Plotting root locus as a function of parameter

Hello all

We can use

rlocus (sys)

to plot the root locus of the system.

If we were given the transfer function as a function of not only 's', but also another parameter b; eg, TF(s)=2s+4+b. How can we use rlocus to plot the root locus as a function of this parameter b?

[Alex Hirzel]

To do this, you need to feed rlocus a calculated value for sys. Let's say G(s) = 1/(2s+4+b) and you want to vary b. You need to form the closed-loop system, Gcl(s) = 1/(2s+5+b), and set the denominator equal to zero. Then take this equation, 2s+5+b=0, and solve it for -1/b, which gives -1/b = 1/(2s+6). Feed this into rlocus:

rlocus(tf(1, [2 6]))

Hope this helps you!