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Engineering and Comp Sci Homework Help
Can I use root locus when the input is the negative feedback?
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[QUOTE="curiousPep, post: 6851139, member: 690381"] [B]Homework Statement:[/B] I have the ODE $$m*y''+c_v*y'+c_p*u = c_p*u$$, where u = -k*y. I need to identify the range of static feedback gains u = −ky that guarantee stability of the closed loop system. [B]Relevant Equations:[/B] $$T_{u \to y}(s) = \frac{1}{s^{2}m+c_{v}s+c_{p}}$$ I have used root locus before but my confusion now is that the input is the negative feedback. Usually when I have negative feedback I consider the the error between the input (ideal) signal and the observed signal. Also, in this case what is the tranfer function since u = -k*y, and what does the transfer function represent since the only variable is the equation is y? For the case where we use the equation m*y''+c_v*y'+c_p*u = c_p*u, the transfer fucntion is $$T_{u \to y}(s) = \frac{1}{s^{2}m+c_{v}s+c_{p}}$$. I am no sure what to do when I consider u = -k*y. Can someone provide me some hints please? [/QUOTE]
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Engineering and Comp Sci Homework Help
Can I use root locus when the input is the negative feedback?
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