matlab wip
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@@ -1,10 +1,36 @@
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function [mot1,mot2]=identifyFxFyStage()
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%sample idfrd
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%f = logspace(-1,1,100);
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%[mag,phase] = bode(idtf([1 .2],[1 2 1 1]),f);
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%response = mag.*exp(1j*phase*pi/180);
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%m = idfrd(response,f,0.08);
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%loads recorded data of the current step and bode diagrams of the stages then plots the bode diagrams and identifies
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%the current step transfer function
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%
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%finally it builds a ss-Model of the stage with:
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%
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% u +-----------+ y
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%iqCmd------->|1 1|-------> iqMeas
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% | 2|-------> iqVolts
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% | 3|-------> actPos
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% +-----------+
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%
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% the returned motor objects mot1 and mot2 contains:
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%
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% w,mag,phase : (gathered data with Python)
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% meas : a MATLAB idfrd model with data w,mag,phase
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% mdl : a structure with the python numerators and denominators for the transfer functions
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% tfc,tf_mdl : various transfer functions
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% ss : the final continous state space model of the plant
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%
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% The used data files (generated from Python) are:
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% (located for now in: /home/zamofing_t/Documents/prj/SwissFEL/epics_ioc_modules/ESB_MX/python/MXTuning/18_10_02/ )
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% - curr_step[1|2].mat
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% - full_bode_mot[1|2].mat
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% - model[1|2].mat
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%References:
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%create ss from tf MIMO:
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%https://ch.mathworks.com/matlabcentral/answers/37152-how-to-convert-tf2ss-for-mimo-system
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%http://ch.mathworks.com/help/control/ug/conversion-between-model-types.html#f3-1039600
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%https://ch.mathworks.com/help/control/ref/append.html
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function obj=loadData(path,motid)
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obj=struct();
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@@ -12,7 +38,7 @@ function [mot1,mot2]=identifyFxFyStage()
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obj.currstep=f;
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%prepend sone zeros to stable system identification
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obj.currstep=iddata([zeros(10,1); obj.currstep.data(:,2)],[zeros(10,1); obj.currstep.data(:,3)],50E-6);
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f=load(strcat(path,sprintf('full_bode_mot%d.mat',motid)));
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obj.w=f.frq*2*pi; %convert from Hz to rad/s
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if motid==2
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@@ -25,7 +51,7 @@ function [mot1,mot2]=identifyFxFyStage()
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fMdl=load(strcat(path,sprintf('model%d.mat',motid)));
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obj.mdl=fMdl;
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end
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function tfc=currstep(obj)
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@@ -33,9 +59,6 @@ function [mot1,mot2]=identifyFxFyStage()
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opt.Display='off';
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tfc = tfest(obj.currstep, 2, 0,opt);
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s=str2ndOrd(tfc);
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%disp(s);
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%h = stepplot(tf1);
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%l=obj.currstep.OutputData
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t=(0:199)*50E-6;
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[y,t]=step(tfc,t);
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f=figure();
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@@ -57,7 +80,7 @@ function [mot1,mot2]=identifyFxFyStage()
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k=num(1)/den(3);
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w0=sqrt(den(3));
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damp=den(2)/2/w0;
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s=sprintf('k:%g w0:%g damp:%g\n',k,w0,damp);
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s=sprintf('k:%g w0:%g damp:%g',k,w0,damp);
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end
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@@ -70,7 +93,7 @@ function [mot1,mot2]=identifyFxFyStage()
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opt.initializeMethod='iv';
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opt.WeightingFilter=[1,5;30,670]*(2*pi); % Hz->rad/s conversion
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figure();
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figure();
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mot.tf2_0 = tfest(mot.meas, 2, 0, opt);disp(str2ndOrd(mot.tf2_0));
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mot.tf_mdl=idtf(mot.mdl.num,mot.mdl.den);
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%ss([g1 mot.tf_mdl],'minimal') this doesn't work as expected
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@@ -81,9 +104,9 @@ function [mot1,mot2]=identifyFxFyStage()
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den1=myNorm(mot.mdl.den1);
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num2=myNorm(mot.mdl.num2);
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den2=myNorm(mot.mdl.den2);
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g1=tf(numc,denc); % iqCmd->iqMeas
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g1=tf(numc,denc); % iqCmd->iqMeas
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s1=ss(g1);
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s1.C=[s1.C; 1/s1.B(1) 0]; % add output iqVolts: iqVolts= i_meas*R+i_meas'*L
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s1.C=[s1.C; 1E5* 2.4E-3 1E-3*s1.C(2)*8.8]; % add output iqVolts: iqVolts= i_meas*R+i_meas'*L 2.4mH 8.8Ohm (took random scaling values)
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%tf(s1) % display all transfer functions
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num=conv(num1,num2);%num=1;
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den=conv(den1,den2);%den=[1 0 0];
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@@ -92,26 +115,20 @@ function [mot1,mot2]=identifyFxFyStage()
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s3=append(s1,s2);
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s3.A(3,2)=s3.C(1,2)*s3.B(3,2);
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mot.ss=ss(s3.A,s3.B(:,1),s3.C,0); % single input, remove input iqMeas
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mot.ss.InputName{1}='iqCmd';
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mot.ss.OutputName{1}='iqMeas';
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mot.ss.OutputName{2}='iqVolts';
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mot.ss.OutputName{3}='actPos';
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% u +-----------+ y
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%iqCmd------->|1 1|-------> iqMeas
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% | 2|-------> iqVolts
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% | 3|-------> actPos
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% +-----------+
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mot.ss.OutputName{3}='actPos';
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%h=bodeplot(mot.meas,'r',mot.tf4_2,'b',mot.tf6_4,'g');
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%h=bodeplot(mot.meas,'r',mot.tf2_0,'b',mot.tf_mdl,'g',mot.w);
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tmp=tf(mot.ss);h=bodeplot(mot.meas,'r',tmp(3,1),'g',mot.w);
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setoptions(h,'FreqUnits','Hz','Grid','on');
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end
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function y=myNorm(y)
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%normalizes num and den by factor 1000
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%y.*10.^(3*(length(y):-1:1))
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%y.*10.^(3*(length(y):-1:1))
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end
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function mot=fxStage()
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@@ -128,10 +145,6 @@ function [mot1,mot2]=identifyFxFyStage()
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mot.tf13_9 = tfest(mot.meas, 13, 9, opt);
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mot.tf_mdl=idtf(mot.mdl.num,mot.mdl.den);
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%create ss from tf MIMO:
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%https://ch.mathworks.com/matlabcentral/answers/37152-how-to-convert-tf2ss-for-mimo-system
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%http://ch.mathworks.com/help/control/ug/conversion-between-model-types.html#f3-1039600
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%https://ch.mathworks.com/help/control/ref/append.html
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numc=myNorm(mot.mdl.numc);
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denc=myNorm(mot.mdl.denc);
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num1=myNorm(mot.mdl.num1);
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@@ -146,12 +159,15 @@ function [mot1,mot2]=identifyFxFyStage()
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den5=myNorm(mot.mdl.den5);
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num=myNorm(mot.mdl.num);
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den=myNorm(mot.mdl.den);
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g1=tf(numc,denc); % iqCmd->iqMeas
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g1=tf(numc,denc); % iqCmd->iqMeas
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s1=ss(g1);
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s1.C=[s1.C; 1/s1.B(1) 0]; % add output iqVolts: iqVolts= i_meas*R+i_meas'*L
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s1.C=[s1.C; 1E5* 2.4E-3 1E-3*s1.C(2)*8.8]; % add output iqVolts: iqVolts= i_meas*R+i_meas'*L 2.4mH 8.8Ohm (took random scaling values)
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%tf(s1) % display all transfer functions
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num=conv(conv(conv(conv(num1,num2),num3),num4),num5);%num=1;
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den=conv(conv(conv(conv(den1,den2),den3),den4),den5);%den=[1 0 0];
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num=conv(num1,num2);%num=1;
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den=conv(den1,den2);%den=[1 0 0];
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g2=tf(num,den); %iqMeas->ActPos
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s2=ss(g2);
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s3=append(s1,s2);
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@@ -162,11 +178,11 @@ function [mot1,mot2]=identifyFxFyStage()
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s3.A(3,2)=s3.C(1,2)*s3.B(3,2);
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mot.ss=ss(s3.A,s3.B(:,1),s3.C,0); % single input, remove input iqMeas
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mot.ss.InputName{1}='iqCmd';
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mot.ss.OutputName{1}='iqMeas';
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mot.ss.OutputName{2}='iqVolts';
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mot.ss.OutputName{3}='actPos' ;
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mot.ss.OutputName{3}='actPos' ;
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% u +-----------+ y
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%iqCmd------->|1 1|-------> iqMeas
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% | 2|-------> iqVolts
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