Root Locus of Unity Feedback Transfer Function: Find K Range for Stability

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SUMMARY

The discussion focuses on using MATLAB to analyze the stability of a unity feedback transfer function characterized by the equation s^5 + 600s^4 + 50000s^3 + ks^2 + 24ks + 80k = 0. Participants emphasize the importance of the Control Toolbox's rlocus function for drawing the root locus and determining the range of K that maintains system stability. The provided resources include links to the MATLAB documentation and a tutorial on the rlocus function.

PREREQUISITES
  • Understanding of control systems and stability analysis
  • Familiarity with MATLAB and its Control Toolbox
  • Knowledge of root locus techniques
  • Basic concepts of characteristic equations in control theory
NEXT STEPS
  • Explore MATLAB's Control Toolbox, specifically the rlocus function
  • Study the stability criteria for polynomial equations
  • Learn how to interpret root locus plots for system stability
  • Investigate the effects of varying K on system response
USEFUL FOR

Control engineers, MATLAB users, and students studying control systems who need to analyze the stability of unity feedback systems.

muh_j18
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I want a MATLAB code to draw the root locus for a characteristic equation of a transfer function of unity feedback, also what is the range of K that keeps the system stable , here is the characteristic equation:

s^5+600s^4+50000s^3+ks^2+24ks+80k=0
please help, thanks in previous
 
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muh_j18 said:
I want a MATLAB code to draw the root locus for a characteristic equation of a transfer function of unity feedback, also what is the range of K that keeps the system stable , here is the characteristic equation:

s^5+600s^4+50000s^3+ks^2+24ks+80k=0
please help, thanks in previous

The Control Toolbox rlocus function:
http://www.mathworks.com/access/helpdesk/help/toolbox/control/ref/rlocus.html

...And a brief tutorial on its use:
http://www.engin.umich.edu/group/ctm/rlocus/rlocus.html
 
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