PID - Root Locus (Sisotool) for Transfer Function (TF) with Zero and Poles in Right Plane

1

Hi everyone! I have a 8th order transfer function, you can see it in the first image:

% Transfer function
num = [2.091,0,203.3,0,-2151,0,-1.072e05];
den = [1,0,-830.4,0,-1.036e05,0,-5.767e05,0,2.412e07];
tf = tf(num, den)

tf

rootlocus
rootlocus1440×823 9.74 KB

I need to use a PID, so I’m trying to use a compensator, adding poles and zero with the sisotool in MatLab to turn it stable. But iI tried, I tried, and tried, without success. How you can see in picture bellow. But the zero on the right side always holds a pole.
Note: Red zeros and poles have been added, and blue ones belong to the original transfer function.

sisotool2
sisotool21440×900 49.7 KB

My question is:
Is it possible stable this function adding zeros and poles, or not ?

Any tips ?
Note: I must use a PID for this lesson :frowning:

2

What are you referring to when you talk about a PID? Could you mean a “Principal ideal domain” [1]? The PID Forum deals with various “Persistent identifier” systems, e.g. DOI, Handle, ORCID, etc.

regards, Gerhard Gonter