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__Control System Solved Competitive Questions:__

[1] An open loop system represented by the transfer function G(s) = (s-1) / (s+2)(s+3) is__Control System Solved Competitive Questions:__

(a) Stable and of the minimum phase type

(b) Stable and of the non-minimum phase type

(c) Unstable and of the minimum phase type

(d) Unstable and of the non-minimum phase type

[2] The open loop transfer function G(s) of a unity feedback control system is given as,

G(s) = [ k(s+2/3) / s

^{2}(s+2) ]

From the root locus, it can be inferred that when k tends to positive infinity,

(a) Three roots with nearly equal real parts exist on the left half of the s-plane

(b) One real root is found on the right half of the s-plane

(c) The root loci cross the jω axis for a finite value of k; k≠0

(d) Three real roots are found on the right half of the s-plane

[3] Given that

then the value of A

^{3}is [GATE2012]
(a) 15A+12I

(b) 19A+30I

(c) 17A+15I

(d) 17A+21I

[4] The matrix [A]=

is decomposed into a product of a lower triangular matrix [L] and an upper triangular matrix [U]. The properly decomposed[L] and [U] matrices respectively are............The options A,B,C,D are given below.

[5] The input x(t) of a system are related as y(t) = ∫

^{t}

_{-∞ }x(τ)cos(3τ)dτ. The system is [GATE2012]

(a) Time-invariant and stable

(b) Stable and not time-invariant

(c) Time-invariant and not stable

(d) Not time-invariant and not stable

[6]The feedback system shown below oscillates at 2 rad/s when [GATE2012]

(b) k=3 and a=0.75

(c) k=4 and a=0.5

(d) k=2 and a=0.5

[7] The Fourier transform of a signal h(t) is H(jω) = (2cosω)(sin2ω)/ω. The value of h(0) is [GATE2012]

(a) 1/4

(b) 1/2

(c) 1

(d) 2

[8] The state variable description of an LTI system is given by

where y is the output and u is the input.The system is controllable for, [GATE2012]

(a) a1≠0,a2=0,a3≠0

(b) a1~~=~~0,a2=0,a3≠0

(c) a1~~=~~0,a2=0,a3=0

(d) a1≠0,a2≠0,a3=0

[9] The state transition diagram for the logic circuit shown is [GATE2012]

[10] Given that

then the value of A

^{3}is [GATE2012]
(a) 15A+12I

(b) 19A+30I

(c) 17A+15I

(d) 17A+21I

[11] The differentiator has a transfer function whose [Gate 1997]

(a) Phase increases linearly with frequency

(b) Amplitude remains constant

(c) Amplitude increases linearly with frequency

(d) Amplitude decreases linearly with frequency

[12] Introduction of integral action in the forward path of a unity feedback system results in a [Gate 1997]

(a) Marginally stable system

(b) System with no steady state error

(c) System with increase stability margin

(d) System with better speed of response

question No.11 is wrong as frequency increases magnitude increases and the phase remains constant so correct option is C

ReplyDeleteQuestion No.12 is wrong as integral action introduces error decreases and accuracy increases and the stability is decreases so the correct option is B

ReplyDelete