Control Systems Questions and Answers – Time Response of Second Order Systems – I

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

1. Which of the following transfer function will have the greatest maximum overshoot?
a) 9/(s²+2s+9)
b) 16/(s²+2s+16)
c) 25/(s²+2s+25)
d) 36/(s²+2s+36)
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2. 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)
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Answer: b
Explanation:
Laplace transforming
sY(s) + 2Y(s)=4/s²
Taking the inverse Laplace transform the forced term is 2t u(t).

3. 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
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Answer: c
Explanation:
From question g1 = 1, k1 = x ,k2 = 2x then we need to find g2 .
By substituting all these values the g2 values would lies between 0 and 1.

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
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5. The damping ratio and peak overshoot are measures of:
a) Relative stability
b) Speed of response
c) Steady state error
d) Absolute stability
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6. Find the type and order of the system given below:

a) 2,3
b) 2,2
c) 3,3
d) None of the mentioned
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7. 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
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8. 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
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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
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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
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Sanfoundry Global Education & Learning Series – Control Systems.
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