +plot(f, 180/pi*angle(tf_G_ol_est), '-') +plot(f, 180/pi*angle(tf_G_cl_est), '-') +set(gca, 'Xscale', 'log'); set(gca, 'Yscale', 'lin'); +ylabel('Phase'); xlabel('Frequency [Hz]'); +hold off; + +linkaxes([ax1,ax2], 'x'); +xlim([40, 400]); + + +%% Excitation Signal +run setup; + +% Get trasnfer function from input [V] to output displacement [m] +id_cl = load('./mat/identification_noise_iff_bis.mat', 'd', 'acc_1', 'acc_2', 'geo_1', 'geo_2', 'f_meas', 'u', 't'); + +win = hann(ceil(10/Ts)); + +[tf_G_cl_est, f] = tfestimate(id_cl.u, id_cl.d, win, [], [], 1/Ts); +[co_G_cl_est, ~] = mscohere(id_cl.u, id_cl.d, win, [], [], 1/Ts); + +G_d_est = -5e-6*(2*pi*230)^2/(s^2 + 2*0.3*2*pi*240*s + (2*pi*240)^2); + +figure; +ax1 = subplot(2, 1, 1); +hold on; +plot(f, abs(tf_G_cl_est), '-') +plot(f, abs(squeeze(freqresp(G_d_est, f, 'Hz'))), '--') +set(gca, 'Xscale', 'log'); set(gca, 'Yscale', 'log'); +ylabel('Amplitude [m/V]'); xlabel('Frequency [Hz]'); +hold off; + +ax2 = subplot(2, 1, 2); +hold on; +plot(f, 180/pi*angle(tf_G_cl_est), '-') +plot(f, 180/pi*angle(squeeze(freqresp(G_d_est, f, 'Hz'))), '--') +set(gca, 'Xscale', 'log'); set(gca, 'Yscale', 'lin'); +ylabel('Phase'); xlabel('Frequency [Hz]'); +hold off; + +linkaxes([ax1,ax2], 'x'); +xlim([10, 1000]); + +% +ht = load('./mat/huddle_test.mat', 'd', 'acc_1', 'acc_2', 'geo_1', 'geo_2', 'f_meas', 'u', 't'); + +ht.d = detrend(ht.d, 0); +ht.acc_1 = detrend(ht.acc_1, 0); +ht.acc_2 = detrend(ht.acc_2, 0); +ht.geo_1 = detrend(ht.geo_1, 0); +ht.geo_2 = detrend(ht.geo_2, 0); + +win = hann(ceil(10/Ts)); + +[p_d, f] = pwelch(ht.d, win, [], [], 1/Ts); +[p_acc1, ~] = pwelch(ht.acc_1, win, [], [], 1/Ts); +[p_acc2, ~] = pwelch(ht.acc_2, win, [], [], 1/Ts); +[p_geo1, ~] = pwelch(ht.geo_1, win, [], [], 1/Ts); +[p_geo2, ~] = pwelch(ht.geo_2, win, [], [], 1/Ts); + +% Generate Time domain signal with wanted PSD +Fs = 1/Ts; % Sampling Frequency [Hz] + +t = 0:Ts:180; % Time Vector [s] +u = sqrt(Fs/2)*randn(length(t), 1); % Signal with an ASD equal to one + +G_exc = 0.2e-6/(1 + s/2/pi/2)/(1 + s/2/pi/50); + +y_d = lsim(G_exc, u, t); + +[pxx, ~] = pwelch(y_d, win, 0, [], Fs); + +figure; +hold on; +set(gca, 'ColorOrderIndex', 1); +plot(f, sqrt(p_acc1)./abs(squeeze(freqresp(G_acc*s^2, f, 'Hz'))), ... + 'DisplayName', 'Accelerometer'); +set(gca, 'ColorOrderIndex', 1); +plot(f, sqrt(p_acc2)./abs(squeeze(freqresp(G_acc*s^2, f, 'Hz'))), ... + 'HandleVisibility', 'off'); +set(gca, 'ColorOrderIndex', 2); +plot(f, sqrt(p_geo1)./abs(squeeze(freqresp(G_geo*s, f, 'Hz'))), ... + 'DisplayName', 'Geophone'); +set(gca, 'ColorOrderIndex', 2); +plot(f, sqrt(p_geo2)./abs(squeeze(freqresp(G_geo*s, f, 'Hz'))), ... + 'HandleVisibility', 'off'); +plot(f, sqrt(pxx), 'k-', ... + 'DisplayName', 'Excitation'); +set(gca, 'ColorOrderIndex', 3); +plot(f, sqrt(p_d), 'DisplayName', 'Interferometer'); +hold off; +set(gca, 'Xscale', 'log'); set(gca, 'Yscale', 'log'); +ylabel('ASD [$m/\sqrt{Hz}$]'); xlabel('Frequency [Hz]'); +title('Huddle Test') +legend(); + +% From displacement to Voltage +y_v = lsim(G_exc*(1 + s/2/pi/50)/G_d_est/(1 + s/2/pi/5e3), u, t); +figure; plot(t, y_v) +figure; plot(t, lsim(G_pf, y_v, t)) + +%% Transfer function of inertial sensors +load('./mat/identification_noise_opt_iff.mat', 'd', 'acc_1', 'acc_2', 'geo_1', 'geo_2', 'f_meas', 'u', 't'); + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +%% Estimation of the inertial sensor transfer functions +id = load('./mat/identification_noise_opt_iff.mat', 'd', 'acc_1', 'acc_2', 'geo_1', 'geo_2', 'f_meas', 'u', 't'); +ht = load('./mat/huddle_test.mat', 'd', 'acc_1', 'acc_2', 'geo_1', 'geo_2', 'f_meas', 'u', 't'); + +ht.d = detrend(ht.d, 0); +ht.acc_1 = detrend(ht.acc_1, 0); +ht.acc_2 = detrend(ht.acc_2, 0); +ht.geo_1 = detrend(ht.geo_1, 0); +ht.geo_2 = detrend(ht.geo_2, 0); +ht.f_meas = detrend(ht.f_meas, 0); + +id.d = detrend(id.d, 0); +id.acc_1 = detrend(id.acc_1, 0); +id.acc_2 = detrend(id.acc_2, 0); +id.geo_1 = detrend(id.geo_1, 0); +id.geo_2 = detrend(id.geo_2, 0); +id.f_meas = detrend(id.f_meas, 0); + +% Compare PSD +run setup; +win = hann(ceil(10/Ts)); + +[p_id_d, f] = pwelch(id.d, win, [], [], 1/Ts); +[p_id_acc1, ~] = pwelch(id.acc_1, win, [], [], 1/Ts); +[p_id_acc2, ~] = pwelch(id.acc_2, win, [], [], 1/Ts); +[p_id_geo1, ~] = pwelch(id.geo_1, win, [], [], 1/Ts); +[p_id_geo2, ~] = pwelch(id.geo_2, win, [], [], 1/Ts); +[p_id_fmeas, ~] = pwelch(id.f_meas, win, [], [], 1/Ts); + +[p_ht_d, ~] = pwelch(ht.d, win, [], [], 1/Ts); +[p_ht_acc1, ~] = pwelch(ht.acc_1, win, [], [], 1/Ts); +[p_ht_acc2, ~] = pwelch(ht.acc_2, win, [], [], 1/Ts); +[p_ht_geo1, ~] = pwelch(ht.geo_1, win, [], [], 1/Ts); +[p_ht_geo2, ~] = pwelch(ht.geo_2, win, [], [], 1/Ts); +[p_ht_fmeas, ~] = pwelch(ht.f_meas, win, [], [], 1/Ts); + +figure; +hold on; +set(gca, 'ColorOrderIndex', 1); +plot(f, p_ht_acc1, 'DisplayName', 'Huddle Test'); +set(gca, 'ColorOrderIndex', 1); +plot(f, p_ht_acc2, 'HandleVisibility', 'off'); +set(gca, 'ColorOrderIndex', 2); +plot(f, p_id_acc1, 'DisplayName', 'Identification Test'); +set(gca, 'ColorOrderIndex', 2); +plot(f, p_id_acc2, 'HandleVisibility', 'off'); +hold off; +set(gca, 'Xscale', 'log'); set(gca, 'Yscale', 'log'); +ylabel('PSD [$V^2/Hz$]'); xlabel('Frequency [Hz]'); +title('Huddle Test - Accelerometers') +legend(); + +figure; +hold on; +set(gca, 'ColorOrderIndex', 1); +plot(f, p_ht_geo1, 'DisplayName', 'Huddle Test'); +set(gca, 'ColorOrderIndex', 1); +plot(f, p_ht_geo2, 'HandleVisibility', 'off'); +set(gca, 'ColorOrderIndex', 2); +plot(f, p_id_geo1, 'DisplayName', 'Identification Test'); +set(gca, 'ColorOrderIndex', 2); +plot(f, p_id_geo2, 'HandleVisibility', 'off'); +hold off; +set(gca, 'Xscale', 'log'); set(gca, 'Yscale', 'log'); +ylabel('PSD [$V^2/Hz$]'); xlabel('Frequency [Hz]'); +title('Huddle Test - Geophones') +legend(); + +figure; +hold on; +plot(f, p_ht_d, 'DisplayName', 'Huddle Test'); +plot(f, p_id_d, 'DisplayName', 'Identification Test'); +hold off; +set(gca, 'Xscale', 'log'); set(gca, 'Yscale', 'log'); +ylabel('PSD [$m^2/Hz$]'); xlabel('Frequency [Hz]'); +title('Huddle Test - Interferometers') +legend(); + +% tf and coh computation +[tf_acc1_est, f] = tfestimate(id.d, id.acc_1, win, [], [], 1/Ts); +[co_acc1_est, ~] = mscohere(id.d, id.acc_1, win, [], [], 1/Ts); +[tf_acc2_est, ~] = tfestimate(id.d, id.acc_2, win, [], [], 1/Ts); +[co_acc2_est, ~] = mscohere(id.d, id.acc_2, win, [], [], 1/Ts); + +[tf_geo1_est, ~] = tfestimate(id.d, id.geo_1, win, [], [], 1/Ts); +[co_geo1_est, ~] = mscohere(id.d, id.geo_1, win, [], [], 1/Ts); +[tf_geo2_est, ~] = tfestimate(id.d, id.geo_2, win, [], [], 1/Ts); +[co_geo2_est, ~] = mscohere(id.d, id.geo_2, win, [], [], 1/Ts); + +% Coherence +figure; +hold on; +set(gca, 'ColorOrderIndex', 1); +plot(f, co_acc1_est, '-', 'DisplayName', 'Accelerometer') +set(gca, 'ColorOrderIndex', 1); +plot(f, co_acc2_est, '-', 'HandleVisibility', 'off') +set(gca, 'ColorOrderIndex', 2); +plot(f, co_geo1_est, '-', 'DisplayName', 'Geophone') +set(gca, 'ColorOrderIndex', 2); +plot(f, co_geo2_est, '-', 'HandleVisibility', 'off') +set(gca, 'Xscale', 'log'); set(gca, 'Yscale', 'lin'); +ylabel('Coherence'); xlabel('Frequency [Hz]'); +hold off; +xlim([2, 2e3]); ylim([0, 1]) +legend(); + +% Models +G_acc = 1/(1 + s/2/pi/2500); % [V/(m/s2)] +G_geo = -1200*s^2/(s^2 + 2*0.7*2*pi*2*s + (2*pi*2)^2); % [[V/(m/s)] + + +% Transfer Functions +figure; +ax1 = subplot(2, 1, 1); +hold on; +plot(f, abs(tf_acc1_est./(1i*2*pi*f).^2), '-') +plot(f, abs(tf_acc2_est./(1i*2*pi*f).^2), '-') +plot(f, abs(squeeze(freqresp(G_acc, f, 'Hz'))), 'k-') +set(gca, 'Xscale', 'log'); set(gca, 'Yscale', 'log'); +ylabel('Amplitude [V/(m/s^2)]'); xlabel('Frequency [Hz]'); +hold off; + +ax2 = subplot(2, 1, 2); +hold on; +plot(f, 180/pi*angle(tf_acc1_est./(1i*2*pi*f).^2), '-') +plot(f, 180/pi*angle(tf_acc2_est./(1i*2*pi*f).^2), '-') +plot(f, 180/pi*angle(squeeze(freqresp(G_acc, f, 'Hz'))), 'k-') +set(gca, 'Xscale', 'log'); set(gca, 'Yscale', 'lin'); +ylabel('Phase'); xlabel('Frequency [Hz]'); +hold off; + +linkaxes([ax1,ax2], 'x'); +xlim([2, 2e3]); + + +figure; +ax1 = subplot(2, 1, 1); +hold on; +plot(f, abs(tf_geo1_est./(1i*2*pi*f)), '-') +plot(f, abs(tf_geo2_est./(1i*2*pi*f)), '-') +plot(f, abs(squeeze(freqresp(G_geo, f, 'Hz'))), 'k-') +set(gca, 'Xscale', 'log'); set(gca, 'Yscale', 'log'); +ylabel('Amplitude[V/(m/s)]'); xlabel('Frequency [Hz]'); +hold off; + +ax2 = subplot(2, 1, 2); +hold on; +plot(f, 180/pi*angle(tf_geo1_est./(1i*2*pi*f)), '-') +plot(f, 180/pi*angle(tf_geo2_est./(1i*2*pi*f)), '-') +plot(f, 180/pi*angle(squeeze(freqresp(G_geo, f, 'Hz'))), 'k-') +set(gca, 'Xscale', 'log'); set(gca, 'Yscale', 'lin'); +ylabel('Phase'); xlabel('Frequency [Hz]'); +hold off; + +linkaxes([ax1,ax2], 'x'); +xlim([0.5, 2e3]); + + +%% Compare signal + +id.acc_1 = detrend(id.acc_1, 0); +id.acc_2 = detrend(id.acc_2, 0); +id.geo_1 = detrend(id.geo_1, 0); +id.geo_2 = detrend(id.geo_2, 0); +id.d = detrend(id.d, 0); + +G_acc = 1/(1 + s/2/pi/2500); % [V/(m/s2)] +G_geo = -1200*s^2/(s^2 + 2*0.7*2*pi*2*s + (2*pi*2)^2); % [V/(m/s)] + +G_hpf = (s/2/pi/2)/(1 + s/2/pi/2); + +acc1_d = lsim(G_hpf*1/G_acc/(s + 2*pi)^2, id.acc_1, id.t); +acc2_d = lsim(G_hpf*1/G_acc/(s + 2*pi)^2, id.acc_2, id.t); +geo1_d = lsim(G_hpf*1/G_geo/(s + 2*pi), id.geo_1, id.t); +geo2_d = lsim(G_hpf*1/G_geo/(s + 2*pi), id.geo_2, id.t); + +figure; +hold on; +plot(id.t, id.d); +plot(id.t, acc1_d); +plot(id.t, acc2_d); +plot(id.t, geo1_d); +plot(id.t, geo2_d); +hold off; +xlabel('Time [s]'); ylabel('Displacement [m]'); + +% Fusion +wc = 2*pi*200; +G_hpf = (s/wc)/(1 + s/wc); +G_lpf = 1/(1 + s/wc); + +ss_d = lsim(G_hpf, acc1_d, id.t) + lsim(G_lpf, geo1_d, id.t); + +figure; +hold on; +plot(id.t, id.d); +plot(id.t, ss_d); +hold off; +xlabel('Time [s]'); ylabel('Displacement [m]'); + + + + diff --git a/runtest.m b/runtest.m new file mode 100644 index 0000000..1ab91d7 --- /dev/null +++ b/runtest.m @@ -0,0 +1,128 @@ +tg = slrt; + +%% +f = SimulinkRealTime.openFTP(tg); +mget(f, 'int_enc.dat', 'data'); +close(f); + +%% Convert the Data +data = SimulinkRealTime.utils.getFileScopeData('data/int_enc.dat').data; + +interferometer = data(:, 1); +encoder = data(:, 2); +u = data(:, 3); +t = data(:, 4); + +save('./mat/int_enc_comp.mat', 'interferometer', 'encoder', 'u' , 't'); + +%% +interferometer = detrend(interferometer, 0); +encoder = detrend(encoder, 0); + +%% +run setup; + +win = hann(ceil(10/Ts)); + +[p_i, f] = pwelch(interferometer, win, [], [], 1/Ts); +[p_e, ~] = pwelch(encoder, win, [], [], 1/Ts); + +%% +figure; +hold on; +plot(f, sqrt(p_i), 'DisplayName', 'Interferometer'); +plot(f, sqrt(p_e), 'DisplayName', 'Encoder'); +hold off; +set(gca, 'Xscale', 'log'); set(gca, 'Yscale', 'log'); +ylabel('ASD [$m/\sqrt{Hz}$]'); xlabel('Frequency [Hz]'); +grid; +legend('location', 'northeast'); + +%% +run setup; + +win = hann(ceil(10/Ts)); + +[tf_geo1_est, f] = tfestimate(d, geo_1, win, [], [], 1/Ts); +[co_geo1_est, ~] = mscohere(d, geo_1, win, [], [], 1/Ts); + +[tf_geo2_est, ~] = tfestimate(d, geo_2, win, [], [], 1/Ts); +[co_geo2_est, ~] = mscohere(d, geo_2, win, [], [], 1/Ts); + +[tf_acc1_est, ~] = tfestimate(d, encoder, win, [], [], 1/Ts); +[co_acc1_est, ~] = mscohere(d, encoder, win, [], [], 1/Ts); + +[tf_acc2_est, ~] = tfestimate(d, acc_2, win, [], [], 1/Ts); +[co_acc2_est, ~] = mscohere(d, acc_2, win, [], [], 1/Ts); + +%% +figure; + +hold on; +plot(f, co_geo1_est, '-') +plot(f, co_geo2_est, '-') +plot(f, co_acc1_est, '-') +plot(f, co_acc2_est, '-') +set(gca, 'Xscale', 'log'); set(gca, 'Yscale', 'lin'); +ylabel('Coherence'); xlabel('Frequency [Hz]'); +hold off; + +%% +figure; +ax1 = subplot(2, 1, 1); +hold on; +plot(f, abs(tf_geo1_est), '-', 'DisplayName', 'Geo1') +set(gca, 'Xscale', 'log'); set(gca, 'Yscale', 'log'); +ylabel('Amplitude'); xlabel('Frequency [Hz]'); +hold off; + +ax2 = subplot(2, 1, 2); +hold on; +plot(f, 180/pi*unwrap(angle(tf_geo1_est)), '-') +set(gca, 'Xscale', 'log'); set(gca, 'Yscale', 'lin'); +ylabel('Phase'); xlabel('Frequency [Hz]'); +hold off; + +linkaxes([ax1,ax2], 'x'); + +%% +figure; +ax1 = subplot(2, 1, 1); +hold on; +plot(f, abs(tf_acc1_est), '-', 'DisplayName', 'Acc1') +plot(f, abs(tf_acc2_est), '-', 'DisplayName', 'Acc2') +set(gca, 'Xscale', 'log'); set(gca, 'Yscale', 'log'); +ylabel('Amplitude'); xlabel('Frequency [Hz]'); +hold off; + +ax2 = subplot(2, 1, 2); +hold on; +plot(f, 180/pi*unwrap(angle(tf_acc1_est)), '-') +plot(f, 180/pi*unwrap(angle(tf_acc2_est)), '-') +set(gca, 'Xscale', 'log'); set(gca, 'Yscale', 'lin'); +ylabel('Phase'); xlabel('Frequency [Hz]'); +hold off; + +linkaxes([ax1,ax2], 'x'); + +%% +win = hann(ceil(10/Ts)); + +[p_acc_1, f] = pwelch(encoder, win, [], [], 1/Ts); +[co_acc12, ~] = mscohere(encoder, acc_2, win, [], [], 1/Ts); + +[p_geo_1, ~] = pwelch(geo_1, win, [], [], 1/Ts); +[co_geo12, ~] = mscohere(geo_1, geo_2, win, [], [], 1/Ts); + +p_acc_N = p_acc_1.*(1 - co_acc12); +p_geo_N = p_geo_1.*(1 - co_geo12); + + +figure; +hold on; +plot(f, sqrt(p_acc_N)./abs(tf_acc1_est)); +plot(f, sqrt(p_geo_N)./abs(tf_geo1_est)); +hold off; +set(gca, 'Xscale', 'log'); set(gca, 'Yscale', 'log'); +ylabel('PSD'); xlabel('Frequency [Hz]'); + diff --git a/setup.m b/setup.m new file mode 100644 index 0000000..717af62 --- /dev/null +++ b/setup.m @@ -0,0 +1,24 @@ +%% +s = tf('s'); +Ts = 1e-4; % [s] + +%% Pre-Filter +G_pf = 1/(1 + s/2/pi/10); +G_pf = c2d(G_pf, Ts, 'tustin'); + +% %% Force Sensor Filter (HPF) +% Gf_hpf = s/(s + 2*pi*2); +% Gf_hpf = tf(1); +% Gf_hpf = c2d(Gf_hpf, Ts, 'tustin'); +% +% %% IFF Controller +% Kiff = 1/(s + 2*pi*2); +% Kiff = c2d(Kiff, Ts, 'tustin'); +% +% %% Excitation Signal +% Tsim = 180; % Excitation time + Measurement time [s] +% +% t = 0:Ts:Tsim; +% % u_exc = timeseries(chirp(t, 0.1, Tsim, 1e3, 'logarithmic'), t); +% u_exc = timeseries(chirp(t, 40, Tsim, 400, 'logarithmic'), t); +% % u_exc = timeseries(y_v, t); \ No newline at end of file diff --git a/speedgoat_IO318_100k_CI_01585.mat b/speedgoat_IO318_100k_CI_01585.mat new file mode 100644 index 0000000000000000000000000000000000000000..094402c0a0c3177b0f6223ef4d157d119a31d649 GIT binary patch literal 410321 zcmcG#bC9R85;po9+qP}nw(XhSv2EM7XLhh-+qP}n_T6*NcmKb2tG-m;s;&yE^W;f) z-gF`-q$(>UOvpyhNGK<yN@r?e{hO9h(b~w_)Xvd{n@~|iLrR{Vm6lM%@wbul?_Y#= zw%mkrcD96aMjnKWOoU9F+-#iOOzecrj7%Ja{~r_J|4l$ratQxq=6|1i_JN6^p*_Hu zo$%Oyp0F4Ch=tflpU@S?-p!dtnvPa(N~RjL!o-L(Ua1cl;6@Jq^`DlTg5dvJUar<j z4+vsH-2N<8hzHLrIWW37PHwe9Q*pK~4QVwj_6<QOj&gB9%f|-DcLzkpcl*yE67*`6 zxiL`(hpJa#*z_1k_8fN{-ZP+jTEO)72^z1d&RjNYPwl&JMKh^jalW6FDixi^NMGN? 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