From 971a520edd77ff2993a3afffc05c838ac60accfe Mon Sep 17 00:00:00 2001 From: Thomas Dehaeze Date: Wed, 13 Jun 2018 09:37:20 +0200 Subject: [PATCH] [WIP] Add src folder, change damping of system --- .../Assemblage_DataFile.m.type.File.xml | 6 -- ...-44a8-8d10-25d7657da4e0.type.Reference.xml | 2 + ...-4256-bd9d-7bbb44c7ca82.type.Reference.xml | 2 + ...-42c0-ab3b-d872f82e48d2.type.Reference.xml | 2 + Assemblage.slx | Bin 147412 -> 145554 bytes Control/control_y.m | 37 ++------- Identification/identification_control.m | 36 +++----- Identification/identification_stages_run.m | 77 ++++++++++-------- Rotation_matrix_angles.m | 3 - init_data.m | 20 ++--- init_inputs.m | 28 ++++--- init_sim_configuration.m | 2 +- mat/G_f_to_d.mat | Bin 33232 -> 22965 bytes mat/controller.mat | Bin 1109 -> 1073 bytes mat/inputs_setpoint.mat | Bin 1891511 -> 3475993 bytes src/preprocessIdTf.m | 5 ++ stewart-simscape | 2 +- 17 files changed, 102 insertions(+), 120 deletions(-) delete mode 100644 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+++ b/Control/control_y.m @@ -1,55 +1,34 @@ -%% Define options for bode plots -bode_opts = bodeoptions; - -bode_opts.Title.FontSize = 12; -bode_opts.XLabel.FontSize = 12; -bode_opts.YLabel.FontSize = 12; -bode_opts.FreqUnits = 'Hz'; -bode_opts.MagUnits = 'abs'; -bode_opts.MagScale = 'log'; -bode_opts.PhaseWrapping = 'on'; -bode_opts.PhaseVisible = 'on'; %% -load('../mat/G_f_to_d.mat', 'G_f_to_d'); +load('./mat/G_f_to_d.mat', 'G_f_to_d'); %% G = G_f_to_d(2, 2); -%% Some post processing of the plant -[G, ~] = freqsep(G, 2*pi*1000); -[~, G] = freqsep(G, 2*pi*1); - -%% Verify the post processing -figure; -bode(G, G_f_to_d(2, 2)); - %% Try sisotool sisotool(G) %% -gain = 1e8; +gain = 1e9; %% -figure; -bode(gain*G, bode_opts) +bodeFig({gain*G}, struct('phase', true)) %% [~,~,~,Wpm] = margin(gain*G); -% Wpm = 180*2*pi; +Wpm = 200*2*pi; %% s = tf('s'); -Ky = gain*(s/(0.2*Wpm)+1)/(s/(10*Wpm)+1)/(1+s/(2*pi*100));%*(s+2*pi*10)/(s+2*pi*0.0001); +C = gain*(s/(0.2*Wpm)+1)/(s/(10*Wpm)+1)/(1+s/(2*pi*100));%*(s+2*pi*10)/(s+2*pi*0.0001); %% Compute Closed loop transfer function -figure; -bode(Ky*G, bode_opts) +bodeFig({C*G}, struct('phase', true)) %% K = tf(zeros(6)); -K(2,2) = Ky; +K(2,2) = C; %% -save('../mat/controller.mat', 'K') +save('./mat/controller.mat', 'K') diff --git a/Identification/identification_control.m b/Identification/identification_control.m index e040445..2776753 100644 --- a/Identification/identification_control.m +++ b/Identification/identification_control.m @@ -1,25 +1,11 @@ %% Script Description % %% -clear; -close all; -clc - -%% Define options for bode plots -bode_opts = bodeoptions; - -bode_opts.Title.FontSize = 12; -bode_opts.XLabel.FontSize = 12; -bode_opts.YLabel.FontSize = 12; -bode_opts.FreqUnits = 'Hz'; -bode_opts.MagUnits = 'abs'; -bode_opts.MagScale = 'log'; -bode_opts.PhaseWrapping = 'on'; -bode_opts.PhaseVisible = 'on'; +clear; close all; clc; %% Options for preprocessing the identified transfer functions f_low = 10; -f_high = 1000; +f_high = 10000; %% Options for Linearized options = linearizeOptions; @@ -28,21 +14,23 @@ options.SampleTime = 0; %% Name of the Simulink File mdl = 'Assemblage'; -%% Y-Translation Stage +%% NASS % Input/Output definition -io(1) = linio([mdl, '/Fnass_cart'],1,'input'); -io(2) = linio([mdl, '/Sample'],1,'output'); +io(1) = linio([mdl, '/Micro-Station/Fn'],1,'input'); +io(2) = linio([mdl, '/Micro-Station/Nano_Hexapod'],1,'output'); % Run the linearization G_f_to_d = linearize(mdl,io, 0); +G_f_to_d = preprocessIdTf(G_f_to_d, 10, 10000); + % Input/Output names -G_f_to_d.InputName = {'Fy'}; -G_f_to_d.OutputName = {'Dy'}; +G_f_to_d.InputName = {'Fx', 'Fy', 'Fz', 'Mx', 'My', 'Mz'}; +G_f_to_d.OutputName = {'Dx', 'Dy', 'Dz', 'Rx', 'Ry', 'Rz'}; % Bode Plot of the linearized function -figure; -bode(G_f_to_d(2, 2), bode_opts) +bodeFig({G_f_to_d(1, 1), G_f_to_d(2, 2), G_f_to_d(3, 3)}, struct('phase', true)) +legend({'$F_{n_x} \rightarrow D_{x}$', '$F_{n_y} \rightarrow D_{y}$', '$F_{n_z} \rightarrow D_{z}$'}) %% -save('../mat/G_f_to_d.mat', 'G_f_to_d'); +save('./mat/G_f_to_d.mat', 'G_f_to_d'); diff --git a/Identification/identification_stages_run.m b/Identification/identification_stages_run.m index 7c8b33a..c048e19 100644 --- a/Identification/identification_stages_run.m +++ b/Identification/identification_stages_run.m @@ -3,25 +3,11 @@ % Save all computed transfer functions into one .mat file %% -clear; -close all; -clc - -%% Define options for bode plots -bode_opts = bodeoptions; - -bode_opts.Title.FontSize = 12; -bode_opts.XLabel.FontSize = 12; -bode_opts.YLabel.FontSize = 12; -bode_opts.FreqUnits = 'Hz'; -bode_opts.MagUnits = 'abs'; -bode_opts.MagScale = 'log'; -bode_opts.PhaseWrapping = 'on'; -bode_opts.PhaseVisible = 'off'; +clear; close all; clc; %% Options for preprocessing the identified transfer functions -f_low = 10; -f_high = 1000; +f_low = 10; % [Hz] +f_high = 10000; % [Hz] %% Options for Linearized options = linearizeOptions; @@ -33,7 +19,7 @@ mdl = 'Assemblage'; %% Y-Translation Stage % Input/Output definition io(1) = linio([mdl, '/Fy'],1,'input'); -io(2) = linio([mdl, '/Translation y'],1,'output'); +io(2) = linio([mdl, '/Dy_meas'],1,'output'); % Run the linearization G_ty_raw = linearize(mdl,io, 0); @@ -46,13 +32,14 @@ G_ty.InputName = {'Fy'}; G_ty.OutputName = {'Dy'}; % Bode Plot of the linearized function -figure; -bode(G_ty, bode_opts) +bodeFig({G_ty}, struct('phase', true)) +legend({'$F_{y} \rightarrow D_{y}$'}) +exportFig('id_ty', 'normal-normal') %% Tilt Stage % Input/Output definition io(1) = linio([mdl, '/My'],1,'input'); -io(2) = linio([mdl, '/Tilt'],1,'output'); +io(2) = linio([mdl, '/Ry_meas'],1,'output'); % Run the linearization G_ry_raw = linearize(mdl,io, 0); @@ -65,14 +52,14 @@ G_ry.InputName = {'My'}; G_ry.OutputName = {'Ry'}; % Bode Plot of the linearized function -figure; -bode(G_ry, bode_opts) - +bodeFig({G_ry}, struct('phase', true)) +legend({'$M_{y} \rightarrow R_{y}$'}) +exportFig('id_ry', 'normal-normal') %% Spindle % Input/Output definition io(1) = linio([mdl, '/Mz'],1,'input'); -io(2) = linio([mdl, '/Spindle'],1,'output'); +io(2) = linio([mdl, '/Rz_meas'],1,'output'); % Run the linearization G_rz_raw = linearize(mdl,io, 0); @@ -85,14 +72,14 @@ G_rz.InputName = {'Mz'}; G_rz.OutputName = {'Rz'}; % Bode Plot of the linearized function -figure; -bode(G_rz, bode_opts) - +bodeFig({G_rz}, struct('phase', true)) +legend({'$M_{z} \rightarrow R_{z}$'}) +exportFig('id_ry', 'normal-normal') %% Hexapod Symetrie % Input/Output definition io(1) = linio([mdl, '/Fhexa_cart'],1,'input'); -io(2) = linio([mdl, '/Hexapod Symetrie'],1,'output'); +io(2) = linio([mdl, '/Dm_meas'],1,'output'); % Run the linearization G_hexa_raw = linearize(mdl,io, 0); @@ -102,19 +89,28 @@ G_hexa = preprocessIdTf(G_hexa_raw, f_low, f_high); % Input/Output names G_hexa.InputName = {'Fhexa_x', 'Fhexa_y', 'Fhexa_z', 'Mhexa_x', 'Mhexa_y', 'Mhexa_z'}; -G_hexa.OutputName = {'Dhexa_x', 'Dhexa_y', 'Dhexa_z', 'Dhexa_x', 'Dhexa_y', 'Dhexa_z'}; +G_hexa.OutputName = {'Dhexa_x', 'Dhexa_y', 'Dhexa_z', 'Rhexa_x', 'Rhexa_y', 'Rhexa_z'}; % Bode Plot of the linearized function -figure; -bode(G_hexa, bode_opts) +bodeFig({G_hexa(1, 1), G_hexa(2, 2), G_hexa(3, 3)}, struct('phase', true)) +legend({'$F_{h_x} \rightarrow D_{h_x}$', '$F_{h_y} \rightarrow D_{h_y}$', '$F_{h_z} \rightarrow D_{h_z}$'}) +exportFig('id_hexapod_trans', 'normal-normal') + +bodeFig({G_hexa(4, 4), G_hexa(5, 5), G_hexa(6, 6)}, struct('phase', true)) +legend({'$M_{h_x} \rightarrow R_{h_x}$', '$M_{h_y} \rightarrow R_{h_y}$', '$M_{h_z} \rightarrow R_{h_z}$'}) +exportFig('id_hexapod_rot', 'normal-normal') + +bodeFig({G_hexa(1, 1), G_hexa(2, 1), G_hexa(3, 1)}, struct('phase', true)) +legend({'$F_{h_x} \rightarrow D_{h_x}$', '$F_{h_x} \rightarrow D_{h_y}$', '$F_{h_x} \rightarrow D_{h_z}$'}) +exportFig('id_hexapod_coupling', 'normal-normal') %% NASS % Input/Output definition io(1) = linio([mdl, '/Fnass_cart'],1,'input'); -io(2) = linio([mdl, '/NASS'],1,'output'); +io(2) = linio([mdl, '/Dn_meas'],1,'output'); % Run the linearization -G_nass_raw = linearize(mdl,io, 0); +c = linearize(mdl,io, 0); % Post-process the linearized function G_nass = preprocessIdTf(G_nass_raw, f_low, f_high); @@ -124,8 +120,17 @@ G_nass.InputName = {'Fnass_x', 'Fnass_y', 'Fnass_z', 'Mnass_x', 'Mnass_y', 'Mna G_nass.OutputName = {'Dnass_x', 'Dnass_y', 'Dnass_z', 'Dnass_x', 'Dnass_y', 'Dnass_z'}; % Bode Plot of the linearized function -figure; -bode(G_nass, bode_opts) +bodeFig({G_nass(1, 1), G_nass(2, 2), G_nass(3, 3)}, struct('phase', true)) +legend({'$F_{n_x} \rightarrow D_{n_x}$', '$F_{n_y} \rightarrow D_{n_y}$', '$F_{n_z} \rightarrow D_{n_z}$'}) +exportFig('id_nass_trans', 'normal-normal') + +bodeFig({G_nass(4, 4), G_nass(5, 5), G_nass(6, 6)}, struct('phase', true)) +legend({'$M_{n_x} \rightarrow R_{n_x}$', '$M_{n_y} \rightarrow R_{n_y}$', '$M_{n_z} \rightarrow R_{n_z}$'}) +exportFig('id_nass_rot', 'normal-normal') + +bodeFig({G_nass(1, 1), G_nass(2, 1), G_nass(3, 1)}, struct('phase', true)) +legend({'$F_{n_x} \rightarrow D_{n_x}$', '$F_{n_x} \rightarrow D_{n_y}$', '$F_{n_x} \rightarrow D_{n_z}$'}) +exportFig('id_nass_coupling', 'normal-normal') %% Save all transfer function save('../mat/identified_tf.mat', 'G_ty', 'G_ry', 'G_rz', 'G_hexa', 'G_nass') diff --git a/Rotation_matrix_angles.m b/Rotation_matrix_angles.m deleted file mode 100644 index 518669a..0000000 --- a/Rotation_matrix_angles.m +++ /dev/null @@ -1,3 +0,0 @@ -thetax=atan2(-R(2,3),R(3,3)); -thetay=atan2(R(1,3),sqrt((R(1,1))^2+(R(1,2))^2)); -thetaz=atan2(-R(1,2),R(1,1)); diff --git a/init_data.m b/init_data.m index 8ec00dc..084e9e9 100644 --- a/init_data.m +++ b/init_data.m @@ -11,7 +11,7 @@ granite = struct(); granite.m = smiData.Solid(5).mass; granite.k.ax = 1e8; % x-y-z Stiffness of the granite [N/m] -granite.ksi.ax = 10; +granite.ksi.ax = 1; granite = updateDamping(granite); @@ -23,8 +23,8 @@ ty.m = smiData.Solid(4).mass+smiData.Solid(6).mass+smiData.Solid(7).mass+smiData ty.k.ax = 1e7/4; % Axial Stiffness for each of the 4 guidance (y) [N/m] ty.k.rad = 9e9/4; % Radial Stiffness for each of the 4 guidance (x-z) [N/m] -ty.ksi.ax = 10; -ty.ksi.rad = 10; +ty.ksi.ax = 0.05; +ty.ksi.rad = 1; ty = updateDamping(ty); @@ -38,14 +38,13 @@ ry.k.rad = 555e6/4; % Stiffness in the top direction [N/m] ry.k.rrad = 238e6/4; % Stiffness in the side direction [N/m] ry.k.tilt = 1e4 ; % Rotation stiffness around y [N*m/deg] -ry.ksi.h = 10; -ry.ksi.rad = 10; -ry.ksi.rrad = 10; -ry.ksi.tilt = 10; +ry.ksi.h = 1; +ry.ksi.rad = 1; +ry.ksi.rrad = 1; +ry.ksi.tilt = 1; ry = updateDamping(ry); - %% Spindle rz = struct(); @@ -56,8 +55,8 @@ rz.k.rad = 7e8; % Radial Stiffness [N/m] rz.k.tilt = 1e5; % TODO rz.k.rot = 1e5; % Rotational Stiffness [N*m/deg] -rz.ksi.ax = 10; -rz.ksi.rad = 10; +rz.ksi.ax = 1; +rz.ksi.rad = 1; rz.ksi.tilt = 1; rz.ksi.rot = 1; @@ -96,5 +95,6 @@ function element = updateDamping(element) field = fieldnames(element.k); for i = 1:length(field) element.c.(field{i}) = 1/element.ksi.(field{i})*sqrt(element.k.(field{i})/element.m); +% element.c.(field{i}) = element.k.(field{i})/1000; end end diff --git a/init_inputs.m b/init_inputs.m index a91636e..30e248e 100644 --- a/init_inputs.m +++ b/init_inputs.m @@ -8,7 +8,7 @@ time_vector = 0:Ts:Tsim; %% Set point [m, rad] setpoint = zeros(length(time_vector), 6); -% setpoint(ceil(1/Ts):end, 2) = 1e-6; +% setpoint(ceil(10/Ts):end, 2) = 1e-6; % Step of 1 micro-meter in y direction r_setpoint = timeseries(setpoint, time_vector); @@ -30,30 +30,38 @@ r_Gm = timeseries(xg, time_vector); % plot(r_Gm) %% Translation stage [m] -r_Ty = timeseries(zeros(length(time_vector), 1), time_vector); +ty = zeros(length(time_vector), 1); + +r_Ty = timeseries(ty, time_vector); %% Tilt Stage [rad] -% r_tilt = zeros(length(time_vector), 1); +r_tilt = zeros(length(time_vector), 1); -r_tilt = 3*2*pi/360*sin(2*pi*0.5*time_vector); +% r_tilt = 3*(2*pi/360)*sin(2*pi*0.2*time_vector); r_My = timeseries(r_tilt, time_vector); %% Spindle [rad] -% r_spindle = zeros(length(time_vector), 1); +r_spindle = zeros(length(time_vector), 1); -r_spindle = 2*pi*time_vector; +% r_spindle = 2*pi*0.5*time_vector; r_Mz = timeseries(r_spindle, time_vector); %% Micro Hexapod -r_u_hexa = timeseries(zeros(length(time_vector), 6), time_vector); +u_hexa = zeros(length(time_vector), 6); + +r_u_hexa = timeseries(u_hexa, time_vector); %% Center of gravity compensation -r_mass = timeseries(zeros(length(time_vector), 2), time_vector); +mass = zeros(length(time_vector), 2); + +r_mass = timeseries(mass, time_vector); %% Nano Hexapod -r_n_hexa = timeseries(zeros(length(time_vector), 6), time_vector); +n_hexa = zeros(length(time_vector), 6); + +r_n_hexa = timeseries(n_hexa, time_vector); %% -save('./mat/inputs_setpoint.mat', 'r_setpoint', 'r_Gm', 'r_Ty', 'r_My', 'r_u_hexa', 'r_mass', 'r_n_hexa'); \ No newline at end of file +save('./mat/inputs_setpoint.mat', 'r_setpoint', 'r_Gm', 'r_Ty', 'r_My', 'r_Mz', 'r_u_hexa', 'r_mass', 'r_n_hexa'); \ No newline at end of file diff --git a/init_sim_configuration.m b/init_sim_configuration.m index f7ed2ad..1e68c7f 100644 --- a/init_sim_configuration.m +++ b/init_sim_configuration.m @@ -1,6 +1,6 @@ %% Solver Configuration Ts = 1e-4; % Sampling time [s] -Tsim = 5; % Simulation time [s] +Tsim = 10; % Simulation time [s] %% Gravity g = 0 ; % Gravity along the z axis [m/s^2] diff --git a/mat/G_f_to_d.mat b/mat/G_f_to_d.mat index e37ac056844a6937b7740294179c7f2670ce0b17..48f4209a3e8f2a702caaec4b5a4d6d53b03da2b6 100644 GIT binary patch literal 22965 zcma&NQ?D=#4=lQD+qP}nw(V!xwr$(CZQHhOuk(KU>>scvY0|4+G@VJ)Ol1XCWCVo> zSm_uDWCc}d%`9z9X$TZ-44uvF9RG06mFmiA)GjTC;5->3^auEDKVjbZB0#H&G{=Zb=zi`h!GBz-<05D=BI0Y~g1cNXL ze%v`)I+T7qQpUj4!0^ub3Btro$B2x=#CZ32#FO}RFZk3b@MbH=j8N z{vJQK$-pd(U(GM6z$k1icaAI-v(Q0EGopf=6vp1Rk{u{itsVt!vk=+xZ*K9~`@sMG z4zEaX%`}s9bh_=i>;1a*dHcBwLI|`9CJ8PP>5d0B8hs@os&i$41vDm(13~@wg}|u( 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