## Fractional order root locus

Version 1.1.0.0 (2.02 KB) by
This function generates the root locus (RL) plot of a fractional order transfer function.
Updated 10 Apr 2015

This function generates the root locus (RL) plot of a fractional order
transfer function (for LTI systems). The first plot is the RL on the
s-plane, and the second plot is the RL on the 1st Riemann sheet of the s-plane
The input is the numerator and denominator polynomial coefficients,
and the fundamental order lambda (i.e. the lowest common denominator of
all the fractional orders on numerator and denominator).
The output returns the figure hundle.
E.g. for the transfer function below:
1.2s^{1.3}+1 1.2s^{13/10}+1
G(s) = ----------------------------- = ----------------------------------
0.8s^{2.6}+s^{1.3}+1 0.8s^{26/10}+s^{13/10}+1
lambda = 10;
num = [1.2 zeros(1,12) 1];
den = [0.8, zeros(1,12), 0.6, zeros(1, 12), 1];
The syntax for calling the function is: [fh1, fh2] = forlocus(num, den, lambda)

### Cite As

Zhuo Li (2024). Fractional order root locus (https://www.mathworks.com/matlabcentral/fileexchange/50458-fractional-order-root-locus), MATLAB Central File Exchange. Retrieved .

##### MATLAB Release Compatibility
Created with R2014a
Compatible with any release
##### Platform Compatibility
Windows macOS Linux

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#### forlocus/

Version Published Release Notes
1.1.0.0

Corrected an error in the demo code
den = [0.8, zeros(1,22), 0.6, zeros(1, 22), 1]; changed to
den = [0.8, zeros(1,12), 0.6, zeros(1, 12), 1];

1.0.0.0