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1

GATE EE 2005

MCQ (Single Correct Answer)
When subjected to a unit step input, the closed loop control system shown in the figure will have a steady state error of
A
$$-1.0$$
B
$$-0.5$$
C
$$0$$
D
$$0.5$$
2

GATE EE 2004

MCQ (Single Correct Answer)
The block diagram of a closed loop control system is given by figure. The values of $$K$$ and $$P$$ such that the system has a damping ratio of $$0.7$$ and an undamped natural frequency $${\omega _n}$$ of $$5$$ rad/sec, are respectively equal to
A
$$20$$ and $$0.3$$
B
$$20$$ and $$0.2$$
C
$$25$$ and $$0.3$$
D
$$25$$ and $$0.2$$
3

GATE EE 2004

MCQ (Single Correct Answer)
The unit impulse response of a second order under-damped system starting from rest is given by $$c\left( t \right) = 12.5{e^{ - 6t}}\,\sin 8t,\,\,t \ge 0.$$
The steady-state value of the unit step response of the system is equal to
A
$$0$$
B
$$0.25$$
C
$$0.5$$
D
$$1.0$$
4

GATE EE 2003

MCQ (Single Correct Answer)
A control system with certain excitation is governed by the following mathematical equation $$${{{d^2}x} \over {d{t^2}}} + {1 \over 2}{{dx} \over {dt}} + {1 \over {18}}x = 10 + 5{e^{ - 4t}} + 2{e^{ - 5t}}$$$
The natural time constants of the response of the system are
A
$$2s$$ and $$5s$$
B
$$3s$$ and $$6s$$
C
$$4s$$ and $$5s$$
D
$$1/3s$$ and $$1/6s$$

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