Removed section about identification with DAC
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197
index.org
197
index.org
@ -55,6 +55,7 @@
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:header-args:matlab+: :tangle matlab/huddle_test.m
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:header-args:matlab+: :tangle matlab/huddle_test.m
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:header-args:matlab+: :comments org :mkdirp yes
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:header-args:matlab+: :comments org :mkdirp yes
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:END:
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:END:
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<<sec:huddle_test>>
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** Matlab Init :noexport:ignore:
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** Matlab Init :noexport:ignore:
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#+begin_src matlab :tangle no :exports none :results silent :noweb yes :var current_dir=(file-name-directory buffer-file-name)
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#+begin_src matlab :tangle no :exports none :results silent :noweb yes :var current_dir=(file-name-directory buffer-file-name)
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@ -127,202 +128,6 @@
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#+RESULTS:
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#+RESULTS:
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[[file:figs/huddle_test_pdf.png]]
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[[file:figs/huddle_test_pdf.png]]
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* Transfer Function Estimation using the DAC as the driver :noexport:
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:PROPERTIES:
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:header-args:matlab+: :tangle matlab/tf_estimation.m
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:header-args:matlab+: :comments org :mkdirp yes
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:END:
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** Introduction :ignore:
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#+begin_important
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Results presented in this sections are wrong as the ADC cannot deliver enought current to the piezoelectric actuator.
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#+end_important
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** Matlab Init :noexport:ignore:
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#+begin_src matlab :tangle no :exports none :results silent :noweb yes :var current_dir=(file-name-directory buffer-file-name)
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<<matlab-dir>>
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#+end_src
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#+begin_src matlab :exports none :results silent :noweb yes
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<<matlab-init>>
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#+end_src
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#+begin_src matlab :tangle no
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addpath('./matlab/mat/');
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#+end_src
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#+begin_src matlab :eval no
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addpath('./mat/');
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#+end_src
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** Load Data :noexport:
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#+begin_src matlab
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ht = load('huddle_test.mat', 't', 'u', 'y');
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load('apa95ml_5kg_10V.mat', 't', 'u', 'y');
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#+end_src
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** Time Domain Data
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#+begin_src matlab :exports none
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figure;
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subplot(1,2,1);
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plot(t, u)
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ylabel('Input Voltage [V]'); xlabel('Time [s]');
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subplot(1,2,2);
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plot(t, y)
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ylabel('Output Displacement [m]'); xlabel('Time [s]');
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#+end_src
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#+begin_src matlab :tangle no :exports results :results file replace
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exportFig('figs/apa95ml_5kg_10V_time_domain.pdf', 'width', 'full', 'height', 'tall');
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#+end_src
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#+name: fig:apa95ml_5kg_10V_time_domain
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#+caption: Time domain signals during the test
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#+RESULTS:
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[[file:figs/apa95ml_5kg_10V_time_domain.png]]
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** Comparison of the PSD with Huddle Test
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#+begin_src matlab
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Ts = t(end)/(length(t)-1);
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Fs = 1/Ts;
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win = hanning(ceil(1*Fs));
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#+end_src
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#+begin_src matlab
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[pxx, f] = pwelch(y, win, [], [], Fs);
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[pht, ~] = pwelch(ht.y, win, [], [], Fs);
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#+end_src
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#+begin_src matlab :exports none
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figure;
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hold on;
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plot(f, sqrt(pxx), 'DisplayName', '5kg');
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plot(f, sqrt(pht), 'DisplayName', 'Huddle Test');
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hold off;
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set(gca, 'XScale', 'log'); set(gca, 'YScale', 'log');
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xlabel('Frequency [Hz]'); ylabel('ASD [$m/\sqrt{Hz}$]');
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legend('location', 'northeast');
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xlim([1, Fs/2]);
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#+end_src
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#+begin_src matlab :tangle no :exports results :results file replace
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exportFig('figs/apa95ml_5kg_10V_pdf_comp_huddle.pdf', 'width', 'wide', 'height', 'tall');
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#+end_src
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#+name: fig:apa95ml_5kg_10V_pdf_comp_huddle
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#+caption: Comparison of the ASD for the identification test and the huddle test
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#+RESULTS:
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[[file:figs/apa95ml_5kg_10V_pdf_comp_huddle.png]]
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** Compute TF estimate and Coherence
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#+begin_src matlab
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Ts = t(end)/(length(t)-1);
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Fs = 1/Ts;
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#+end_src
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#+begin_src matlab
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win = hann(ceil(1/Ts));
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[tf_est, f] = tfestimate(u, -y, win, [], [], 1/Ts);
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[co_est, ~] = mscohere( u, -y, win, [], [], 1/Ts);
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#+end_src
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#+begin_src matlab :exports none
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figure;
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hold on;
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plot(f, co_est, 'k-')
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set(gca, 'Xscale', 'log'); set(gca, 'Yscale', 'lin');
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ylabel('Coherence'); xlabel('Frequency [Hz]');
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hold off;
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xlim([10, 5e3]);
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#+end_src
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#+begin_src matlab :tangle no :exports results :results file replace
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exportFig('figs/apa95ml_5kg_10V_coh.pdf', 'width', 'wide', 'height', 'normal');
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#+end_src
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#+name: fig:apa95ml_5kg_10V_coh
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#+caption: Coherence
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#+RESULTS:
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[[file:figs/apa95ml_5kg_10V_coh.png]]
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#+begin_src matlab :exports none
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figure;
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ax1 = subplot(2, 1, 1);
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hold on;
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plot(f, abs(tf_est), 'k-')
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set(gca, 'Xscale', 'log'); set(gca, 'Yscale', 'log');
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ylabel('Amplitude'); xlabel('Frequency [Hz]');
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hold off;
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ax2 = subplot(2, 1, 2);
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hold on;
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plot(f, 180/pi*angle(tf_est), 'k-')
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set(gca, 'Xscale', 'log'); set(gca, 'Yscale', 'lin');
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ylabel('Phase'); xlabel('Frequency [Hz]');
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hold off;
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linkaxes([ax1,ax2], 'x');
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xlim([10, 5e3]);
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#+end_src
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#+begin_src matlab :tangle no :exports results :results file replace
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exportFig('figs/apa95ml_5kg_10V_tf.pdf', 'width', 'full', 'height', 'full');
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#+end_src
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#+name: fig:apa95ml_5kg_10V_tf
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#+caption: Estimation of the transfer function from input voltage to displacement
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#+RESULTS:
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[[file:figs/apa95ml_5kg_10V_tf.png]]
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** Comparison with the FEM model
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#+begin_src matlab
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load('fem_model_5kg.mat', 'Ghm');
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#+end_src
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#+begin_src matlab :exports none
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figure;
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ax1 = subplot(2, 1, 1);
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hold on;
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plot(f, abs(tf_est), 'DisplayName', 'Identification')
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plot(f, abs(squeeze(freqresp(Ghm, f, 'Hz'))), 'DisplayName', 'FEM')
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set(gca, 'Xscale', 'log'); set(gca, 'Yscale', 'log');
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ylabel('Amplitude'); xlabel('Frequency [Hz]');
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legend('location', 'northeast')
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hold off;
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ax2 = subplot(2, 1, 2);
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hold on;
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plot(f, 180/pi*angle(tf_est))
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plot(f, 180/pi*angle(squeeze(freqresp(Ghm, f, 'Hz'))))
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set(gca, 'Xscale', 'log'); set(gca, 'Yscale', 'lin');
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ylabel('Phase'); xlabel('Frequency [Hz]');
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hold off;
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linkaxes([ax1,ax2], 'x');
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xlim([10, 5e3]);
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#+end_src
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#+begin_src matlab :tangle no :exports results :results file replace
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exportFig('figs/apa95ml_5kg_comp_fem.pdf', 'width', 'full', 'height', 'full');
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#+end_src
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#+name: fig:apa95ml_5kg_comp_fem
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#+caption: Comparison of the identified transfer function and the one estimated from the FE model
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#+RESULTS:
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[[file:figs/apa95ml_5kg_comp_fem.png]]
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** Conclusion :ignore:
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#+begin_important
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The problem comes from the fact that the piezo is driven directly by the DAC that cannot deliver enought current.
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In the next section, a current amplifier is used.
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#+end_important
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* Transfer Function Estimation using the PI Amplifier
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* Transfer Function Estimation using the PI Amplifier
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** Matlab Init :noexport:ignore:
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** Matlab Init :noexport:ignore:
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#+begin_src matlab :tangle no :exports none :results silent :noweb yes :var current_dir=(file-name-directory buffer-file-name)
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#+begin_src matlab :tangle no :exports none :results silent :noweb yes :var current_dir=(file-name-directory buffer-file-name)
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