Remove useless simscape models
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@ -426,7 +426,7 @@ We change the simulation stop time.
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And we simulate the system.
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And we simulate the system.
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#+begin_src matlab
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#+begin_src matlab
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sim('sim_nass_active_damping');
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sim('nass_model');
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#+end_src
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#+end_src
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Finally, we save the simulation results for further analysis
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Finally, we save the simulation results for further analysis
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@ -565,7 +565,7 @@ We initialize all the stages with the default parameters.
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%% Input/Output definition
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%% Input/Output definition
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clear io; io_i = 1;
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clear io; io_i = 1;
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io(io_i) = linio([mdl, '/Fnl'], 1, 'openinput'); io_i = io_i + 1;
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io(io_i) = linio([mdl, '/Controller'], 1, 'openinput'); io_i = io_i + 1; % Actuator Inputs
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io(io_i) = linio([mdl, '/Micro-Station'], 3, 'openoutput', [], 'Dnlm'); io_i = io_i + 1;
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io(io_i) = linio([mdl, '/Micro-Station'], 3, 'openoutput', [], 'Dnlm'); io_i = io_i + 1;
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io(io_i) = linio([mdl, '/Micro-Station'], 3, 'openoutput', [], 'Fnlm'); io_i = io_i + 1;
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io(io_i) = linio([mdl, '/Micro-Station'], 3, 'openoutput', [], 'Fnlm'); io_i = io_i + 1;
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io(io_i) = linio([mdl, '/Micro-Station'], 3, 'openoutput', [], 'Vlm'); io_i = io_i + 1;
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io(io_i) = linio([mdl, '/Micro-Station'], 3, 'openoutput', [], 'Vlm'); io_i = io_i + 1;
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@ -745,7 +745,7 @@ We initialize all the stages with the default parameters.
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%% Input/Output definition
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%% Input/Output definition
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clear io; io_i = 1;
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clear io; io_i = 1;
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io(io_i) = linio([mdl, '/Fnl'], 1, 'openinput'); io_i = io_i + 1;
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io(io_i) = linio([mdl, '/Controller'], 1, 'openinput'); io_i = io_i + 1; % Actuator Inputs
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io(io_i) = linio([mdl, '/Micro-Station'], 3, 'openoutput', [], 'Dnlm'); io_i = io_i + 1;
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io(io_i) = linio([mdl, '/Micro-Station'], 3, 'openoutput', [], 'Dnlm'); io_i = io_i + 1;
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io(io_i) = linio([mdl, '/Micro-Station'], 3, 'openoutput', [], 'Fnlm'); io_i = io_i + 1;
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io(io_i) = linio([mdl, '/Micro-Station'], 3, 'openoutput', [], 'Fnlm'); io_i = io_i + 1;
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io(io_i) = linio([mdl, '/Micro-Station'], 3, 'openoutput', [], 'Vlm'); io_i = io_i + 1;
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io(io_i) = linio([mdl, '/Micro-Station'], 3, 'openoutput', [], 'Vlm'); io_i = io_i + 1;
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@ -924,7 +924,7 @@ We initialize all the stages with the default parameters.
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%% Input/Output definition
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%% Input/Output definition
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clear io; io_i = 1;
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clear io; io_i = 1;
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io(io_i) = linio([mdl, '/Fnl'], 1, 'openinput'); io_i = io_i + 1;
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io(io_i) = linio([mdl, '/Controller'], 1, 'openinput'); io_i = io_i + 1; % Actuator Inputs
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io(io_i) = linio([mdl, '/Micro-Station'], 3, 'openoutput', [], 'Dnlm'); io_i = io_i + 1;
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io(io_i) = linio([mdl, '/Micro-Station'], 3, 'openoutput', [], 'Dnlm'); io_i = io_i + 1;
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io(io_i) = linio([mdl, '/Micro-Station'], 3, 'openoutput', [], 'Fnlm'); io_i = io_i + 1;
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io(io_i) = linio([mdl, '/Micro-Station'], 3, 'openoutput', [], 'Fnlm'); io_i = io_i + 1;
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io(io_i) = linio([mdl, '/Micro-Station'], 3, 'openoutput', [], 'Vlm'); io_i = io_i + 1;
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io(io_i) = linio([mdl, '/Micro-Station'], 3, 'openoutput', [], 'Vlm'); io_i = io_i + 1;
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@ -1256,7 +1256,7 @@ We initialize all the stages with the default parameters.
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%% Input/Output definition
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%% Input/Output definition
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clear io; io_i = 1;
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clear io; io_i = 1;
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io(io_i) = linio([mdl, '/Fnl'], 1, 'openinput'); io_i = io_i + 1;
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io(io_i) = linio([mdl, '/Controller'], 1, 'openinput'); io_i = io_i + 1; % Actuator Inputs
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io(io_i) = linio([mdl, '/Micro-Station'], 3, 'openoutput', [], 'Dnlm'); io_i = io_i + 1;
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io(io_i) = linio([mdl, '/Micro-Station'], 3, 'openoutput', [], 'Dnlm'); io_i = io_i + 1;
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io(io_i) = linio([mdl, '/Micro-Station'], 3, 'openoutput', [], 'Fnlm'); io_i = io_i + 1;
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io(io_i) = linio([mdl, '/Micro-Station'], 3, 'openoutput', [], 'Fnlm'); io_i = io_i + 1;
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io(io_i) = linio([mdl, '/Micro-Station'], 3, 'openoutput', [], 'Vlm'); io_i = io_i + 1;
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io(io_i) = linio([mdl, '/Micro-Station'], 3, 'openoutput', [], 'Vlm'); io_i = io_i + 1;
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@ -1444,7 +1444,7 @@ We initialize all the stages with the default parameters.
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%% Input/Output definition
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%% Input/Output definition
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clear io; io_i = 1;
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clear io; io_i = 1;
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io(io_i) = linio([mdl, '/Fnl'], 1, 'openinput'); io_i = io_i + 1;
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io(io_i) = linio([mdl, '/Controller'], 1, 'openinput'); io_i = io_i + 1; % Actuator Inputs
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io(io_i) = linio([mdl, '/Micro-Station'], 3, 'openoutput', [], 'Dnlm'); io_i = io_i + 1;
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io(io_i) = linio([mdl, '/Micro-Station'], 3, 'openoutput', [], 'Dnlm'); io_i = io_i + 1;
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io(io_i) = linio([mdl, '/Micro-Station'], 3, 'openoutput', [], 'Fnlm'); io_i = io_i + 1;
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io(io_i) = linio([mdl, '/Micro-Station'], 3, 'openoutput', [], 'Fnlm'); io_i = io_i + 1;
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io(io_i) = linio([mdl, '/Micro-Station'], 3, 'openoutput', [], 'Vlm'); io_i = io_i + 1;
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io(io_i) = linio([mdl, '/Micro-Station'], 3, 'openoutput', [], 'Vlm'); io_i = io_i + 1;
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@ -1846,8 +1846,8 @@ We identify the dynamics of the system using the =linearize= function.
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%% Input/Output definition
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%% Input/Output definition
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clear io; io_i = 1;
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clear io; io_i = 1;
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io(io_i) = linio([mdl, '/Fnl'], 1, 'openinput'); io_i = io_i + 1;
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io(io_i) = linio([mdl, '/Controller'], 1, 'openinput'); io_i = io_i + 1; % Actuator Inputs
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io(io_i) = linio([mdl, '/Compute Error in NASS base'], 2, 'openoutput'); io_i = io_i + 1;
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io(io_i) = linio([mdl, '/Tracking Error'], 1, 'output', [], 'En'); io_i = io_i + 1;
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#+end_src
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#+end_src
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We identify the dynamics for the following sample mass.
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We identify the dynamics for the following sample mass.
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@ -2034,7 +2034,7 @@ We change the simulation stop time.
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And we simulate the system.
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And we simulate the system.
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#+begin_src matlab
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#+begin_src matlab
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sim('sim_nass_active_damping');
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sim('nass_model');
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#+end_src
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#+end_src
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Finally, we save the simulation results for further analysis
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Finally, we save the simulation results for further analysis
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@ -2326,8 +2326,8 @@ We identify the dynamics of the system using the =linearize= function.
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%% Input/Output definition
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%% Input/Output definition
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clear io; io_i = 1;
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clear io; io_i = 1;
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io(io_i) = linio([mdl, '/Fnl'], 1, 'openinput'); io_i = io_i + 1;
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io(io_i) = linio([mdl, '/Controller'], 1, 'openinput'); io_i = io_i + 1; % Actuator Inputs
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io(io_i) = linio([mdl, '/Compute Error in NASS base'], 2, 'openoutput'); io_i = io_i + 1;
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io(io_i) = linio([mdl, '/Tracking Error'], 1, 'output', [], 'En'); io_i = io_i + 1;
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#+end_src
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#+end_src
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We identify the dynamics for the following sample mass.
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We identify the dynamics for the following sample mass.
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@ -2514,7 +2514,7 @@ We change the simulation stop time.
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And we simulate the system.
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And we simulate the system.
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#+begin_src matlab
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#+begin_src matlab
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sim('sim_nass_active_damping');
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sim('nass_model');
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#+end_src
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#+end_src
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Finally, we save the simulation results for further analysis
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Finally, we save the simulation results for further analysis
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@ -2801,8 +2801,8 @@ We identify the dynamics of the system using the =linearize= function.
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%% Input/Output definition
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%% Input/Output definition
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clear io; io_i = 1;
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clear io; io_i = 1;
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io(io_i) = linio([mdl, '/Fnl'], 1, 'openinput'); io_i = io_i + 1;
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io(io_i) = linio([mdl, '/Controller'], 1, 'openinput'); io_i = io_i + 1; % Actuator Inputs
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io(io_i) = linio([mdl, '/Compute Error in NASS base'], 2, 'openoutput'); io_i = io_i + 1;
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io(io_i) = linio([mdl, '/Tracking Error'], 1, 'output', [], 'En'); io_i = io_i + 1;
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#+end_src
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#+end_src
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We identify the dynamics for the following sample mass.
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We identify the dynamics for the following sample mass.
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@ -3545,7 +3545,7 @@ We log the signals.
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io(io_i) = linio([mdl, '/Disturbances'], 1, 'openinput', [], 'Dwx'); io_i = io_i + 1;
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io(io_i) = linio([mdl, '/Disturbances'], 1, 'openinput', [], 'Dwx'); io_i = io_i + 1;
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io(io_i) = linio([mdl, '/Disturbances'], 1, 'openinput', [], 'Dwy'); io_i = io_i + 1;
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io(io_i) = linio([mdl, '/Disturbances'], 1, 'openinput', [], 'Dwy'); io_i = io_i + 1;
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io(io_i) = linio([mdl, '/Disturbances'], 1, 'openinput', [], 'Dwz'); io_i = io_i + 1;
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io(io_i) = linio([mdl, '/Disturbances'], 1, 'openinput', [], 'Dwz'); io_i = io_i + 1;
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io(io_i) = linio([mdl, '/Compute Error in NASS base'], 2, 'openoutput'); io_i = io_i + 1;
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io(io_i) = linio([mdl, '/Tracking Error'], 1, 'output', [], 'En'); io_i = io_i + 1;
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%% Run the linearization
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%% Run the linearization
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G = linearize(mdl, io, options);
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G = linearize(mdl, io, options);
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@ -3564,8 +3564,8 @@ We log the signals.
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%% Input/Output definition
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%% Input/Output definition
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clear io; io_i = 1;
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clear io; io_i = 1;
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io(io_i) = linio([mdl, '/Fnl'], 1, 'openinput'); io_i = io_i + 1;
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io(io_i) = linio([mdl, '/Controller'], 1, 'openinput'); io_i = io_i + 1; % Actuator Inputs
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io(io_i) = linio([mdl, '/Compute Error in NASS base'], 2, 'openoutput'); io_i = io_i + 1;
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io(io_i) = linio([mdl, '/Tracking Error'], 1, 'output', [], 'En'); io_i = io_i + 1;
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%% Run the linearization
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%% Run the linearization
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G = linearize(mdl, io, options);
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G = linearize(mdl, io, options);
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@ -3637,57 +3637,6 @@ We log the signals.
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linkaxes([ax1,ax2],'x');
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linkaxes([ax1,ax2],'x');
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#+end_src
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#+end_src
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*** TODO test
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#+begin_src matlab
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%% Options for Linearized
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options = linearizeOptions;
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options.SampleTime = 0;
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%% Name of the Simulink File
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mdl = 'nass_model';
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%% Input/Output definition
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clear io; io_i = 1;
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io(io_i) = linio([mdl, '/Micro-Station/Dy'], 1, 'openinput'); io_i = io_i + 1;
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io(io_i) = linio([mdl, '/Compute Error in NASS base'], 2, 'openoutput'); io_i = io_i + 1;
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%% Run the linearization
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G = linearize(mdl, io, options);
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G.InputName = {'Dy'};
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G.OutputName = {'Edx', 'Edy', 'Edz', 'Erx', 'Ery', 'Erz'};
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#+end_src
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#+begin_important
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Why is the transfer function from Ty displacement to position error is equal to
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1 at all frequencies?
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Why don't we see any resonance?
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#+end_important
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#+begin_src matlab :exports none
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freqs = logspace(0, 3, 1000);
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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(freqs, abs(squeeze(freqresp(G('Edy', 'Dy(1)'), freqs, 'Hz'))), 'DisplayName', '$T_{x}$');
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hold off;
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set(gca, 'XScale', 'log'); set(gca, 'YScale', 'log');
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ylabel('Amplitude [m/N]'); set(gca, 'XTickLabel',[]);
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legend('location', 'southwest')
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ax2 = subplot(2, 1, 2);
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hold on;
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plot(freqs, 180/pi*angle(squeeze(freqresp(G('Edy', 'Dy(1)'), freqs, 'Hz'))));
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hold off;
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set(gca, 'XScale', 'log'); set(gca, 'YScale', 'lin');
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ylabel('Phase [deg]'); xlabel('Frequency [Hz]');
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ylim([-180, 180]);
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yticks([-180, -90, 0, 90, 180]);
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linkaxes([ax1,ax2],'x');
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#+end_src
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*** Sensitivity to disturbances
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*** Sensitivity to disturbances
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The sensitivity to disturbances are shown on figure [[fig:sensitivity_dist_undamped]].
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The sensitivity to disturbances are shown on figure [[fig:sensitivity_dist_undamped]].
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@ -1 +0,0 @@
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../figs
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@ -1,346 +0,0 @@
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<?xml version="1.0" encoding="utf-8"?>
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<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Strict//EN"
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"http://www.w3.org/TR/xhtml1/DTD/xhtml1-strict.dtd">
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<html xmlns="http://www.w3.org/1999/xhtml" lang="en" xml:lang="en">
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<head>
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<!-- 2019-12-11 mer. 17:33 -->
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<meta name="viewport" content="width=device-width, initial-scale=1" />
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<title>Metrology</title>
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<meta name="generator" content="Org mode" />
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<meta name="author" content="Dehaeze Thomas" />
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</head>
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<body>
|
|
||||||
<div id="org-div-home-and-up">
|
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||||||
<a accesskey="h" href="../index.html"> UP </a>
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||||||
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||||||
<a accesskey="H" href="../index.html"> HOME </a>
|
|
||||||
</div><div id="content">
|
|
||||||
<h1 class="title">Metrology</h1>
|
|
||||||
<div id="table-of-contents">
|
|
||||||
<h2>Table of Contents</h2>
|
|
||||||
<div id="text-table-of-contents">
|
|
||||||
<ul>
|
|
||||||
<li><a href="#orgdf449a5">1. How do we measure the position of the sample with respect to the granite</a></li>
|
|
||||||
</ul>
|
|
||||||
</div>
|
|
||||||
</div>
|
|
||||||
|
|
||||||
<p>
|
|
||||||
The global measurement and control schematic is shown in figure <a href="#org1be8cfd">1</a>.
|
|
||||||
</p>
|
|
||||||
|
|
||||||
|
|
||||||
<div id="org1be8cfd" class="figure">
|
|
||||||
<p><img src="figs/control-schematic-nass.png" alt="control-schematic-nass.png" />
|
|
||||||
</p>
|
|
||||||
<p><span class="figure-number">Figure 1: </span>Global Control Schematic for the Station</p>
|
|
||||||
</div>
|
|
||||||
|
|
||||||
<p>
|
|
||||||
In this document, are interesting by the "compute Sample Position w.r.t. Granite" bloc.
|
|
||||||
</p>
|
|
||||||
|
|
||||||
<p>
|
|
||||||
First, in section <a href="#org09b824d">1</a>, is explained how the measurement of the position of the sample with respect to the granite is performed (using Simscape blocs).
|
|
||||||
</p>
|
|
||||||
|
|
||||||
<div id="outline-container-orgdf449a5" class="outline-2">
|
|
||||||
<h2 id="orgdf449a5"><span class="section-number-2">1</span> How do we measure the position of the sample with respect to the granite</h2>
|
|
||||||
<div class="outline-text-2" id="text-1">
|
|
||||||
<p>
|
|
||||||
<a id="org09b824d"></a>
|
|
||||||
A transform sensor block gives the translation and orientation of the follower frame with respect to the base frame.
|
|
||||||
</p>
|
|
||||||
|
|
||||||
<p>
|
|
||||||
The base frame is fixed to the granite and located at the initial sample location that defines the zero position.
|
|
||||||
</p>
|
|
||||||
|
|
||||||
<p>
|
|
||||||
The follower frame is attached to the sample (or more precisely to the reflector).
|
|
||||||
</p>
|
|
||||||
|
|
||||||
<p>
|
|
||||||
The outputs of the transform sensor are:
|
|
||||||
</p>
|
|
||||||
<ul class="org-ul">
|
|
||||||
<li>the 3 translations x, y and z in meter</li>
|
|
||||||
<li>the <b>rotation matrix</b> \(\bm{R}\) that permits to rotate the base frame into the follower frame.</li>
|
|
||||||
</ul>
|
|
||||||
|
|
||||||
<p>
|
|
||||||
We can then determine extract other orientation conventions such that Euler angles or screw axis.
|
|
||||||
</p>
|
|
||||||
</div>
|
|
||||||
</div>
|
|
||||||
</div>
|
|
||||||
<div id="postamble" class="status">
|
|
||||||
<p class="author">Author: Dehaeze Thomas</p>
|
|
||||||
<p class="date">Created: 2019-12-11 mer. 17:33</p>
|
|
||||||
<p class="validation"><a href="http://validator.w3.org/check?uri=referer">Validate</a></p>
|
|
||||||
</div>
|
|
||||||
</body>
|
|
||||||
</html>
|
|
@ -1,67 +0,0 @@
|
|||||||
#+TITLE: Metrology
|
|
||||||
:DRAWER:
|
|
||||||
#+STARTUP: overview
|
|
||||||
|
|
||||||
#+LANGUAGE: en
|
|
||||||
#+EMAIL: dehaeze.thomas@gmail.com
|
|
||||||
#+AUTHOR: Dehaeze Thomas
|
|
||||||
|
|
||||||
#+HTML_LINK_HOME: ../index.html
|
|
||||||
#+HTML_LINK_UP: ../index.html
|
|
||||||
|
|
||||||
#+HTML_HEAD: <link rel="stylesheet" type="text/css" href="../css/htmlize.css"/>
|
|
||||||
#+HTML_HEAD: <link rel="stylesheet" type="text/css" href="../css/readtheorg.css"/>
|
|
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#+HTML_HEAD: <script type="text/javascript" src="../js/jquery.min.js"></script>
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|
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#+HTML_HEAD: <script type="text/javascript" src="../js/bootstrap.min.js"></script>
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|
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#+HTML_HEAD: <script type="text/javascript" src="../js/jquery.stickytableheaders.min.js"></script>
|
|
||||||
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|
|
||||||
|
|
||||||
#+HTML_MATHJAX: align: center tagside: right font: TeX
|
|
||||||
|
|
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|
|
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|
|
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|
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|
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|
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|
|
||||||
:END:
|
|
||||||
|
|
||||||
* Introduction :ignore:
|
|
||||||
The global measurement and control schematic is shown in figure [[fig:control-schematic-nass]].
|
|
||||||
|
|
||||||
#+name: fig:control-schematic-nass
|
|
||||||
#+caption: Global Control Schematic for the Station
|
|
||||||
[[file:figs/control-schematic-nass.png]]
|
|
||||||
|
|
||||||
In this document, are interesting by the "compute Sample Position w.r.t. Granite" bloc.
|
|
||||||
|
|
||||||
First, in section [[sec:measurement_principle]], is explained how the measurement of the position of the sample with respect to the granite is performed (using Simscape blocs).
|
|
||||||
|
|
||||||
* How do we measure the position of the sample with respect to the granite
|
|
||||||
<<sec:measurement_principle>>
|
|
||||||
A transform sensor block gives the translation and orientation of the follower frame with respect to the base frame.
|
|
||||||
|
|
||||||
The base frame is fixed to the granite and located at the initial sample location that defines the zero position.
|
|
||||||
|
|
||||||
The follower frame is attached to the sample (or more precisely to the reflector).
|
|
||||||
|
|
||||||
The outputs of the transform sensor are:
|
|
||||||
- the 3 translations x, y and z in meter
|
|
||||||
- the *rotation matrix* $\bm{R}$ that permits to rotate the base frame into the follower frame.
|
|
||||||
|
|
||||||
We can then determine extract other orientation conventions such that Euler angles or screw axis.
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