GATE ECE 2005 | GATE ECE Year Wise Previous Years Questions

GATE ECE 2005

MCQ (Single Correct Answer)

-0.6

A ramp input applied to an unity feedback system results in 5% steady state error. The type number and zero frequency gain of the system are respectively.

1 and 20

0 and 20

0 and 1/20

1 and 1/20

GATE ECE 2005

MCQ (Single Correct Answer)

-0.3

Despite the presence of negative feedback, control systems still have problems of instability because the

Components used have nonlinearities.

Dynamic equations of the subsystems are not known exactly.

Mathematical analysis involves approximations.

System has large negative phase angle at high frequencies.

GATE ECE 2005

MCQ (Single Correct Answer)

-0.3

A linear system is equivalently represented by two sets of state equations. $$\mathop x\limits^ \bullet = \,\,{\rm A}X\,\, + BU$$ and $$\mathop W\limits^ \bullet = \,\,CW\,\, + DU.$$ The eigen values of the representations are also computed as $$\left[ \lambda \right]\,\,\,\,and\,\,\,\,\left[ \mu \right].$$ Which one of the following statements is true?

$$\left[ \lambda \right]\, = \,\left[ \mu \right]\,\,and\,X\, = W$$

$$\left[ \lambda \right]\, = \,\left[ \mu \right]\,\,and\,X\, \ne W$$

$$\left[ \lambda \right]\, \ne \,\left[ \mu \right]\,\,and\,X\, = W$$

$$\left[ \lambda \right]\, \ne \,\left[ \mu \right]\,\,and\,X\, \ne W$$

GATE ECE 2005

MCQ (Single Correct Answer)

-0.6

A double integrator plant, $$G(s) = {K \over {{s^2}}},H(s) = 1$$ is to be compensated to achieve the damping ratio $$\zeta = 0.5$$ and an undamped natural frequency, $${\omega _n} = 5$$ rad/sec. Which one of the following compensator $${G_c}(s)$$ will be suitable?

$${{s + 3} \over {s + 9.9}}$$

$${{s + 9.9} \over {s + 3}}$$

$${{s - 6} \over {s + 8.33}}$$

$${{s + 6} \over s}$$

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