In the documentation "ref/RootLocusPlot" -> "Options" -> "FeedbackType" it's written:
Root loci of an open-loop system with positive feedback:
RootLocusPlot[TransferFunctionModel[{{{k (34 + 10 s + s^2)}},
12 + 26 s + 22 s^2 + 9 s^3 + s^4}, s], {k, 0, 30},
FeedbackType -> "Positive"]
and
A closed-loop system:
RootLocusPlot[TransferFunctionModel[{{{k s}}, 1 + s + k s^2 + s^3},
s], {k, 0, 2}, FeedbackType -> None]
Also in documentation's FeedbackType in details there is
The following settings can be used: "Negative" system with negative feedback "Positive" system with positive feedback None closed-loop system or system with no feedback
I always thought a system with feedback is a closed loop system (positive or negative) and the open loop variant has no feedback (none), no?
A little test shows:
num = s^2 a1 + s a2 + a3;
denom = s^3 b1 + s^2 (b2 + F b3) + s F b4 + b5;
constants = {a1 -> 3421.02, a2 -> 0.760227 F, a3 -> 21524.5,
b1 -> 5592, b2 -> 3421, b3 -> 1.242, b4 -> 0.760, b5 -> 21524};
tfm = TransferFunctionModel[num/denom, s]
RootLocusPlot[tfm /. constants, {F, 0, 20000},
FeedbackType -> "Negative", PlotLabel -> "FeedbackType->Negative",
AspectRatio -> 1/GoldenRatio]
and
RootLocusPlot[
SystemsModelFeedbackConnect[tfm, "Negative"] /. constants,
{F, 0, 20000}, FeedbackType -> None,
PlotLabel -> "ClosedLoop->Negative,FeedbackType->None",
AspectRatio -> 1/GoldenRatio]
give the same root locus plot. I might just be confused this morning :)
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