A physical system is translated into functional block diagram of the type shown in the Fig.39. The command input \(r(t)\) and controlled output \(c(t)\) of this system are given by

(a) \(\frac{C(s)}{R(s)}=\frac{G(s)}{1+\frac{G(s)}{H(s)}}\)

(b) \(\frac{C(s)}{R(s)}=\frac{H(s)}{1+G(s) H(s)}\)

(c) \(\frac{C(s)}{R(s)}=\frac{G(s)}{1-G(s) H(s)}\)

(d) \(\frac{C(s)}{R(s)}=\frac{G(s)}{1-G(s) H(s)}\).

Transcribed Image Text:

R(s) E(s) C(s) G(s) B(s) H(s) Fig.39