From 59e56fae29216bb3244333da12e4db770096a850 Mon Sep 17 00:00:00 2001 From: Thomas Dehaeze Date: Mon, 21 Sep 2020 10:47:34 +0200 Subject: [PATCH] Rework Stewart Platform => Working correctly --- index.org | 179 ++++++++++++++++++- jacobian.mat | Bin 0 -> 1010 bytes stewart_platform/drone_platform.slx | Bin 52376 -> 51036 bytes stewart_platform/drone_platform_jacobian.slx | Bin 0 -> 70818 bytes 4 files changed, 176 insertions(+), 3 deletions(-) create mode 100644 jacobian.mat create mode 100644 stewart_platform/drone_platform_jacobian.slx diff --git a/index.org b/index.org index d0e88ce..ad8c6ac 100644 --- a/index.org +++ b/index.org @@ -41,7 +41,7 @@ #+PROPERTY: header-args:latex+ :output-dir figs :END: -* Simscape Model +* Simscape Model - Gravimeter ** Matlab Init :noexport:ignore: #+begin_src matlab :tangle no :exports none :results silent :noweb yes :var current_dir=(file-name-directory buffer-file-name) <> @@ -74,13 +74,13 @@ #+end_src #+begin_src matlab - freqs = logspace(-1, 2, 1000); + freqs = logspace(-2, 2, 1000); figure; for in_i = 1:3 for out_i = 1:4 subplot(4, 3, 3*(out_i-1)+in_i); - plot(freqs, abs(squeeze(freqresp(G(out_i,in_i)/s^2, freqs, 'Hz'))), '-'); + plot(freqs, abs(squeeze(freqresp(G(out_i,in_i), freqs, 'Hz'))), '-'); set(gca, 'XScale', 'log'); set(gca, 'YScale', 'log'); end end @@ -368,3 +368,176 @@ zdelta = PHI(:,10,10); rot = PHI(:,11,11); #+end_src + +* Simscape Model - Stewart Platform +** Matlab Init :noexport:ignore: +#+begin_src matlab :tangle no :exports none :results silent :noweb yes :var current_dir=(file-name-directory buffer-file-name) + <> +#+end_src + +#+begin_src matlab :exports none :results silent :noweb yes + <> +#+end_src + +** Jacobian +#+begin_src matlab + open('stewart_platform/drone_platform_jacobian.slx'); +#+end_src + +#+begin_src matlab + sim('drone_platform_jacobian'); +#+end_src + +#+begin_src matlab + Aa = [a1.Data(1,:); + a2.Data(1,:); + a3.Data(1,:); + a4.Data(1,:); + a5.Data(1,:); + a6.Data(1,:)]'; + + Ab = [b1.Data(1,:); + b2.Data(1,:); + b3.Data(1,:); + b4.Data(1,:); + b5.Data(1,:); + b6.Data(1,:)]'; + + As = (Ab - Aa)./vecnorm(Ab - Aa); + + l = vecnorm(Ab - Aa)'; + + J = [As' , cross(Ab, As)']; + + save('./jacobian.mat', 'Aa', 'Ab', 'As', 'l', 'J'); +#+end_src + +** Simulink +#+begin_src matlab + open('stewart_platform/drone_platform.slx'); +#+end_src + +#+begin_src matlab + kx = 50; + ky = 50; + kz = 50; + + cx = 0.025; + cy = 0.025; + cz = 0.025; +#+end_src + +#+begin_src matlab + load('./jacobian.mat', 'Aa', 'Ab', 'As', 'l', 'J'); +#+end_src + +#+begin_src matlab + %% Name of the Simulink File + mdl = 'drone_platform'; + + %% Input/Output definition + clear io; io_i = 1; + io(io_i) = linio([mdl, '/u'], 1, 'openinput'); io_i = io_i + 1; + io(io_i) = linio([mdl, '/Inertial Sensor'], 1, 'openoutput'); io_i = io_i + 1; + + G = linearize(mdl, io); + G.InputName = {'F1', 'F2', 'F3', 'F4', 'F5', 'F6'}; + G.OutputName = {'Ax', 'Ay', 'Az', 'Arx', 'Ary', 'Arz'}; + + Gx = -G*inv(J'); + Gx.InputName = {'Fx', 'Fy', 'Fz', 'Mx', 'My', 'Mz'}; + + Gl = -J*G; + Gl.OutputName = {'A1', 'A2', 'A3', 'A4', 'A5', 'A6'}; +#+end_src + +#+begin_src matlab :exports none + freqs = logspace(-1, 2, 1000); + + figure; + + ax1 = subplot(2, 1, 1); + hold on; + plot(freqs, abs(squeeze(freqresp(Gx(1, 1), freqs, 'Hz'))), 'DisplayName', '$A_x/F_x$'); + plot(freqs, abs(squeeze(freqresp(Gx(2, 2), freqs, 'Hz'))), 'DisplayName', '$A_y/F_y$'); + plot(freqs, abs(squeeze(freqresp(Gx(3, 3), freqs, 'Hz'))), 'DisplayName', '$A_z/F_z$'); + hold off; + set(gca, 'XScale', 'log'); set(gca, 'YScale', 'log'); + ylabel('Amplitude [m/N]'); set(gca, 'XTickLabel',[]); + legend('location', 'southeast'); + + ax2 = subplot(2, 1, 2); + hold on; + for i = 1:3 + plot(freqs, 180/pi*unwrap(angle(squeeze(freqresp(Gx(i, i), freqs, 'Hz'))))); + end + hold off; + set(gca, 'XScale', 'log'); set(gca, 'YScale', 'lin'); + ylabel('Phase [deg]'); xlabel('Frequency [Hz]'); + ylim([-270, 90]); + yticks([-360:90:360]); + + linkaxes([ax1,ax2],'x'); +#+end_src + +#+begin_src matlab :exports none + freqs = logspace(-1, 2, 1000); + + figure; + + ax1 = subplot(2, 1, 1); + hold on; + plot(freqs, abs(squeeze(freqresp(Gx(4, 4), freqs, 'Hz'))), 'DisplayName', '$A_{R_x}/M_x$'); + plot(freqs, abs(squeeze(freqresp(Gx(5, 5), freqs, 'Hz'))), 'DisplayName', '$A_{R_y}/M_y$'); + plot(freqs, abs(squeeze(freqresp(Gx(6, 6), freqs, 'Hz'))), 'DisplayName', '$A_{R_z}/M_z$'); + hold off; + set(gca, 'XScale', 'log'); set(gca, 'YScale', 'log'); + ylabel('Amplitude [rad/(Nm)]'); set(gca, 'XTickLabel',[]); + legend('location', 'southeast'); + + ax2 = subplot(2, 1, 2); + hold on; + for i = 4:6 + plot(freqs, 180/pi*unwrap(angle(squeeze(freqresp(Gx(i, i), freqs, 'Hz'))))); + end + hold off; + set(gca, 'XScale', 'log'); set(gca, 'YScale', 'lin'); + ylabel('Phase [deg]'); xlabel('Frequency [Hz]'); + ylim([-270, 90]); + yticks([-360:90:360]); + + linkaxes([ax1,ax2],'x'); +#+end_src + +#+begin_src matlab :exports none + freqs = logspace(-1, 2, 1000); + + figure; + + ax1 = subplot(2, 1, 1); + hold on; + for i = 1:6 + plot(freqs, abs(squeeze(freqresp(Gl(i, i), freqs, 'Hz')))); + end + for i = 1:5 + for j = i+1:6 + plot(freqs, abs(squeeze(freqresp(Gl(i, j), freqs, 'Hz'))), 'color', [0, 0, 0, 0.2]); + end + end + hold off; + set(gca, 'XScale', 'log'); set(gca, 'YScale', 'log'); + ylabel('Amplitude [m/N]'); set(gca, 'XTickLabel',[]); + + ax2 = subplot(2, 1, 2); + hold on; + for i = 1:6 + plot(freqs, 180/pi*unwrap(angle(squeeze(freqresp(Gl(i, i), freqs, 'Hz'))))); + end + hold off; + set(gca, 'XScale', 'log'); set(gca, 'YScale', 'lin'); + ylabel('Phase [deg]'); xlabel('Frequency [Hz]'); + ylim([-270, 90]); + yticks([-360:90:360]); + + linkaxes([ax1,ax2],'x'); +#+end_src diff --git a/jacobian.mat b/jacobian.mat new file mode 100644 index 0000000000000000000000000000000000000000..5a58f4e24276f08b6184522638c0e0b00cbe0a3a GIT binary patch literal 1010 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