Code:syms s K; solve('s^5 + s^4 + 4*s^3 + 4*K*s^2 + 2*K*s + K','K')
I have an equation
q(s) = s^5 + s^4 + 4s^3 + 4Ks^2 + 2Ks + K
The answer I have indicated is 0.5361 < K < 0.9326.
Can this be done in Matlab, and if so how?
My apologies I am still feeling my way through Matlab.
Using your code pickslides I get
-(s^5 + s^4 + 4*s^3)/(4*s^2 + 2*s + 1)
To me that has not solved for K. The other way to my thinking is to go through the Routh array but for such a complex function this seems daunting and time consuming...and that's assuming it is even possible that way.
For example do you mean find such that:
(which is verging on the trivial, so not likely to be what you mean)
s^5 + s^4 + 4s^3 + 2Ks + K = 0 is the denominator of a given transfer function.
The question asks to find out whether the system is stable using the Routh Hurwitz criterion, then determine its range of stability for K > 0. I thought it may be possible to be done on Matlab...
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Comparing (1) and (2) we arrive to the following system of equation...
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... the solutions of which are...