MATLAB Matlab help (Root Locus using Z Domain)

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To plot the root locus of a z-domain transfer function in MATLAB, first ensure that you specify the sampling time in your system description. This informs MATLAB that the variable is discrete. The command 'rlocus' can then be used to generate the root locus plot for the z-domain transfer function, similar to how it is done in the Laplace (s) domain. There are no significant differences in the plotting process between the two domains, making it straightforward to apply the same method.
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I'm trying to prooduce a plot of a root locus for an open loop transfer function.
The transfer function is in the z-domain, with a gain K. I've already solved for the charectoristic equation of the system by hand.

But, how do I use Matlab to plot the root locus of a transfer function in the Z - Domain? I've seen examples in the Laplace (s) Domain...do these work the same way? (as in...i won't need to do anything differently?)

thank you.
 
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When describing your system in Matlab you must inform the sampling time. Matlab will automatically know that you are using a discrete variable. The command rlocus will draw your root locus for your z variable.
 

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