Consider a modular robotic system that is described as follows: [K G(s)=frac{K(s+2)}{s(s-1)(s+6)^{2}}] (a) Draw the root locus

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Consider a modular robotic system that is described as follows:

\[K G(s)=\frac{K(s+2)}{s(s-1)(s+6)^{2}}\]

(a) Draw the root locus for the system.

(b) Verify that the root locus does not cross the imaginary axis by using the Routh-Hurwitz array.

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