Control System Objective Questions from Competitive Exams (GATE, IES)
s3 2 2
s2 4 4
This means there are [GATE 2009]
(a) Two roots at s =± j and one root in right half s-plane
(b) Two roots at s =± j2 and one root in left half s- plane
(c) Two roots at s = ±j2 and one root in right half s-plane
(d) Two roots at s =± j and one root in left half s-plane
[2] The asymptotic approximation of the log magnitude vs frequency plot of a system containing only real poles and zeros is shown. Its transfer function is [GATE 2009]
(a) [10(s+5)]/[s(s+2)(s+25)]
(b) [1000(s+5)]/[s2(s+2)(s+25)]
(c) [100(s+5)]/[s(s+2)(s+25)]
(d) [80(s+5)]/[s2(s+2)(s+25)]
[3] The trace and determinant of a 2x2 matrix are known to be -2 and -35 respectively. Its eigen values are [GATE 2009]
(a) -30 and -5
(b) -37 and -1
(c) -7 and 5
(d) 17.5 and -2
(b) y(2(t-Ï„))
(c) y(t-Ï„)
(d) y(t-2Ï„)
[4] A Linear Time Invariant system with an impulse response h(t) produces output y(t) when input x(t) is applied. When the input x(t-Ï„) is applied to a system with impulse response h(t-Ï„), the output will be [GATE 2009]
(a) y(t)(b) y(2(t-Ï„))
(c) y(t-Ï„)
(d) y(t-2Ï„)
[5] For the Y-bus matrix of a 4-bus system given in per unit, the buses having shunt elements are [GATE 2009]
(b) 2 and 3
(c) 1 and 2
(d) 1,2 and 4
[6] The unit step response of a unity feedback system with open loop transfer function G(s) = K / ((s+1)(s +2)) is shown in the figure. The value of K is
(b) 2
(c) 4
(d) 6
[7] For the driving point impedance function, Z(s)=[as2+7s+3]/[s2+3s+b], the circuit realization is shown below. The values of 'a' and 'b' respectively are [IES2010]
(a) 4 and 5
(b) 2 and 5
(c) 2 and 1
(d) 2 and 3
[8] For the following driving point impedance functions, which of the following statements is true? [IES2010]
Z1(s)=(s+2)/(s2+3s+5)
Z2(s)=(s+2)/(s2+5)
Z3(s)=(s+2)/(s2+2s+1)
Z4(s)=(s+2)(s+4)/(s+1)(s+3)
(a) Z1 is not positive real
(b) Z1 is positive real
(c) Z3 is positive real
(d) Z4 is positive real
[9] The steady state error of a unity feedback linear system for a unit step input is 0.1. The steady state error of the same system, for a pulse input r(t) having a magnitude of 10 and a duration of one second, as shown in the figure is [GATE2011]
(a) 0(b) 0.1
(c) 1
(d) 10
[10] A point z has been plotted in the complex plane, as shown in figure below [GATE2011]
The plot of the complex number y=1/z is...........The options A,B,C,D are given below.
The plot of the complex number y=1/z is...........The options A,B,C,D are given below.
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