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Update RLocusGui.m #1

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57 changes: 31 additions & 26 deletions RLocusGui.m
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Original file line number Diff line number Diff line change
Expand Up @@ -97,13 +97,18 @@ function RLocusGui_OpeningFcn(hObject, ~, handles, varargin)
Sys=tf(1,[1 5 4 0]);
else
if ( (nargin~=1) || (~isa(varargin{1},'tf')) ),
disp(' ');
disp('Root Locus Plotter - proper usage is ''RLocusGui(Sys)'',')
disp(' where ''Sys'' is a transfer function object.');
disp(' '); disp(' ');
close(handles.RLocusGuiFig);
close(hWait);
return
if (isa(varargin{1},'zpk')),
[n,d]=tfdata(varargin{1});
varargin{1}=tf(n,d);
else
disp(' ');
disp('Root Locus Plotter - proper usage is ''RLocusGui(Sys)'',')
disp(' where ''Sys'' is a transfer function object.');
disp(' '); disp(' ');
close(handles.RLocusGuiFig);
close(hWait);
return
end
end
Sys=varargin{1}; % Get system
[n,d,tfOK]=testTF(Sys); % Check it
Expand Down Expand Up @@ -588,7 +593,7 @@ function cbInteract_Callback(hObject, eventdata, handles)
if isreal(z(i)),
s=sprintf('%s %5.2g, ',s,z(i));
else
s=sprintf('%s %5.2g�%5.2gj, ',s,real(z(i)),imag(z(i)));
s=sprintf('%s %5.2g±%5.2gj, ',s,real(z(i)),imag(z(i)));
i=i+1;
end
i=i+1;
Expand Down Expand Up @@ -1017,8 +1022,8 @@ function pbMakeWeb_Callback(~, ~, handles)
sigma=real(sump-sumz)/q; %Intersect on real axis.
theta=180/q; %Angle of asymptotes

s{end+1}='Angle of asymptotes at odd multiples of �180�/q ';
eStr=['(i.e., ' sprintf(' �%g�,',(1:2:q)*180/q)];
s{end+1}='Angle of asymptotes at odd multiples of ±180°/q ';
eStr=['(i.e., ' sprintf(' ±%g°,',(1:2:q)*180/q)];
s{end}=[s{end} eStr(1:(end-1)) ').']; %Strip off last comma.
s{end+1}=' ';
s{end+1}=ListString('There exists ', p, ' pole',',');
Expand All @@ -1034,7 +1039,7 @@ function pbMakeWeb_Callback(~, ~, handles)
s{end}=[s{end} ' (highlighted by five pointed star).'];

if q==1,
s{end+1}='Since q=1, there is a single asymptote at �180�';
s{end+1}='Since q=1, there is a single asymptote at ±180°';
s{end+1}='(on negative real axis), so intersect of this asymptote';
s{end+1}='on the axis s not important (but it is shown anyway).';
end
Expand Down Expand Up @@ -1204,7 +1209,7 @@ function pbMakeWeb_Callback(~, ~, handles)
'- (zero at ' num2str(z(i)) ') ).'];
end
fs=['Theta_z' num2str(i)...
'=angle((%s) - (%s)) = angle(%s) = %s�'];
'=angle((%s) - (%s)) = angle(%s) = %s°'];
s{end+1}=sprintf(fs,num2str(cP),num2str(z(i)),...
num2str(cP-z(i)),num2str(theta*180/pi));
end
Expand All @@ -1227,7 +1232,7 @@ function pbMakeWeb_Callback(~, ~, handles)
firstLine=0;
end
fs=['Theta_p' num2str(i)...
'=angle((%s) - (%s)) = angle(%s) = %s�'];
'=angle((%s) - (%s)) = angle(%s) = %s°'];
s{end+1}=sprintf(fs,num2str(cP),num2str(p(i)),...
num2str(cP-p(i)),num2str(theta*180/pi));
end
Expand All @@ -1244,17 +1249,17 @@ function pbMakeWeb_Callback(~, ~, handles)
end

s{end+1}='Angle of Departure is equal to:';
s{end+1}='Theta_depart = 180� + sum(angle to zeros) - ';
s{end+1}='Theta_depart = 180° + sum(angle to zeros) - ';
s{end}=[s{end} 'sum(angle to poles).'];
s{end+1}=['Theta_depart = 180� + ' num2str(sum_zeros*180/pi)...
s{end+1}=['Theta_depart = 180° + ' num2str(sum_zeros*180/pi)...
'-' num2str(sum_poles*180/pi) '.'];
s{end+1}=sprintf('Theta_depart = %5.3g�.',theta_D1*180/pi);
s{end+1}=sprintf('Theta_depart = %5.3g°.',theta_D1*180/pi);
if theta_D1 ~= theta_D,
s{end+1}=sprintf('This is equivalent to %5.3g�.',theta_D*180/pi);
s{end+1}=sprintf('This is equivalent to %5.3g°.',theta_D*180/pi);
end
s{end+1}=' ';
s{end+1}='This angle is shown in gray.';
s{end+1}='It may be hard to see if it is near zero�.';
s{end+1}='It may be hard to see if it is near zero°.';

%Draw angle of departure with a larger (grey) arc.
r=2*r;
Expand Down Expand Up @@ -1306,7 +1311,7 @@ function pbMakeWeb_Callback(~, ~, handles)
'=angle( (Arriving zero) - (zero at ' num2str(p(i)) ') ).'];
end
fs=['Theta_z' num2str(i)...
'=angle((%s) - (%s)) = angle(%s) = %s�'];
'=angle((%s) - (%s)) = angle(%s) = %s°'];
s{end+1}=sprintf(fs,num2str(cZ),num2str(z(i)),...
num2str(cZ-z(i)),num2str(theta*180/pi));
end
Expand All @@ -1323,7 +1328,7 @@ function pbMakeWeb_Callback(~, ~, handles)
'(pole at ' num2str(p(i)) ') ).'];
end
fs=['Theta_p' num2str(i)...
'=angle((%s) - (%s)) = angle(%s) = %s�'];
'=angle((%s) - (%s)) = angle(%s) = %s°'];
s{end+1}=sprintf(fs,num2str(cZ),num2str(p(i)),...
num2str(cZ-p(i)),num2str(theta*180/pi));
end
Expand All @@ -1339,17 +1344,17 @@ function pbMakeWeb_Callback(~, ~, handles)
end

s{end+1}='Angle of arrival is equal to:';
s{end+1}='Theta_arrive = 180� - sum(angle to zeros) + ';
s{end+1}='Theta_arrive = 180° - sum(angle to zeros) + ';
s{end}=[s{end} 'sum(angle to poles).'];
s{end+1}=['Theta_arrive = 180� - ' num2str(sum_zeros*180/pi)...
s{end+1}=['Theta_arrive = 180° - ' num2str(sum_zeros*180/pi)...
'+' num2str(sum_poles*180/pi) '.'];
s{end+1}=sprintf('Theta_arrive = %5.3g�.',theta_D1*180/pi);
s{end+1}=sprintf('Theta_arrive = %5.3g°.',theta_D1*180/pi);
if theta_D1 ~= theta_D,
s{end+1}=sprintf('This is equivalent to %5.3g�.',theta_D*180/pi);
s{end+1}=sprintf('This is equivalent to %5.3g°.',theta_D*180/pi);
end
s{end+1}=' ';
s{end+1}='This angle is shown in gray.';
s{end+1}='It may be hard to see if it is near 0�.';
s{end+1}='It may be hard to see if it is near 0°.';

r=2*r;
DrawArc(cZ+r*exp(j*theta_D),cZ,[0.8 0.8 0.8],theta_D,r,'\theta_{arrive}');
Expand Down Expand Up @@ -1414,7 +1419,7 @@ function pbMakeWeb_Callback(~, ~, handles)
if wcross(i)==0,
s{end}=[s{end} ' 0,'];
else
s{end}=[s{end} sprintf(' �%5.3gj,',wcross(i))];
s{end}=[s{end} sprintf(' ±%5.3gj,',wcross(i))];
end
end
if n>1,
Expand Down