MCQOPTIONS
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MCQOPTIONS
This section includes 59 Mcqs, each offering curated multiple-choice questions to sharpen your Control Systems knowledge and support exam preparation. Choose a topic below to get started.
| 51. |
Consider the system described by following state space equations\(\left[ {\begin{array}{*{20}{c}}{{{\dot x}_1}}\\{{{\dot x}_2}}\end{array}} \right] = \left[ {\begin{array}{*{20}{c}}0&1\\{ - 1}&{ - 1}\end{array}} \right]\left[ {\begin{array}{*{20}{c}}{{x_1}}\\{{x_2}}\end{array}} \right] + \left[ {\begin{array}{*{20}{c}}0\\1\end{array}} \right]u;y = \left[ {\begin{array}{*{20}{c}}1&0\end{array}} \right]\left[ {\begin{array}{*{20}{c}}{{x_1}}\\{{x_2}}\end{array}} \right]\)If u is unit step input, then the steady state error of the system is |
| A. | 0 |
| B. | 1/2 |
| C. | 2/3 |
| D. | 1 |
| Answer» B. 1/2 | |
| 52. |
Consider a causal second-order system with the transfer function \(G\left( s \right) = \frac{1}{{1 + 2s + {s^2}}}\) with a unit-step \(R\left( s \right) = \frac{1}{s}\) as an input. Let C(s) be the corresponding output. The time taken by the system output c(t) to reach 94% of its steady-state value \(\mathop {\lim }\limits_{t \to \infty } c\left( t \right)\), rounded off to two decimal places, is |
| A. | 5.25 |
| B. | 4.50 |
| C. | 3.89 |
| D. | 2.81 |
| Answer» C. 3.89 | |
| 53. |
A unity feedback second order control system is characterized by the open loop transfer function \(\left( s \right) = \frac{K}{{s\left( {Js + B} \right)}}\)J = moment of inertia, B = damping constant and K = system gainThe transient response specification which is not affected by system gain variation is |
| A. | Peak overshoot |
| B. | Rise time |
| C. | Settling time |
| D. | Time to peak overshoot |
| Answer» D. Time to peak overshoot | |
| 54. |
Consider a system with transfer function \(H(s)=\frac{(3s^2-2)}{(s^2+3s+2)} \) .The step response of the system is given by |
| A. | C(t) = 5e-2t – e-t -1 |
| B. | C(t) = 3δ (t) – 10e-2t + e-t |
| C. | C(t) = 4e-t – e-2t - 1 |
| D. | C(t) = 2(1 – e-2t) |
| Answer» B. C(t) = 3δ (t) – 10e-2t + e-t | |
| 55. |
If the damping ratio ζ is equal to 0 then what will be the maximum overshoot? |
| A. | 0.001% |
| B. | 50% |
| C. | 100% |
| D. | 25% |
| Answer» D. 25% | |
| 56. |
A two stage amplifier with negative feedback has an overshoot when damping factor K is: |
| A. | Less than unity |
| B. | Greater than unity |
| C. | Zero |
| D. | Negative |
| Answer» B. Greater than unity | |
| 57. |
In a unity feedback control system with \(G(s) = \frac{4}{{{s^2} + 0.4s}}\) when subjected to unit step input, it is required that system response should be settled within 2% tolerance band; the system settling time is: |
| A. | 1 sec |
| B. | 2 sec |
| C. | 10 sec |
| D. | 20 sec |
| Answer» E. | |
| 58. |
A unity feedback system is given by\(G\left( s \right) = \frac{{10\left( {s + 2} \right)}}{{{s^2}\left( {s + 5} \right)}}\)For input, r(t) = 1 + 2t, t > 0 the steady state error e(t) is: |
| A. | infinity |
| B. | zero |
| C. | six |
| D. | five |
| Answer» C. six | |
| 59. |
If the natural frequency of oscillation ωn = 13 rad/sec and damping ratio ξ is 0.8 then find the peak time. |
| A. | 12 sec |
| B. | 0.002 sec |
| C. | 3 sec |
| D. | 0.4 sec |
| Answer» E. | |