Consider the following block diagram representing the unity feedback control system, as shown in Fig. 3. F(s) Y(s) G(s) Figure 3: The Unity Feedback Control System. i) Show that the overall transfer function is given by $\frac{G(s)}{1+G(s)}$ ii) Given that $G(s) = \frac{6s+2}{s^2-2s+1}$ Find the poles and zeros of the overall transfer function.
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In this case, we have: H(s) = G(s) * F(s) * Y(s) Since it is a unity feedback system, F(s) = 1. Therefore, the overall transfer function becomes: H(s) = G(s) * Y(s) Show more…
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