# Electronics and Communication Engineering - Automatic Control Systems

Exercise : Automatic Control Systems - Section 1
1.
For the system in the given figure the characteristic equation is   K(s + 1)(s + 3) = 0
s(s + 2) = 0
Explanation:

Transfer function = .

Hence characteristic equation is .

2.
Mechanical impedance is the ratio of
rms force to rms velocity
rms force to rms displacement
rms velocity to rms displacement
none of the above
Explanation:

In force voltage analogy force is analogous to voltage and velocity to current. Just as , force/velocity = mechanical impedance.

3.
For the system in the given figure. The transfer function C(s)/R(s) is G1 + G2 + 1
G1 G2 + 1
G1 G2 + G2 + 1
G1 G2 + G1 + 1
Explanation:

Transfer function = (G1 + 1) G2 + 1 = G1 G2 + G2 + 1.

4.
Whether a linear system is stable or unstable that it
is a property of the system only
depends on the input function only
both (a) and (b)
either (a) or (b)
Explanation:

Stability is a property of the system only.

5.
For the system of the given figure the transfer function =      , E0(s) = [I(s)][Z2(s)] or .