Question: A control system has two forward paths, as shown in Figure P4.4. (a) Determine the overall transfer function T1s2 = Y1s2>R1s2. (b) Calculate the sensitivity,
A control system has two forward paths, as shown in Figure P4.4.
(a) Determine the overall transfer function T1s2 = Y1s2>R1s2.
(b) Calculate the sensitivity, SG T , using Equation (4.16).
(c) Does the sensitivity depend on U1s2 or M1s2?

M(s) R(s) U(s) Q(s) G(s) Input Y(s) Output FIGURE P4.4 Two-path system.
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