GATE EE 2007 | Controller and Compensator Question 9 | Control Systems

GATE EE 2007

MCQ (Single Correct Answer)

-0.6

The system $$900/s(s+1)(s+9)$$ is to be such that its gain crossover frequency becomes same as its uncompensated phase crossover frequency and provides at $${45^0}$$ phase margin . To achieve this, one may use

a lag compensator that provides an attenuation of $$20dB$$ and a phase lag of $${45^0}$$ at the frequency of $$3\sqrt 3 $$ rad/s

a lead compensator that provides an amplification of $$20dB$$ and a phase lead of $${45^0}$$ at the frequency of $$3$$ rad/s

a lag - lead compensator that provides an amplification of $$20dB$$ and a phase alg of $${45^0}$$ at the frequency of $$\sqrt 3 $$ rad/s

a lag - lead compensator that provides an attenuation of $$20dB$$ and phase lead of $${45^0}$$ at the frequency of $$3$$ rad/s

GATE EE 2000

MCQ (Single Correct Answer)

-0.6

$$D\left( s \right) = {{\left( {0.5s + 1} \right)} \over {\left( {0.05s + 1} \right)}}$$ Maximum phase lead of the compensator is

$$52$$ deg at 4 rad/sec

$$52$$ deg at $$10$$ rad/sec

$$55$$ deg at $$12$$ rad/sec

none of the answers is correct

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