utilisation de @resppack

**doumo** · 29/06/2009, 07h24

A partir de l'exemple RLC_demo developpée par les auteurs: A. DiVergilio et P. Gahinet, jai réalisé ce programme qui donne les courbes suivantes: diagramme de bode, Pole-zero map, step response et diagramme de Nyquist. Mon souci est de mettre dans chaque type de tracés plusieurs (3) courbes correspondant à trois différentes fonctions de transfert. Ce que je n'arrive pas à faire. Toutes suggestions seraient les bienvenues. merci

Code :

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function mamad_loop
clc
clear all
close all
% Figure
pos = get(0,'DefaultFigurePosition');
fg = figure(...
   'Name','Feedback Loop Response',...
   'Position',pos+pos(3)*[-0.1 0 .2 0],...
   'IntegerHandle','off',...
   'NumberTitle','off',...
   'DoubleBuffer','on',...
   'DefaultUIControlFontSize',8,...
   'DefaultAxesFontSize',8,...
   'DefaultTextFontSize',8,...
   'DefaultAxesBox','on',...
   'DefaultAxesDrawMode','fast',...
   'HandleVisibility','callback',...
   'Visible','off',...
   'DockControls', 'off');
 
if isunix
   set(fg,'DefaultUIControlFontSize',10);
end
 
%---Data structure
ud = struct(...
   'Type',1,...
   'b1',-4.25e-2,...
   'b0',4.4e-2,...
   'K',1e-5,...
   'Ts',1e3,...
   'Response',[],...
   'System',[],...
   'Resonance',[],...
   'Diagram',[]);
 
%---Plot layout parameters
xmax = 0.68;
xmin = 0.03;
ymin = 0.08;
ymax = 0.99;
xsp  = 0.07;
ysp  = 0.1;
ysp2 = 0.025;
axw  = (xmax-xmin-xsp)/2;
axh  = (ymax-ymin-ysp)/2;
axh2 = (axh-ysp2)/2;
AFC  = [.3 .3 .3];
 
%---Bode plot
ax = axes('Parent',fg,'Position',[0.03 0.5850 0.325 0.415],...
   'XColor',AFC,'YColor',AFC);
grid(ax);
gridline('Parent',ax,'Type','y','Value',0,'Linewidth',2,'LineStyle','-','Color',[.8 .80 .40]);
% line('Parent',ax,'XData',w(:),'YData',(abs(h1(:))),'Color','r','LineWidth',2);
BodePlot = resppack.bodeplot(ax, [1 1]);
BodePlot.AxesGrid.XUnits = {'rad/sec'};
BodePlot.AxesGrid.YUnits = {'dB';'deg'};
r11 = BodePlot.addresponse;
r11.setstyle('LineWidth',2,'Color','b')
 
%---Pole-Zero Plot
ax1 = axes('Parent',fg,'Position',[0.39 0.585 0.325 0.415],...
   'XColor',AFC,'YColor',AFC);
grid(ax1);
PZPlot = resppack.pzplot(ax1, [1 1]);
r12 = PZPlot.addresponse;
r12.setstyle('LineWidth',2,'Color','b')
 
%---Step Plot
ax2 = axes('Parent',fg,'Position',[0.03 0.08 0.325 0.415],...
    'XColor',AFC,'YColor',AFC);
grid(ax2);
StepPlot = resppack.timeplot(ax2, [1 1]);
StepPlot.AxesGrid.Title = 'Step Response';
r21 = StepPlot.addresponse;
r21.setstyle('LineWidth',2,'Color','b')
 
%---Nyquist Plot
ax3 = axes('Parent',fg,'Position',[xmin+axw+xsp ymin 0.325 0.415],'XColor',AFC,'YColor',AFC);
grid(ax3)
NyqPlot = resppack.nyquistplot(ax3, [1 1]);
r22 = NyqPlot.addresponse(1,1);
r22.setstyle('LineWidth',2,'Color','b')
 
% All response
r = [r11 r12;r21 r22];
ud.Responses = r;
% save('ud.Responses')
%---Control panel layout parameters
CC = [0.7 0.7 0.7];
xl = 0.75;
xr = 0.99;
yb = 0.08;
yt = 0.98;
axes('Parent',fg,'Position',[0.725 0.08 0.27 0.92],'Color',CC,'XTick',[],'YTick',[]);
 
%---Sliders
y = yb+.06;
dy = 0.11;
y+2*dy+.045;
BDF = {@localBeginScan,ud.Responses};
BUF = {@localEndScan,ud.Responses};
rtslider('Parent',fg,'Position',[xl+.07 y+(3-0.10)*dy xr-xl-.1 .04],'Range',[0 4],'Value',ud.b0,'Label','b0',...
   'ButtonDownFcn',BDF,'Callback',{@localUpdate,fg,'b0'},'ButtonUpFcn',BUF);
rtslider('Parent',fg,'Position',[xl+.07 y+(2-0.10)*dy xr-xl-.1 .04],'Range',[-2 0],'Value',ud.b1,'Label','b1',...
   'ButtonDownFcn',BDF,'Callback',{@localUpdate,fg,'b1'},'ButtonUpFcn',BUF);
rtslider('Parent',fg,'Position',[xl+.07 y+(1-0.10)*dy xr-xl-.1 .04],'Range',[1e-7 1e6],'Value',ud.K,'Label','K',...
   'ButtonDownFcn',BDF,'Callback',{@localUpdate,fg,'K'},'ButtonUpFcn',BUF);
rtslider('Parent',fg,'Position',[xl+.07 y-(0+0.10)*dy xr-xl-.1 .04],'Range',[1e-6 1e6],'Value',ud.Ts,'Label','Ts',...
   'ButtonDownFcn',BDF,'Callback',{@localUpdate,fg,'Ts'},'ButtonUpFcn',BUF);
%---System/Topology
ud.Diagram = axes('Parent',fg,'Position',[0.755 0.54 0.241 0.4],...
   'Color','none','XColor',[.7 .7 .7],'YColor',[.7 .7 .7],'XTick',[],'YTick',[]);
ax = ud.Diagram;
DrawFeedbackLoop(ud.Diagram);
 
%---Store data structure and show figure
set(fg,'UserData',ud)
 
%---Initialize simulation
localUpdate([],[],fg,'');
 
%---Make figure visible
set(fg,'Visible','on')
 
%----------------------------------------------------------------------------%
%---------------------------- Live Graphics ------------------------------%
%----------------------------------------------------------------------------%
function localBeginScan(eventSrc,eventData,r)
%---Sets EraseMode to 'xor' for all lines being updated
 
set(r,'RefreshMode','quick')
 
function localEndScan(eventSrc,eventData,r)
%---Sets EraseMode back to 'normal'
set(r,'RefreshMode','normal')
for ct=1:4
   draw(r(ct))  % update plots
end
 
%---Change parameter value (eventData = new value)
%---Change b0, b1, K and Ts
 
function localUpdate(eventSrc,eventData,fg,param)
ud = get(fg,'UserData');
switch param
case 'b0', 
   ud.b0 = eventData;
case 'b1', 
   ud.b1 = eventData;
case 'K', 
   ud.K = eventData;
case 'Ts', 
   ud.Ts = eventData;
end
 
%----------------------------------- Transfer Function 1 ----------------------------------------%
Num = [(ud.b1-ud.b0),(-(4*ud.b1)/ud.Ts),(4/ud.Ts^2)*(ud.b1+ud.b0)];
Denum = [4,0,0];
%r=0.6;
G = tf(Num,Denum);
 
%------------------------------------ Transfer Function 2 ---------------------------------------------%
Num_K = [(ud.b1-ud.b0*(1+ud.K)),-((4/ud.Ts)*(ud.b1-ud.b0*ud.K)),((4/(ud.Ts^2))*(ud.b0*(1-ud.K)+ud.b1))];
Denum_K = [((ud.K+2)^2),-((4*ud.K*(ud.K+2))/(ud.Ts)),(4*((ud.K)^2))/(ud.Ts^2)];
G_K = tf(Num_K,Denum_K);
%G_Kz = c2d(G_K,1e4)
 
%------------ Systems -----------------------%
H_vco = 1/(1+G);
H_hm = G/((1+G)*(1+G_K));
H_cs = (G*G_K)/((1+G)*(1+G_K));
sys = H_vco;
sys1 = H_hm;
sys2 = H_cs;
% rlocus(G_K,G)
% ts = 1e3;
% H_vcoz = c2d(H_vco,ts)
% H_hmz = c2d(H_hm,ts)
% H_csz = c2d(H_cs,ts)
% ltiview(H_vco,H_hm,H_cs)
 
%---Data source and responses
w = logspace(-8,9,128);
f = unitconv(w,'rad/sec','hz');
t = [0:50000:1e9];
r = ud.Responses;
 
% Time and frequency response
y = step(sys,t);
h = freqresp(sys,w);
% save('h')
y1 = step(sys1,t);
h1 = freqresp(sys1,w);
 
y2 = step(sys2,t);
h2 = freqresp(sys2,w);
 
% Bode
d = r(1,1).Data;
d.Frequency = w(:);
d.Magnitude = (abs(h(:)));
d.Phase = unwrap(angle(h(:)));
d.Focus = [1e-8 1e9];
 
% a = r(1,1).Data;
% a.Frequency = w(:);
% a.Magnitude = (abs(h1(:)));
% a.Phase = unwrap(angle(h1(:)));
% a.Focus = [1e-8 1e9];
 
% Nyquist
d = r(2,2).Data;
d.Frequency = w(:);
d.Response = h(:);
d.Focus = [1e-8 1e8];
 
% Step response
d = r(2,1).Data;
d.Time = t(:);
d.Amplitude = y;
d.Focus = [0 1e9];
 
% Pole/zero
d = r(1,2).Data;
[d.Zero,d.Pole] = zpkdata(sys);
% save('r(1,1).Data')
% Redraw
for ct=1:4
   draw(r(ct))
end
 
%---Draw feedback loops with plant data
function DrawFeedbackLoop(ax)
 
%-------------------------------- First Loop --------------------------%
set(ax,'XLim',[-0.05 1.85],'YLim',[0.35 2.1]);
text('Parent',ax,'String','Cs','Position',[0.01 2.05],...
      'FontSize',8,'FontWeight','bold','HorizontalAlignment','right','VerticalAlignment','top');
wire('x',[0.02 0.3],'y',[2 2],'parent',ax,'arrow',0.06);
sumblock('Parent',ax,'Position',[0.36 2],'label',{'-3'},'radius',.07,...
    'LabelRadius',0.01,'facecolor',[.8 1 1],'fontsize',20);
wire('x',[0.43 0.85],'y',[2 2],'parent',ax,'arrow',0.06);
sysblock('Parent',ax,'position',[0.85 1.88 0.25 0.25],'name','G_K',...
    'fontweight','bold','facecolor',[.8 1 1],'fontsize',10);
wire('x',[1.1 1.43],'y',[2 2],'parent',ax,'arrow',0.06);
text('Parent',ax,'String','HM','Position',[1.55 2.32],...
      'FontSize',8,'FontWeight','bold','HorizontalAlignment','right','VerticalAlignment','top');
sumblock('Parent',ax,'Position',[1.5 2],'label',{'+3'},'radius',.07,...
    'LabelRadius',0.01,'facecolor',[.8 1 1],'fontsize',20);
text('Parent',ax,'String','Z','Position',[1.8 2.095],...
      'FontSize',8,'FontWeight','bold','HorizontalAlignment','right','VerticalAlignment','top');
wire('x',[1.5 1.5],'y',[2.25 2.08],'parent',ax,'arrow',0.06);
wire('x',[1.565 1.8],'y',[2 2],'parent',ax,'arrow',0.06);
wire('x',[1.7 1.7 0.35 0.35],'y',[2 1.78 1.78 1.94],'parent',ax,'arrow',0.06);
 
%----------------------------- Second Loop --------------------------%
text('Parent',ax,'String','Z','Position',[0.005 1.5],...
      'FontSize',8,'FontWeight','bold','HorizontalAlignment','right','VerticalAlignment','top');
wire('x',[0.01 0.3],'y',[1.45 1.45],'parent',ax,'arrow',0.06);
sumblock('Parent',ax,'Position',[0.36 1.45],'label',{'-3'},'radius',.07,...
    'LabelRadius',0.01,'facecolor',[.8 1 1],'fontsize',20);
wire('x',[0.43 0.85],'y',[1.45 1.45],'parent',ax,'arrow',0.06);
sysblock('Parent',ax,'position',[0.85 1.32 0.25 0.25],'name','G',...
    'fontweight','bold','facecolor',[.8 1 1],'fontsize',10);
wire('x',[1.1 1.43],'y',[1.45 1.45],'parent',ax,'arrow',0.06);
sumblock('Parent',ax,'Position',[1.5 1.45],'label',{'+3'},'radius',.07,...
    'LabelRadius',0.01,'facecolor',[.8 1 1],'fontsize',20);
wire('x',[1.5 1.5],'y',[1.65 1.53],'parent',ax,'arrow',0.06);
text('Parent',ax,'String','VCO','Position',[1.55 1.72],...
      'FontSize',8,'FontWeight','bold','HorizontalAlignment','right','VerticalAlignment','top');
wire('x',[1.565 1.8],'y',[1.45 1.45],'parent',ax,'arrow',0.06);
wire('x',[1.7 1.7 0.35 0.35],'y',[1.45 1.2 1.2 1.4],'parent',ax,'arrow',0.06);
text('Parent',ax,'String','OUT','Position',[1.8 1.55 0],...
      'FontSize',8,'FontWeight','bold','HorizontalAlignment','right','VerticalAlignment','top');
 
%-------------------------- Equations -----------------------------------%
text('interpreter','latex','Parent',ax,'String','$$G_K(p)=\frac{(b_{0}(K+1)^{2}-b_{1}(1+K))p^{2}+\frac{4(b_{0}(1-K^{2})+b_{1}K)}{T_{s}}p+\frac{4(b_0(1-K)^2+b_1(1-K))}{Ts^2}}{(K+2)^{2}p^{2}-\frac{4}{T_s}K(K+2)p+\frac{4}{{T_s}^{2}}K^2}$$',...
    'Position',[1.859 0.8],'FontSize',7.45,'FontWeight','bold','HorizontalAlignment','right','VerticalAlignment','top','BackgroundColor','none');
text('interpreter','latex','Parent',ax,'String','$$G(p)=\frac{(b_{0}-b_{1})p^{2}+\frac{4b_{0}}{T_{s}}p+\frac{4}{{T_{s}}^2}(b_{0}+b_{1})}{4p^{2}}$$',...
    'Position',[1.5 1.1],'FontSize',9,'FontWeight','bold','HorizontalAlignment','right','VerticalAlignment','top','BackgroundColor','none');
text('interpreter','latex','Parent',ax,'String','$$OUT=\frac{1}{1+G}VCO + \frac{G}{(1+G)(1+G_K)}HM + \frac{G \cdot G_K}{(1+G)(1+G_K)}Cs$$',...
    'Position',[1.8 0.52],'FontSize',8.2,'FontWeight','bold','HorizontalAlignment','right','VerticalAlignment','top','BackgroundColor',[0.8 1 1]);
text('Parent',ax,'String','Feeback Loops','Position',[0.9 2.32],...
      'FontSize',12,'FontWeight','bold','HorizontalAlignment','center','VerticalAlignment','top');
text('Parent',ax,'String','Paramètres ajustables','Position',[0.65 0.28],...
      'FontSize',10,'FontWeight','bold','HorizontalAlignment','right','VerticalAlignment','top');

Merci d'avance