Question

1. (40 points). The block diagram of a motor control system with tachometer feedback is shown in the figure. a) Find the transfer function Y(S)/R(S) using the flow graph method. b) Apply Routh-Hurwitz criterion to find the range of K, so that the system is stable. 2. (20 points) For a unity feedback system, where G(S) = K(S+2)(S+4)(S+6)/S²(S+5)(S+7) Find the value of K to yield a static error constant of 10,000. 3. (40 points) A unity feedback control system has the forward-path transfer function given by G(S) = K/S(S+10)(S+20) Construct the root-locus diagram for K \geq 0. Indicate the angle of departure of the asymptotes, the point where the root-locus intercepts the $j\omega$-axis and the value of K at this point.

          1. (40 points).
The block diagram of a motor control system with tachometer feedback is
shown in the figure.
a) Find the transfer function Y(S)/R(S) using the flow graph method.
b) Apply Routh-Hurwitz criterion to find the range of K, so that the system
is stable.
2. (20 points)
For a unity feedback system, where
G(S) = K(S+2)(S+4)(S+6)/S²(S+5)(S+7)
Find the value of K to yield a static error constant of 10,000.
3. (40 points)
A unity feedback control system has the forward-path transfer function
given by
G(S) = K/S(S+10)(S+20)
Construct the root-locus diagram for K \geq 0. Indicate the angle of departure of
the asymptotes, the point where the root-locus intercepts the $j\omega$-axis and the
value of K at this point.

1. (40 points).
The block diagram of a motor control system with tachometer feedback is
shown in the figure.
a) Find the transfer function Y(S)/R(S) using the flow graph method.
b) Apply Routh-Hurwitz criterion to find the range of K, so that the system
is stable.
2. (20 points)
For a unity feedback system, where
G(S) = K(S+2)(S+4)(S+6)/S²(S+5)(S+7)
Find the value of K to yield a static error constant of 10,000.
3. (40 points)
A unity feedback control system has the forward-path transfer function
given by
G(S) = K/S(S+10)(S+20)
Construct the root-locus diagram for K ≥0. Indicate the angle of departure of
the asymptotes, the point where the root-locus intercepts the jω-axis and the
value of K at this point.

Added by Katherine K.

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