From 0a5ec9b0044d95218c599848ddf6a42559e397d1 Mon Sep 17 00:00:00 2001 From: Thierry Zamofing Date: Mon, 19 Nov 2018 15:54:16 +0100 Subject: [PATCH] wip --- Makefile | 2 +- matlab/Readme.md | 35 +- matlab/StateSpaceControlDesign.m | 290 +- matlab/documentFunctions.m | 39 + matlab/identifyFxFyStage.m | 238 +- matlab/observer.slx | Bin 26312 -> 35172 bytes matlab/stage_closed_loop.slx | Bin 36244 -> 36018 bytes matlab/testObserver.m | 4 +- python/MXTuning.py | 47 +- python/MXTuningDoc/curr_step.eps | 2535 ++++ python/MXTuningDoc/curr_step.png | Bin 0 -> 34246 bytes .../MXTuningDoc/current_step_of_motor_1.png | Bin 0 -> 24775 bytes python/MXTuningDoc/fastStageTune.odt | Bin 379725 -> 653794 bytes python/MXTuningDoc/m1_sim_pb.eps | 11870 ++++++++++++++++ python/MXTuningDoc/m1_sim_ss.eps | 10011 +++++++++++++ python/MXTuningDoc/m1_sim_ss_pref.eps | 10017 +++++++++++++ python/MXTuningDoc/m2_mdl_bode.eps | 11242 +++++++++++++++ python/MXTuningDoc/m2_sim_pb.eps | 9860 +++++++++++++ python/MXTuningDoc/m2_sim_ss.eps | 10299 ++++++++++++++ python/MXTuningDoc/m2_sim_ss_pref.eps | 10157 +++++++++++++ python/MXTuningDoc/observer.png | Bin 0 -> 29194 bytes python/swissmx.svg | 97 + 22 files changed, 76507 insertions(+), 236 deletions(-) create mode 100644 matlab/documentFunctions.m create mode 100644 python/MXTuningDoc/curr_step.eps create mode 100644 python/MXTuningDoc/curr_step.png create mode 100644 python/MXTuningDoc/current_step_of_motor_1.png create mode 100644 python/MXTuningDoc/m1_sim_pb.eps create mode 100644 python/MXTuningDoc/m1_sim_ss.eps create mode 100644 python/MXTuningDoc/m1_sim_ss_pref.eps create mode 100644 python/MXTuningDoc/m2_mdl_bode.eps create mode 100644 python/MXTuningDoc/m2_sim_pb.eps create mode 100644 python/MXTuningDoc/m2_sim_ss.eps create mode 100644 python/MXTuningDoc/m2_sim_ss_pref.eps create mode 100644 python/MXTuningDoc/observer.png create mode 100644 python/swissmx.svg diff --git a/Makefile b/Makefile index 95f7951..935f6da 100644 --- a/Makefile +++ b/Makefile @@ -4,7 +4,7 @@ BUILDCLASSES = Linux ARCH_FILTER = eldk42% SL6-x86_64 EXCLUDE_VERSIONS = 3.14.8 #SCRIPTS+=$(wildcard add_EXPMX*.cmd cfg/*.cfg cfg/*.py cfg/*.pbi python/*.py) -SCRIPTS+=$(wildcard add_EXPMX*.cmd cfg/*.cfg cfg/*.pbi) +SCRIPTS+=$(wildcard add_EXPMX*.cmd cfg/*.cfg cfg/*.py cfg/*.pbi) #SOURCES+=src/DHVSaSub.cpp #DBDS+=src/DHVSaSub.dbd USR_CXXFLAGS+= -fno-operator-names diff --git a/matlab/Readme.md b/matlab/Readme.md index de41318..42745fd 100644 --- a/matlab/Readme.md +++ b/matlab/Readme.md @@ -26,35 +26,16 @@ clear; clear global; close all; [mot1,mot2]=identifyFxFyStage(); -[pb]=simFxFyStage(mot1); -[ssc]=StateSpaceControlDesign(mot1); -[pb]=simFxFyStage(mot2); -[ssc]=StateSpaceControlDesign(mot2); - -Very good trajectory-filter motor2: -f=268;w0=f*2*pi; -num1=[1 20 w0^2]; -den1=[1 500 w0^2]; -bode(numV,denV) +[pb]=simFxFyStage(mot1);sim('stage_closed_loop'); +close all;[ssc]=StateSpaceControlDesign(mot1);sim('observer'); +[pb]=simFxFyStage(mot2);sim('stage_closed_loop'); +close all;[ssc]=StateSpaceControlDesign(mot2);sim('observer'); -f=140;w0=f*2*pi; -num2=[1 300 w0^2]; -den2=[1 100 w0^2]; -bode(numV,denV) - - -f=62;w0=f*2*pi; -num3=[1 40 w0^2]; -den3=[1 20 w0^2]; -bode(numV,denV) - - -numV=conv(num1,num2) -denV=conv(den1,den2) -%numV=conv(conv(num1,num2),num3) -%denV=conv(conv(den1,den2),den3) - +mögliche tf: +iqCmd---->iqMeas +iqVolts-->iqMeas +iqMeas--->actPos ``` diff --git a/matlab/StateSpaceControlDesign.m b/matlab/StateSpaceControlDesign.m index 28b73cd..b967bfd 100644 --- a/matlab/StateSpaceControlDesign.m +++ b/matlab/StateSpaceControlDesign.m @@ -1,11 +1,10 @@ function [ssc]=StateSpaceControlDesign(mot) - % !!! first it need to run: [mot1,mot2]=identifyFxFyStage() tobuild a motor object !!! + % !!! first it need to run: [mot1,mot2]=identifyFxFyStage() to build a motor object !!! % % builds a state space controller designed for the plant. % shows step answers of open and closed loop, also for the observer controller and the final discrete observer % - % finally it opens a simulink observer file for testing - + % the matchich simulink model is: 'observer' %References: %http://ctms.engin.umich.edu/CTMS/index.php?example=Introduction§ion=ControlStateSpace @@ -16,31 +15,89 @@ function [ssc]=StateSpaceControlDesign(mot) % % https://www.youtube.com/watch?v=Lax3etc837U - ssPlt=mot.ssPlt;%ssPlt; %real plant (model of real plant) + %mPlt: mode to select plant + %0 real plant (model of real plant) + %1 current, mechanic, no resonance + %2 no current current, mechanic, no resonance + %3 no current current, mechanic, first resonance + + + + %mMdl: mode to select model for observer + %0 real plant (NOT RECOMANDED, because not observab,econtrolable) + %1 current, mechanic, no resonance + %2 no current current, mechanic, no resonance + %3 no current current, mechanic, first resonance + + %mPrefilt:prefilter mode + %0 no filter + %1 inverse resonance filter + %2 manual setup filter + + + %mShow: mode(bits) to plot/simulate + % 0: 1: bode plots of open loop + % 1: 2: step answer on open loop + % 2: 4: step answer on closed loop with space state controller + % 3: 8: step answer on closed loop with observer controller + % 4:16: step answer on closed loop with disctrete observer controller + % 5:32: plot all closed loop bode and pole-zero diagrams of desPos->actPos + % 6:64: + + + %use_lqr: use lqr instead of pole placement + + mPlt=0; + mMdl=1; + mPrefilt=2; + mShow=32+64; + use_lqr=0; + + switch mPlt + case 0 + ssPlt=mot.ssPlt;%real plant (model of real plant) + case 1 + ssPlt=mot.ssMdl_c1;%current, mechanic, no resonance + case 2 + ssPlt=mot.ssMdl_1;%no current current, mechanic, no resonance + case 3 + ssPlt=mot.ssMdl_12;%no current current, mechanic, first resonance + end ssPlt.Name='open loop plant'; - ssMdl=mot.ssMdl;%ssMdl; %simplified model (observable,controlable) for observer - ssMdl.Name='open loop model'; + + switch mMdl + case 0 + ssMdl=mot.ssPlt;%real plant (model of real plant) + case 1 + ssMdl=mot.ssMdl_c1;%current, mechanic, no resonance + case 2 + ssMdl=mot.ssMdl_1;%no current current, mechanic, no resonance + case 3 + ssMdl=mot.ssMdl_12;%no current current, mechanic, first resonance + end + ssMdl.Name='open loop model'; %model for observer + [Ap,Bp,Cp,Dp]=ssdata(ssPlt); [Am,Bm,Cm,Dm]=ssdata(ssMdl); - - %sys=ss(sys.A,sys.B,sys.C(3,:),0); % this would reduce the outputs to position only + if bitand(mShow,1) + figure();h=bodeplot(ssPlt,ssMdl); + setoptions(h,'IOGrouping','all') + end - figure();h=bodeplot(ssPlt,ssMdl); - setoptions(h,'IOGrouping','all') - - % step answer on open loop: - t = 0:1E-4:.5; - u = ones(size(t)); xp0 = zeros(1,length(Ap)); xm0 = zeros(1,length(Am)); - [yp,t,x] = lsim(ssPlt,u,t,xp0); - [ym,t,x] = lsim(ssMdl,u,t,xm0); - figure();plot(t,yp,t,ym,'--');title('step on open loop (plant and model)'); - legend('plt.iqMeas','plt.iqVolts','plt.actPos','mdl.iqMeas','mdl.iqVolts','mdl.actPos') - + if bitand(mShow,2) + % step answer on open loop: + t = 0:1E-4:.5; + u = ones(size(t)); + [yp,t,x] = lsim(ssPlt,u,t,xp0); + [ym,t,x] = lsim(ssMdl,u,t,xm0); + figure();plot(t,yp,t,ym,'--');title('step on open loop (plant and model)'); + legend('plt.iqMeas','plt.iqVolts','plt.actPos','mdl.iqMeas','mdl.iqVolts','mdl.actPos') + end poles = eig(Am); %w0=abs(poles); %ang=angle(-poles); @@ -50,7 +107,6 @@ function [ssc]=StateSpaceControlDesign(mot) % *** space state controller *** % %place poles for the controller feedback - use_lqr=0; if use_lqr %use the lqr controller Q=eye(length(ssMdl.A)); R=1; @@ -59,42 +115,41 @@ function [ssc]=StateSpaceControlDesign(mot) if mot.id==1 %2500rad/s = 397Hz -> locate poles here %6300rad/s = 1027Hz -> locate poles here - if length(poles)==4 - p1=-6300+280i; - p2=-6200+150i; - P=[p1 p1' p2 p2']; - P=[-4100 -4000 -1500+10j -1500-10j]; - else - p1=-3300+2800i; - p2=-2700+500i; - p3=-2500+10i; - %p1=-3300+2800i; - %p2=-1500+500i; - %p3=-1200+10i; - P=[p1 p1' p2 p2' p3 p3']; + switch mMdl + case 0 + p1=-3300+2800i; p2=-2700+500i; p3=-2500+10i; + P=[p1 p1' p2 p2' p3 p3']; + case 1 + %p1=-6300+280i; p2=-6200+150i; + %P=[p1 p1' p2 p2']; + P=[-4100 -4000 -1500+10j -1500-10j]; + case 2 + %p1=-6300+280i; p2=-6200+150i; + %P=[p1 p1' p2 p2']; + P=[-1500+10j -1500-10j]; + case 3 + %p1=-6300+280i; p2=-6200+150i; + %P=[p1 p1' p2 p2']; + P=[-1500+10j -1500-10j -1400 -1300]; end else %2500rad/s = 397Hz -> locate poles here %6300rad/s = 1027Hz -> locate poles here - if length(poles)==4 - p1=-6300+2800i; - p2=-6200+1500i; - P=[p1 p1' p2 p2']; - P=[-2500 -2800 -1500+10j -1500-10j]; - else - p1=-3300+2800i; - p2=-1900+130i; - p3=-2900+80i; - p4=-2300+450i; - p5=-2000+20i; - p6=-1500+10i; - %p1=-3300+2800i; - %p2=-1500+500i; - %p3=-1200+10i; - P=[p1 p1' p2 p2' p3 p3'];% p4 p4' p5 p5' p6 p6']; + switch mMdl + case 0 + p1=-3300+2800i; p2=-1900+130i; p3=-2900+80i; + p4=-2300+450i; p5=-2000+20i; p6=-1500+10i; + P=[p1 p1' p2 p2' p3 p3' p4 p4' p5 p5' p6 p6']; + case 1 + %p1=-6300+2800i; p2=-6200+1500i; + %P=[p1 p1' p2 p2']; + P=[-2500 -2800 -1500+10j -1500-10j]; + case 2 + %p1=-6300+2800i; p2=-6200+1500i; + %P=[p1 p1' p2 p2']; + P=[-2500 -2800 -1500+10j -1500-10j]; end end - %P=P*.1; % P was too aggressive K = place(Am,Bm,P); %K = acker(Am,Bm,Pm); end %if lqr @@ -104,19 +159,15 @@ function [ssc]=StateSpaceControlDesign(mot) if length(V)>1 V=V(3); % only the position scaling needed end - %prefilter to compensate non observable resonance frequencies - numV=mot.prefilt.Numerator{1}; - denV=mot.prefilt.Denominator{1}; - - - % step answer on closed loop with space state controller: - t = 0:1E-4:.5; - ss_cl = ss(Am-Bm*K,Bm*V,Cm,0,'Name','space state controller','InputName',mot.ssMdl.InputName,'OutputName',mot.ssMdl.OutputName); - [y,t,x]=lsim(ss_cl,V*u,t,xm0); - figure();plot(t,y);title('step on closed loop'); - - + ss_cl = ss(Am-Bm*K,Bm*V,Cm,0,'Name','space state controller','InputName',ssMdl.InputName,'OutputName',ssMdl.OutputName); + if bitand(mShow,4) + % step answer on closed loop with space state controller: + t = 0:1E-4:.5; + [y,t,x]=lsim(ss_cl,V*u,t,xm0); + figure();plot(t,y);title('step on closed loop'); + end + % *** observer controller *** % %observer poles-> 5 times farther left than system poles @@ -131,54 +182,83 @@ function [ssc]=StateSpaceControlDesign(mot) Ct = [ Cm zeros(size(Cm)) ]; Dt=0; - % step answer on closed loop with observer controller: - ss_t = ss(At,Bt,Ct,Dt,'Name','observer controller','InputName',{'desPos'},'OutputName',mot.ssMdl.OutputName); - figure();lsim(ss_t,ones(size(t)),t,[xm0 xm0]);title('step on closed loop with observer'); + ss_t = ss(At,Bt,Ct,Dt,'Name','observer controller','InputName',{'desPos'},'OutputName',ssMdl.OutputName); + if bitand(mShow,8) + % step answer on closed loop with observer controller: + figure();lsim(ss_t,ones(size(t)),t,[xm0 xm0]);title('step on closed loop with observer'); + end - % *** disctrete observer controller *** % Ts=1/5000; % 5kHz ss_tz = c2d(ss_t,Ts); [Atz,Btz,Ctz,Dtz]=ssdata(ss_tz ); ss_tz.Name='discrete obsvr ctrl'; - % step answer on closed loop with disctrete observer controller: - t = 0:Ts:.05; - figure();lsim(ss_tz ,ones(size(t)),t,[xm0 xm0]);title('step on closed loop with observer discrete'); - %plot all bode diagrams of desPos->actPos - figure(); - h=bodeplot(ss_cl(3),ss_t(3),ss_tz(3)); - setoptions(h,'FreqUnits','Hz','Grid','on');legend('location','sw'); + if bitand(mShow,16) + % step answer on closed loop with disctrete observer controller: + t = 0:Ts:.05; + figure();lsim(ss_tz ,ones(size(t)),t,[xm0 xm0]);title('step on closed loop with observer discrete'); + end - figure(); - h=pzplot(ss_cl(3),ss_t(3),ss_tz(3)); - setoptions(h,'FreqUnits','Hz','Grid','on');legend('location','sw'); + if bitand(mShow,32) + %plot all bode diagrams of desPos->actPos + figure(); + if mMdl==2 || mMdl==3 + idx=1; + else + idx=3; + end + h=bodeplot(ss_cl(idx),ss_t(idx),ss_tz(idx)); + setoptions(h,'FreqUnits','Hz','Grid','on');legend('location','sw'); + + figure(); + h=pzplot(ss_cl(idx),ss_t(idx)); + setoptions(h,'FreqUnits','Hz','Grid','on');legend('location','sw'); + figure(); + h=pzplot(ss_tz(idx)); + setoptions(h,'FreqUnits','Hz','Grid','on');legend('location','sw'); + end - %calculate matrices for the simulink system Ao=Am-L*Cm; Bo=[Bm L]; Co=K; Do=zeros(size(Co,1),size(Bo,2)); - - ss_o = ss(Ao,Bo,Co,Do,'Name','observer controller','InputName',{'desPos','iqMeas','iqVolts','actPos'},'OutputName',{'k*xt'}); + + if mMdl==2 || mMdl==3 + ss_o = ss(Ao,Bo,Co,Do,'Name','observer controller','InputName',{'desPos','actPos'},'OutputName',{'k*xt'}); + else + ss_o = ss(Ao,Bo,Co,Do,'Name','observer controller','InputName',{'desPos','iqMeas','iqVolts','actPos'},'OutputName',{'k*xt'}); + end %discrete plant ssPltz = c2d(ssPlt,Ts); [Apz,Bpz,Cpz,Dpz]=ssdata(ssPltz); - - %discrete observer controller + + %discrete observer controller ss_oz = c2d(ss_o,Ts); [Aoz,Boz,Coz,Doz]=ssdata(ss_oz); - mdlName='observer'; + %mdlName='observer'; %open(mdlName); - + + + %prefilter to compensate non observable resonance frequencies + prefilt=Prefilt(mot,mPrefilt); + + numV=prefilt.Numerator{1}; + denV=prefilt.Denominator{1}; + %discrete prefilter - prefiltz=c2d(mot.prefilt,Ts); + prefiltz=c2d(prefilt,Ts); numVz=prefiltz.Numerator{1}; denVz=prefiltz.Denominator{1}; - + + if bitand(mShow,64) + h=bodeplot(prefilt,prefiltz); + setoptions(h,'FreqUnits','Hz','Grid','on');legend('location','sw'); + end + %state space controller ssc=struct(); for k=["Ts","At","Bt","Ct","Dt","Atz","Btz","Ctz","Dtz","Ap","Bp","Cp","Dp","Am","Bm","Cm","Dm","Ao","Bo","Co","Do","Apz","Bpz","Cpz","Dpz","Aoz","Boz","Coz","Doz","V","K","L","ss_cl","ss_o","ss_oz","numV","denV","numVz","denVz"] @@ -187,6 +267,40 @@ function [ssc]=StateSpaceControlDesign(mot) save(sprintf('/tmp/ssc%d.mat',mot.id),'-struct','ssc'); end +function pf=Prefilt(mot,mode) + switch mode + case 0 %no filter + pf=tf(1,1); + case 1 %inverse resonance + if mot.id==1 + den=mot.mdl.num2;%num=1; + num=mot.mdl.den2;%den=[1 0 0]; + pf=tf(num,den); + else + den=conv(conv(conv(mot.mdl.num2,mot.mdl.num3),mot.mdl.num4),mot.mdl.num5);%num=1; + num=conv(conv(conv(mot.mdl.den2,mot.mdl.den3),mot.mdl.den4),mot.mdl.den5);%den=[1 0 0]; + pf=tf(num,den); + end + case 2 + if mot.id==1 + f=200;w0=f*2*pi; num1=[1 300 w0^2]; den1=[1 200 w0^2]; + numV=num1; + denV=den1; + pf=tf(numV,denV); + else + f=277;w0=f*2*pi; num1=[1 20 w0^2]; den1=[1 500 w0^2]; + f=138;w0=f*2*pi; num2=[1 300 w0^2]; den2=[1 100 w0^2]; + f=60;w0=f*2*pi; num3=[1 33 w0^2]; den3=[1 20 w0^2]; + numV=conv(num1,num2); + denV=conv(den1,den2); + numV=conv(conv(num1,num2),num3); + denV=conv(conv(den1,den2),den3) ; + pf=tf(numV,denV); + end + end + %controlSystemDesigner('bode',1,pf); % <<<<<<<<< This opens a transferfunction that can be edited +end + %code snipplets from an example on youtube (see reference at top) function SCRATCH() @@ -200,16 +314,16 @@ function SCRATCH() plot(pts(:,1),pts(:,2),'.');hold on; plot(rec(:,5),rec(:,6),'-');%despos plot(rec(:,2),rec(:,3),'-');%actPos - + %sig.time = [0 1 1 5 5 8 8 10]; %sig.signals.values = [0 0 2 2 2 3 3 3]'; %sig.signals.dimensions = 1; sig.time=0:2E-4:(length(rec)-1)*2E-4; sig.signals.values=rec(:,5); sig.signals.dimensions = 1; - + sum(desPos_actPos.Data(:,1)-desPos_actPos.Data(:,2)) - + A = [ 0 1 0 980 0 -2.8 0 0 -100 ]; diff --git a/matlab/documentFunctions.m b/matlab/documentFunctions.m new file mode 100644 index 0000000..67c92a5 --- /dev/null +++ b/matlab/documentFunctions.m @@ -0,0 +1,39 @@ + +baseDir='/home/zamofing_t/Documents/prj/SwissFEL/epics_ioc_modules/ESB_MX/python/MXTuningDoc/'; +%plots bode of desPos_actPos +[mot1,mot2]=identifyFxFyStage(); +close all; +[pb]=simFxFyStage(mot2);sim('stage_closed_loop'); +t=desPos_actPos.Time; +u=desPos_actPos.Data(:,1); +y=desPos_actPos.Data(:,2); +figure(1); +clf; +plot(t,u,'b');hold on; +plot(t,y,'color',[0 .5 0]); +grid on;ylim([-4 4]); +grid on;ylim([-2 2]); +saveas(gca, baseDir+"m2_sim_pb.eps",'epsc'); +saveas(gca, baseDir+"m1_sim_ss.eps",'epsc'); +saveas(gca, baseDir+"m2_sim_ss.eps",'epsc'); +saveas(gca, baseDir+"m1_sim_ss_pref.eps",'epsc'); +saveas(gca, baseDir+"m2_sim_ss_pref.eps",'epsc'); + + +saveas(gca, baseDir+"m2_mdl_bode.eps",'epsc'); + +minFrq=1;maxFrq=1000; +tSec=t(length(t)); +f=(1:length(t))/tSec; +fu=fft(u); +fy=fft(y); +ph=phase(fy./fu) +mag=abs(fy)./abs(fu); +magDb=20*log10(mag); +figure(2); +subplot(2,1,1); +semilogx(f,magDb); +subplot(2,1,2); +semilogx(f,ph); +grid on; + diff --git a/matlab/identifyFxFyStage.m b/matlab/identifyFxFyStage.m index bba9884..ddb72c1 100644 --- a/matlab/identifyFxFyStage.m +++ b/matlab/identifyFxFyStage.m @@ -19,6 +19,7 @@ function [mot1,mot2]=identifyFxFyStage() % tfc,tf_mdl : various transfer functions % ssPlt : the final continous state space model of the plant (not observable, not controlable) % ssMdl : the simplified continous state space model for the observer (observable, controlable) + % ssMdlNC : model without resonance and current loop % % The used data files (generated from Python) are: % (located for now in: /home/zamofing_t/Documents/prj/SwissFEL/epics_ioc_modules/ESB_MX/python/MXTuning/18_10_02/ ) @@ -97,7 +98,19 @@ function [mot1,mot2]=identifyFxFyStage() else ob='not ';%not observable end - disp([s,' is ',ct,'controlable and ',ob,'observable.']); + disp([s,' is ',ct,'controlable and ',ob,'observable.']); + end + + function y=myNorm(y) + %normalizes num and den by factor 1000 + %y.*10.^(3*(length(y):-1:1)) + end + + function plotBode(mot) + t1=tf(mot.ssPlt);t2=tf(mot.ssMdl_c1);t3=tf(mot.ssMdl_12);h=bodeplot(mot.meas,'r',t1(3,1),'g',t2(3,1),'b',t3(1,1),'m',mot.w); + setoptions(h,'FreqUnits','Hz','Grid','on'); + ax=h.getaxes(); + legend(ax(1),'Location','sw',{'real','plant','no res','no cur + 1 res'}); end function mot=fyStage() @@ -116,60 +129,80 @@ function [mot1,mot2]=identifyFxFyStage() mot.tf_mdl=idtf(mot.mdl.num,mot.mdl.den); %ss([g1 mot.tf_mdl],'minimal') this doesn't work as expected - numc=myNorm(mot.mdl.numc); - denc=myNorm(mot.mdl.denc); - num1=myNorm(mot.mdl.num1); - den1=myNorm(mot.mdl.den1); - num2=myNorm(mot.mdl.num2); %resonance - den2=myNorm(mot.mdl.den2); - g1=tf(numc,denc); % iqCmd->iqMeas - s1=ss(g1); - 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) - %tf(s1) % display all transfer functions - num=conv(num1,num2);%num=1; - den=conv(den1,den2);%den=[1 0 0]; - g2=tf(num,den); %iqMeas->ActPos - s2=ss(g2); - s3=append(s1,s2); - s3.A(3,2)=s3.C(1,2)*s3.B(3,2); - mot.ssPlt=ss(s3.A,s3.B(:,1),s3.C,0); % single input, remove input iqMeas - mot.ssPlt.InputName{1}='iqCmd'; - mot.ssPlt.OutputName{1}='iqMeas'; - mot.ssPlt.OutputName{2}='iqVolts'; - mot.ssPlt.OutputName{3}='actPos'; - chkCtrlObsv(mot.ssPlt,'ssPlt fyStage'); + tfc=tf(mot.mdl.numc,mot.mdl.denc); %current loop iqCmd->iqMeas + tf1=tf(mot.mdl.num1,mot.mdl.den1); %current to position + tf2=tf(mot.mdl.num2,mot.mdl.den2); %resonance + %state -space model: ssc:current ssm:mechanics ssa:all (current+mechanics) + + % plant % u +-----------+ y %iqCmd------->|1 1|-------> iqMeas % | 2|-------> iqVolts % | 3|-------> actPos % +-----------+ + ssc=ss(tfc); + ssc.C=[ssc.C; 1E5* 2.4E-3 1E-3*ssc.C(2)*8.8]; % add output iqVolts: iqVolts= i_meas*R+i_meas'*L 2.4mH 8.8Ohm (took random scaling values) + ssm=ss(tf1*tf2); %iqMeas->ActPos + ssa=append(ssc,ssm); + ssa.A(3,2)=ssa.C(1,2)*ssa.B(3,2); + mot.ssPlt=ss(ssa.A,ssa.B(:,1),ssa.C,0); % single input, remove input iqMeas + mot.ssPlt.InputName{1}='iqCmd'; + mot.ssPlt.OutputName{1}='iqMeas'; + mot.ssPlt.OutputName{2}='iqVolts'; + mot.ssPlt.OutputName{3}='actPos'; + chkCtrlObsv(mot.ssPlt,'ssPlt fyStage'); + %tf(ssa) % display all transfer functions %simplified model without resonance - g2=tf(num1,den1); %iqMeas->ActPos without resonance frequencies - s2=ss(g2); - s3=append(s1,s2); - s3.A(3,2)=s3.C(1,2)*s3.B(3,2); - mot.ssMdl=ss(s3.A,s3.B(:,1),s3.C,0); % single input, remove input iqMeas - mot.ssMdl.InputName{1}='iqCmd'; - mot.ssMdl.OutputName{1}='iqMeas'; - mot.ssMdl.OutputName{2}='iqVolts'; - mot.ssMdl.OutputName{3}='actPos'; - chkCtrlObsv(mot.ssMdl,'ssMdl fyStage'); + % u +-----------+ y + %iqCmd------->|1 1|-------> iqMeas + % | 2|-------> iqVolts + % | 3|-------> actPos + % +-----------+ + ssm=ss(tf1); %iqMeas->ActPos + ssa=append(ssc,ssm); + ssa.A(3,2)=ssa.C(1,2)*ssa.B(3,2); + mot.ssMdl_c1=ss(ssa.A,ssa.B(:,1),ssa.C,0); % single input, remove input iqMeas + mot.ssMdl_c1.InputName{1}='iqCmd'; + mot.ssMdl_c1.OutputName{1}='iqMeas'; + mot.ssMdl_c1.OutputName{2}='iqVolts'; + mot.ssMdl_c1.OutputName{3}='actPos'; + chkCtrlObsv(mot.ssMdl_c1,'ssMdl_c1 fyStage'); - %filter in front of plant to suppress resonances (inverse of reonance) - den=num2;%num=1; - num=den2;%den=[1 0 0]; - mot.prefilt=tf(num,den); + %model without current loop, with one resonance + %this assumes that the iqCmd->iqMeas is not relevant for motion + % u +-----------+ y + %iqMeas------>|1 1|-------> actPos + % +-----------+ + ssm=ss(tf1*tf2); %iqMeas->ActPos + mot.ssMdl_12=ssm; %iqMeas->ActPos without resonance frequencies + mot.ssMdl_12.InputName{1}='iqMeas'; + mot.ssMdl_12.OutputName{1}='actPos'; + chkCtrlObsv(mot.ssMdl_12,'ssMdl_12 fyStage'); + + %model without current loop, no resonance + %this assumes that the iqCmd->iqMeas is not relevant for motion + % u +-----------+ y + %iqMeas------>|1 1|-------> actPos + % +-----------+ + ssm=ss(tf1); %iqMeas->ActPos + mot.ssMdl_1=ssm; %iqMeas->ActPos without resonance frequencies + mot.ssMdl_1.InputName{1}='iqMeas'; + mot.ssMdl_1.OutputName{1}='actPos'; + chkCtrlObsv(mot.ssMdl_1,'ssMdl_1 fyStage'); + + ssLst=["tfc","tf1","tf2","tfc*tf1","tf1*tf2","tfc*tf1*tf2"]; + sys=[]; + for s = ssLst + eval('sys=ss('+s+');') + %t=tf(sys); + %disp(evalc('t')) + chkCtrlObsv(sys,char(s)); + end %h=bodeplot(mot.meas,'r',mot.tf4_2,'b',mot.tf6_4,'g'); %h=bodeplot(mot.meas,'r',mot.tf2_0,'b',mot.tf_mdl,'g',mot.w); - t1=tf(mot.ssPlt);t2=tf(mot.ssMdl);h=bodeplot(mot.meas,'r',t1(3,1),'g',t2(3,1),'b',mot.w); - setoptions(h,'FreqUnits','Hz','Grid','on'); - - end - function y=myNorm(y) - %normalizes num and den by factor 1000 - %y.*10.^(3*(length(y):-1:1)) + plotBode(mot) end function mot=fxStage() @@ -188,73 +221,88 @@ function [mot1,mot2]=identifyFxFyStage() mot.tf13_9 = tfest(mot.meas, 13, 9, opt); mot.tf_mdl=idtf(mot.mdl.num,mot.mdl.den); - numc=myNorm(mot.mdl.numc); - denc=myNorm(mot.mdl.denc); - num1=myNorm(mot.mdl.num1); - den1=myNorm(mot.mdl.den1); - num2=myNorm(mot.mdl.num2); %resonance - den2=myNorm(mot.mdl.den2); - num3=myNorm(mot.mdl.num3); %resonance - den3=myNorm(mot.mdl.den3); - num4=myNorm(mot.mdl.num4); %resonance - den4=myNorm(mot.mdl.den4); - num5=myNorm(mot.mdl.num5); %resonance - den5=myNorm(mot.mdl.den5); - %num=myNorm(mot.mdl.num); - %den=myNorm(mot.mdl.den); - g1=tf(numc,denc); % iqCmd->iqMeas - s1=ss(g1); - 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) - %tf(s1) % display all transfer functions - num=conv(conv(conv(conv(num1,num2),num3),num4),num5);%num=1; - den=conv(conv(conv(conv(den1,den2),den3),den4),den5);%den=[1 0 0]; + tfc=tf(mot.mdl.numc,mot.mdl.denc); %current loop iqCmd->iqMeas + tf1=tf(mot.mdl.num1,mot.mdl.den1); %current to position + tf2=tf(mot.mdl.num2,mot.mdl.den2); %resonance + tf3=tf(mot.mdl.num3,mot.mdl.den3); %resonance + tf4=tf(mot.mdl.num4,mot.mdl.den4); %resonance + tf5=tf(mot.mdl.num5,mot.mdl.den5); %resonance - g2=tf(num,den); %iqMeas->ActPos - s2=ss(g2); - s3=append(s1,s2); - %t_=tf(s3); - %bode(g2);figure;bode(t_(3,2)); - %connect iqMeas from s1 to iqMeas of s2 - s3.A(3,2)=s3.C(1,2)*s3.B(3,2); + %state -space model: ssc:current ssm:mechanics ssa:all (current+mechanics) - s3.A(3,2)=s3.C(1,2)*s3.B(3,2); - mot.ssPlt=ss(s3.A,s3.B(:,1),s3.C,0); % single input, remove input iqMeas - - mot.ssPlt.InputName{1}='iqCmd'; - mot.ssPlt.OutputName{1}='iqMeas'; - mot.ssPlt.OutputName{2}='iqVolts'; - mot.ssPlt.OutputName{3}='actPos' ; - chkCtrlObsv(mot.ssPlt,'ssPlt fxStage'); + % plant % u +-----------+ y %iqCmd------->|1 1|-------> iqMeas % | 2|-------> iqVolts % | 3|-------> actPos % +-----------+ + ssc=ss(tfc); + ssc.C=[ssc.C; 1E5* 2.4E-3 1E-3*ssc.C(2)*8.8]; % add output iqVolts: iqVolts= i_meas*R+i_meas'*L 2.4mH 8.8Ohm (took random scaling values) + ssm=ss(tf1*tf2*tf3*tf4*tf5); %iqMeas->ActPos + ssa=append(ssc,ssm); + ssa.A(3,2)=ssa.C(1,2)*ssa.B(3,2); + mot.ssPlt=ss(ssa.A,ssa.B(:,1),ssa.C,0); % single input, remove input iqMeas + mot.ssPlt.InputName{1}='iqCmd'; + mot.ssPlt.OutputName{1}='iqMeas'; + mot.ssPlt.OutputName{2}='iqVolts'; + mot.ssPlt.OutputName{3}='actPos' ; + chkCtrlObsv(mot.ssPlt,'ssPlt fxStage'); %simplified model without resonance - g2=tf(num1,den1); %iqMeas->ActPos without resonance frequencies - s2=ss(g2); - s3=append(s1,s2); - s3.A(3,2)=s3.C(1,2)*s3.B(3,2); - mot.ssMdl=ss(s3.A,s3.B(:,1),s3.C,0); % single input, remove input iqMeas - mot.ssMdl.InputName=mot.ssPlt.InputName; - mot.ssMdl.OutputName=mot.ssPlt.OutputName; - chkCtrlObsv(mot.ssMdl,'ssMdl fxStage'); + % u +-----------+ y + %iqCmd------->|1 1|-------> iqMeas + % | 2|-------> iqVolts + % | 3|-------> actPos + % +-----------+ + ssm=ss(tf1); %iqMeas->ActPos + ssa=append(ssc,ssm); + ssa.A(3,2)=ssa.C(1,2)*ssa.B(3,2); + mot.ssMdl_c1=ss(ssa.A,ssa.B(:,1),ssa.C,0); % single input, remove input iqMeas + mot.ssMdl_c1.InputName{1}='iqCmd'; + mot.ssMdl_c1.OutputName{1}='iqMeas'; + mot.ssMdl_c1.OutputName{2}='iqVolts'; + mot.ssMdl_c1.OutputName{3}='actPos'; + chkCtrlObsv(mot.ssMdl_c1,'ssMdl_c1 fxStage'); - %filter in front of plant to suppress resonances (inverse of reonance) - den=conv(conv(conv(num2,num3),num4),num5);%num=1; - num=conv(conv(conv(den2,den3),den4),den5);%den=[1 0 0]; - mot.prefilt=tf(num,den); + %model without current loop, with one resonance + %this assumes that the iqCmd->iqMeas is not relevant for motion + % u +-----------+ y + %iqMeas------>|1 1|-------> actPos + % +-----------+ + ssm=ss(tf1*tf2); %iqMeas->ActPos + mot.ssMdl_12=ssm; %iqMeas->ActPos without resonance frequencies + mot.ssMdl_12.InputName{1}='iqMeas'; + mot.ssMdl_12.OutputName{1}='actPos'; + chkCtrlObsv(mot.ssMdl_12,'ssMdl_12 fxStage'); + + %model without current loop, no resonance + %this assumes that the iqCmd->iqMeas is not relevant for motion + % u +-----------+ y + %iqMeas------>|1 1|-------> actPos + % +-----------+ + ssm=ss(tf1); %iqMeas->ActPos + mot.ssMdl_1=ssm; %iqMeas->ActPos without resonance frequencies + mot.ssMdl_1.InputName{1}='iqMeas'; + mot.ssMdl_1.OutputName{1}='actPos'; + chkCtrlObsv(mot.ssMdl_1,'ssMdl_1 fxStage'); + + ssLst=["tfc","tf1","tf2","tf3","tf4","tf5","tfc*tf1","tf1*tf2","tf1*tf2*tf3","tfc*tf1*tf2"]; + sys=[]; + for s = ssLst + eval('sys=ss('+s+');') + %t=tf(sys); + %disp(evalc('t')) + chkCtrlObsv(sys,char(s)); + end %h=bodeplot(mot.meas,'r',mot.tf4_2,'b',mot.tf6_4,'g',mot.tf13_9,'m',mot.tf_py,'b'); %h=bodeplot(mot.meas,'r',mot.tf2_0,'b',mot.tf_mdl,'g',mot.w); - t1=tf(mot.ssPlt);t2=tf(mot.ssMdl);h=bodeplot(mot.meas,'r',t1(3,1),'g',t2(3,1),'b',mot.w); - setoptions(h,'FreqUnits','Hz','Grid','on'); - %controlSystemDesigner('bode',1,mot.tf_py); % <<<<<<<<< This opens a transferfiûnction that can be edited - + plotBode(mot) end close all mot1=fyStage(); mot2=fxStage(); + %controlSystemDesigner('bode',1,mot1.tf_py); % <<<<<<<<< This opens a transferfiûnction that can be edited + end diff --git a/matlab/observer.slx b/matlab/observer.slx index a28f64ed9de1b3fbd960b43960fd10a05ffcfb2e..c0b0c019c6002f08092f500d2fd7a7be7564b59b 100644 GIT binary patch delta 16551 zcmZv@18^_R@&Fp!wodHi1SdYRZQHimIZ043G$0@#C?F;W8)*YZY-QazR7!xhYyczL2TkFX9Orrnm|DJx zEIkuv!OalMK{T?tk%syH~J#A2=#^lF2Mz(}Rc>{Ke}uv!DYT{&n4Qu4aQ 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s+=' double {u}=Mptr->{u};\n'.format(u=u[i]) - prog+=s+'''\n + prog+=s+''' if (Mptr->ClosedLoop) { - return iqCmd; - } - else - { - Mptr->Servo.Integrator=0.0; - return 0.0; - } ''' - s=' //x[n+1]=A*x[n]+B*u;\n' + s=' //x[n+1]=A*x[n]+B*u;\n' for i in range(A.shape[0]): - s+=' x[%d]='%i + s+=' x[%d]='%i for j in range(A.shape[1]): s+='%+28.22g*_x[%d]'%(A[i,j],j) for j in range(B.shape[0]): @@ -260,29 +253,37 @@ class MXTuning(Tuning): s+=';\n' prog+=s+'\n' - s=' //y=C*x[n]+D*x[n];\n' + s=' //y=C*x[n]+D*x[n];\n' for i in range(C.shape[0]): - s+=' %s='%y[i] + s+=' %s='%y[i] for j in range(C.shape[1]): s+='%+28.22g*_x[%d]'%(C[i,j],j) s+=';\n' prog+=s+'\n' - prog+=''' iqCmd=DesPos*{V}-{y}; - if (iqCmd>maxDac) - {{ - iqCmd=maxDac; + prog+=''' iqCmd=DesPos*{V}-{y}; + if (iqCmd>maxDac) + {{ + iqCmd=maxDac; + }} + else + {{ + if (iqCmd<-maxDac) + {{ + iqCmd=-maxDac; + }} + }} + //return iqCmd; + pshm->P[200{motid}]=iqCmd; //lowpass of Position error + return pshm->ServoCtrl(Mptr); }} else {{ - if (iqCmd<-maxDac) - {{ - iqCmd=-maxDac; - }} + Mptr->Servo.Integrator=0.0; + return 0.0; }} - return iqCmd; -}}'''.format(V=V[0,0],y=y[0]) +}}'''.format(V=V[0,0],y=y[0],motid=motid) hdr='''double obsvr_servo_ctrl_{motid}(MotorData *Mptr); EXPORT_SYMBOL(obsvr_servo_ctrl_{motid});'''.format(motid=motid) @@ -336,7 +337,7 @@ Examples:'''+''.join(map(lambda s:cmd+s, exampleCmd))+'\n ' #plt.ion() #args.host='MOTTEST-CPPM-CRM0573' - #args.host=None + args.host=None if args.host is None: comm=gt=None else: diff --git a/python/MXTuningDoc/curr_step.eps b/python/MXTuningDoc/curr_step.eps new file mode 100644 index 0000000..2f38dd4 --- /dev/null +++ b/python/MXTuningDoc/curr_step.eps @@ -0,0 +1,2535 @@ +%!PS-Adobe-3.0 EPSF-3.0 +%%Creator: (MATLAB, The Mathworks, Inc. 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