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

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The discussion focuses on obtaining MATLAB code to draw the root locus for a unity feedback transfer function characterized by the equation s^5 + 600s^4 + 50000s^3 + ks^2 + 24ks + 80k = 0. Participants seek guidance on determining the range of K that ensures system stability. The Control Toolbox's rlocus function is highlighted as a useful tool for this analysis, along with links to tutorials for its application. The conversation emphasizes the importance of understanding the relationship between the parameter K and system stability in control theory. Overall, the thread aims to assist in visualizing and analyzing system behavior through root locus techniques.
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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