Please note that the recommended version of Scilab is 2025.0.0. This page might be outdated.
See the recommended documentation of this function
hallchart
Draws the Hall chart
Calling Sequence
hallchart([ modules [,args [,colors]]])
Arguments
- modules
real vector ( modules (in dB))
- args
real vector (phases (in degree))
- colors
a scalar or a vector, the color indices for isogain and iso phase curves
Description
plot the Hall'chart: iso-module and iso-argument contours of
y/(1+y)
in the real(y)
, imag(y)
plane
hallchart
may be used in cunjunction with
nyquist.
The default values for modules
and
args
are respectively :
[-20 -10 -6 -4 -2 2 4 6 10 20]
[-90 -60 -45 -30 -15 15 30 45 60 90]
This function superseeds the m_circle function
Graphics entities organization
The hallchart
function create a single
compound object which is generaly the last child of the current
axes. This compound object contains a set of compound objects, one
for each grid curve. The first ones are the iso module curves and
the last one the iso-argument contours. Each of these compound
objects contains a Polyline object (the curve) and a Text object
(the label). The following piece of code can be used to change the color of the ith iso module curve:
clf();hallchart() ax=gca();//handle on current axes c=ax.children($).children;// the handles on the chart grid curves i=4; //the index of the -4dB curve ci=c(i); //the handle on the -4dB curve ci.children(1).foreground=color('red'); //draw it in red j=3; // the index of the -45° curve cj=c(10+j); //the handle on the -45° curve cj.children(1).thickness=3;//draw it thicker
Examples
//Hall chart clf();hallchart()
//Hall chart as a grid for nyquist s=poly(0,'s'); Plant=syslin('c',16000/((s+1)*(s+10)*(s+100))); //two degree of freedom PID tau=0.2;xsi=1.2; PID=syslin('c',(1/(2*xsi*tau*s))*(1+2*xsi*tau*s+tau^2*s^2)); clf(); nyquist([Plant;Plant*PID],0.5,100,["Plant";"Plant and PID corrector"]); hallchart(colors=color('light gray')*[1 1]) //move the caption in the lower rigth corner ax=gca();Leg=ax.children(1); Leg.legend_location="in_lower_right";
See Also
- nyquist — nyquist plot
- nicholschart — Nichols chart
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