Question: A unity-feedback control system is shown in Figure P6.6. Determine the relative stability of the system with the following transfer functions by locating the complex

A unity-feedback control system is shown in Figure P6.6. Determine the relative stability of the system with the following transfer functions by locating the complex roots in the s-plane:
(a) Gc(s)G(s) = 10s + 2/s2(s + 1)
(b) Gc(s)G(s) = 24/s(s3 + 10s2 + 35s + 50)
(c) Gc(s)G(s) = (s + 2)(s + 3)/s(s + 4)(s + 6)
Figure P6.6
Unity feedback system.

Controller Process r(s)

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