Matlab help (Root Locus using Z Domain)

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SUMMARY

This discussion focuses on plotting the root locus of an open loop transfer function in the z-domain using MATLAB. The user has already derived the characteristic equation and seeks guidance on utilizing MATLAB for visualization. It is confirmed that the command rlocus can be employed to plot the root locus for discrete systems, provided that the sampling time is specified to inform MATLAB of the discrete nature of the variable.

PREREQUISITES
  • Understanding of z-domain transfer functions
  • Familiarity with MATLAB software
  • Knowledge of root locus concepts
  • Ability to derive characteristic equations
NEXT STEPS
  • Explore MATLAB's rlocus function in detail
  • Learn about specifying sampling time in MATLAB for discrete systems
  • Research differences between root locus in z-domain and s-domain
  • Investigate additional MATLAB commands for control system analysis
USEFUL FOR

Control system engineers, MATLAB users, and students studying discrete-time systems who are looking to visualize root locus plots effectively.

Ethers0n
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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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