Consider the feedback control system below. The transfer functions of the blocks in the diagram aregiven as follows: G_{c}=K_{c} \quad G_{v}=1 \quad G_{p}=G_{d}=\frac{1}{(s+1)} \quad G_{m}=\frac{1}{(5 s+1)} Using the block diagram above define and give examples of the following variables: 1. Controlled variable (CV) 2. Manipulated variable (MV) 3. Disturbance variable (DV) or "load variable" b)Determine the transfer function Y1/Y1sp. c)Determine the transfer function Y1/D. d)How is the error E computed? e)Determine the characteristic equation of the block diagram. f)Find the values of Ke for which the closed-loop system produces stable responses.

Fig: 1

Fig: 2

Fig: 3

Fig: 4

Fig: 5

Fig: 6

Fig: 7

Fig: 8

Fig: 9

Fig: 10

Fig: 11

Fig: 12

Fig: 13