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# Plot root locus using Maple watch

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1. Not sure if this is right forum to post this in, it's about control, in particular plotting root locus.

I've been given the following function (known as Nomoto's equation):

[-K(1 + t3s)]/[(1 + t1s)(1 + t2s)]

where t1 = 23.71 sec, t2 = -2446.4 sec, t3 = 35.69 sec, K = 0.474 sec^-1 and T(g) = 11 sec.

and also the following transfer function:

--> 0.05/(1 + T(g)s) -->

I need to plot the root locus for the system. I realise that I need to obtain a numerator and denominator, both of which should be a polynomial in s. I think after that I need to define the Closed Loop Transfer Function and find the poles, but I'm not worried about that at the moment.

I just want to know how to get these polynomials in s? Do I need to use partial fractions on Nomoto's equation? This control module is part of my maths degree (strange I know) and therefore engineering is NOT my strong point. Could any guide me in the right direction?
2. No one remotely familiar with this topic?

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Updated: November 20, 2008
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