81. Consider the following statements with reference to frequency-domain approaches to analysis of feedback to control system
1. The approach needs and accurate mathematical description of the system
2. The method is independent of the complexity of systems
3. The method gives an approach for trial and error design
Which of the above statements are correct?
1. The approach needs and accurate mathematical description of the system
2. The method is independent of the complexity of systems
3. The method gives an approach for trial and error design
Which of the above statements are correct?
82. The transfer function of a plant is $$T\left( s \right) = \frac{5}{{\left( {s + 5} \right)\left( {{s^2} + s + 1} \right)}}.$$ The second-order approximation of T(s) using dominant pole concept is
83. The correct sequences of steps needed to improve system stability is:
84. The phase-lead network function $${G_C}\left( s \right) = \frac{{s + \frac{1}{T}}}{{s + \frac{1}{{aT}}}},$$ where a < 1 would provide maximum phase-lead at a frequency of:
85. Identify the matrix that can be a state transition matrix.
86. Consider the following information regards open loop frequency response of a unity feedback system
ω
|G(j)|
∠G(j)
2
7.5
-118°
3
4.8
-130°
4
3.15
-140°
5
2.25
-150°
6
1.70
-157°
8
1.00
-170°
10
0.64
-180°
The gain and phase margin of the system are respectively:
| ω | |G(j)| | ∠G(j) |
| 2 | 7.5 | -118° |
| 3 | 4.8 | -130° |
| 4 | 3.15 | -140° |
| 5 | 2.25 | -150° |
| 6 | 1.70 | -157° |
| 8 | 1.00 | -170° |
| 10 | 0.64 | -180° |
87. A control system has $$G\left( s \right)H\left( s \right) = \frac{{K\left( {s + 1} \right)}}{{s\left( {s + 3} \right)\left( {s + 4} \right)}}.$$ Root locus of the system can lie on the real axis
88. The unit step response of a particular control system is given by c(t) = 1 - 10e-t. Then its transfer function is:
89. Due to derivative control, the steady-state error is
90. The characteristic equation of a closed loop system is given by s4 + 6s3 + 11s2 + 6s + k = 0
Stable closed loop behavior can be ensured when gain k is such that
Stable closed loop behavior can be ensured when gain k is such that
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