This set of Control Systems Multiple Choice Questions & Answers (MCQs) focuses on “Time Response of Second Order Systems – I”.

1. A system generated by The ramp component in the forced response will be:

a) t u(t)

b) 2t u(t)

c) 3t u(t)

d) 4t u(t)

2. The system in originally critically damped if the gain is doubled the system will be :

a) Remains same

b) Overdamped

c) Under damped

d) Undamped

3. Which of the following transfer function will have the greatest maximum overshoot?

a) 9/(s^{2}+2s+9)

b) 16/(s^{2}+2s+16)

c) 25/(s^{2}+2s+25)

d) 36/(s^{2}+2s+36)

4. Let c(t) be the unit step response of a system with transfer function K(s+a)/(s+K). If c(0+) = 2 and c(∞) = 10, then the values of a and K are respectively.

a) 2 and 10

b) -2 and 10

c) 10 and 2

d) 2 and -10

5. Find the type and order of the system given below:

a) 2,3

b) 2,2

c) 3,3

d) None of the mentioned

6. The forward path transfer function is given by G(s) = 2/s(s+3). Obtain an expression for unit step response of the system.

a) 1+2e^{-t}+e^{-2t}

b) 1+e^{-t}-2e^{-2t}

c) 1-e^{-t}+2e^{-2t}

d) 1-2e^{-t}+e^{+2t}

7. The damping ratio and peak overshoot are measures of:

a) Relative stability

b) Speed of response

c) Steady state error

d) Absolute stability

8. A system has a complex conjugate root pair of multiplicity two or more in its characteristic equation. The impulse response of the system will be:

a) A sinusoidal oscillation which decays exponentially; the system is therefore stable

b) A sinusoidal oscillation with a time multiplier ; the system is therefore unstable

c) A sinusoidal oscillation which rises exponentially ; the system is therefore unstable

d) A dc term harmonic oscillation the system therefore becomes limiting stable

9. Find the initial and final values of the following function:

F(s) = 12(s+1)/s(s+2)^2(s+3)

a) 1,∞

b) 0,∞

c) ∞,1

d) 0,1

10. The step response of the system is c(t) = 10+8e^{-t}-4/8e^{-2t} . The gain in time constant form of transfer function will be:

a) -7

b) 7

c) 7.5

d) -7.5