**5.1.** Assume that the system shown in Figure P5.1 has the following characteristics:

*K*_{1} = 10 V/rad,*K*_{2} = 10 V/rad,*G*(*s*) =

**(a)** Determine the sensitivity of the system’s transfer function *H*(*s*) with respect to the input transducer, *K*_{1}.

**(b)** Determine the sensitivity of the system’s transfer function *H*(*s*) with respect to the feedback transducer, *K*_{2}.

**(c)** Determine the sensitivity of the system’s transfer function *H*(*s*) with respect to *G*(*s*)

**(d)** Indicate qualitatively the frequency dependency of

**5.2.** For the system in Figure P5.2, assume the following characteristics:

**(a)** Determine the sensitivity of the system’s transfer function *H*(*s*) with respect to *G*_{1}(*s*) at *ω* = 1 rad/sec.

**(b)** Determine the sensitivity of the system’s transfer function *H*(*s*) with respect to *G*_{2}(*s*) at *ω* = 1 rad/sec.

**(c)** Determine the sensitivity of the system’s transfer function *H*(*s*) with respect to *H*_{2}(*s*) at *ω* = 1 rad/sec.

**(d)** Determine the sensitivity of the system’s transfer function

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