1
GATE EE 2014 Set 2
Numerical
+2
-0
An oscillator circuit using ideal op-amp and diodes is shown in the figure. GATE EE 2014 Set 2 Analog Electronics - Feedback Amplifiers and Oscillator Circuits Question 6 English

The duration for $$+ve$$ part of the cycle $$\Delta {t_1}$$ and for $$-ve$$ part is $$\Delta {t_2}.$$ The value of $$e$$ $${{\Delta {t_2} - \Delta {t_1}} \over {RC}}$$ will be _______.

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2
GATE EE 2014 Set 2
MCQ (Single Correct Answer)
+2
-0.6
The second order dynamic system $${{dX} \over {dt}} = PX + Qu,\,\,\,y = RX$$ has the matrices $$P,Q,$$ and $$R$$ as follows: $$P = \left[ {\matrix{ { - 1} & 1 \cr 0 & { - 3} \cr } } \right]\,\,Q = \left[ {\matrix{ 0 \cr 1 \cr } } \right]$$
$$R = \left[ {\matrix{ 0 & 1 \cr } } \right]$$ The system has the following controllability and observability properties:
A
Controllable and observable
B
Not controllable but observable
C
Controllable but not observable
D
Not controllable and not observable
3
GATE EE 2014 Set 2
Numerical
+1
-0
The closed-loop transfer function of a system is $$T\left( s \right) = {4 \over {\left( {{s^2} + 0.4s + 4} \right)}}.$$ The steady state error due to unit step input is ________
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4
GATE EE 2014 Set 2
Numerical
+2
-0
A system with the open loop transfer function $$G\left( s \right) = {K \over {s\left( {s + 2} \right)\left( {{s^2} + 2s + 2} \right)}}$$ is connected in a negative feedback configuration with a feedback gain of unity. For the closed loop system to be marginally stable, the value of $$K$$ is ________.
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