Inputting Transfer Functions in MATLAB - Rob's Guide

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SUMMARY

This discussion focuses on inputting transfer functions into MATLAB to determine closed-loop transfer functions. The specific transfer function mentioned is G(p) = 1/s(1+0.8+0.04s^2). User Rob shares a MATLAB command for defining the transfer function as A = tf([1],[0.04 0.8 1]). Additionally, the command for generating the root locus is provided as rlocus(A), indicating that the system remains stable in the left half-plane (LHP) for all positive gain values.

PREREQUISITES
  • Basic understanding of transfer functions
  • Familiarity with MATLAB software
  • Knowledge of control system stability concepts
  • Experience with MATLAB's Control System Toolbox
NEXT STEPS
  • Learn how to manipulate transfer functions in MATLAB using the tf function
  • Explore MATLAB's Control System Toolbox for advanced control techniques
  • Study the root locus method for analyzing system stability
  • Investigate closed-loop control system design in MATLAB
USEFUL FOR

This discussion is beneficial for control engineers, MATLAB users, and students learning about control systems who need guidance on inputting transfer functions and analyzing system stability.

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I have only basic MATLAB skills and need to input to transfer functions into MATLAB to determine a closed loop transfer function! But cannot find any simple books or guides to show me how to input the functions! One of the transfer functions i wish to input is:

G(p)=1/s(1+0.8+0.04s^2)

Some help of the method of inputing this, would be greatly apricated!

Cheers
Rob
 
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A=tf([1],[0.04 0.8 1])

If you want the root locus just type in

rlocus(A)

Your system appears to always be stable and in the LHP for all positive values of gain K.
 
Last edited:

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