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National Champion Test EC: Control Systems
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Question 1
In the following figure, C1 and C2 are ideal capacitors. C1 has been charged to 12 V before the ideal switch S is closed at t = 0. The current i(t) for all t is
Question 2
The root locus plot for a system is given below. The open loop transfer function corresponding to this plot is given by
Question 3
If the closed-loop transfer functions of a control system is given as 
, then its is
Question 4
Consider the system 
and 
and 
where p and q are arbitrary real numbers. Which of the following statements about the controllability of the system is true?
and and where p and q are arbitrary real numbers. Which of the following statements about the controllability of the system is true? Question 5
The number of open right half plane poles of 
is
is Question 6
A linear system is described by the following state equation
The state-transition matrix of the system is:
The state-transition matrix of the system is:
Question 7
The transfer function of a compensator is given as 
Gc(s) is a lead compensator if
Gc(s) is a lead compensator if
Question 8
The unit step response of an under damped second order system has steady state value of –2. Which one of the following transfer function has these properties?
Question 9
The asymptotic Bode plot of a transfer function is as shown in the figure. The transfer function G(s) corresponding to this Bode plot is:
Question 10
The Nyquist sampling rate for the signal
is given by
is given by
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Feb 11ESE & GATE EC
