Test 4 - Control System | Electronics and Communication (ECE)
| Description: Topic wise test 4 for Control System (ECE) of GATE Electronics and Communication | |
| Number of Questions: 15 | |
| Created by: Yashbeer Singh | |
| Tags: Control System Instrumentation Engineering |
For the polynomial P(s) = s2 + s4 + 2s3 + 3s + 15, the number of roots which lie in the right half of the s−plane is
A system has poles at 0.1 Hz, 1 Hz and 80 Hz; zeros at 5 Hz, 100 Hz and 200 Hz. The approximate phase of the system response at 20 Hz is
A signal flow graph of a system is given below:
The set of equalities that corresponds to this signal flow graph is
The state space representation of a separately excited DC servo motor dynamics is given as $ \left[ \begin{array} \ \dfrac{d\omega}{dt} \\ \dfrac{di_s}{dt} \end{array} \right] = $ $ \left[ \begin{array} -1 & 1 \\ -1 & -10 \end{array} \right] $ $ \left[ \begin{array} \ \omega \\ i_s \end{array} \right] $ + $ \left[ \begin{array} \ 0 \\ 10 \end{array} \right] u $
The approximate Bode magnitude plot of a minimum-phase system is shown in figure. The transfer function of the system is
The positive values of “K” and “a” so that the system shown in the figure below oscillates at a frequency of 2 rad/sec respectively are
Given A= $ \left[ \begin{array} \ 1 & 0 \\ 0 & 1 \end{array} \right] $ the state transition matrix eAt is given by
In the derivation of expression for peak percent overshoot, $M_p = exp \left( \dfrac{-\pi\xi}{\sqrt{1-\xi^2}} \right) \times 100 \% $, which of the following conditions is not required?
The state variable equations of a system are x1 = -3x1 -x2 = u, x2 = 2x1 and Y= x1+ u. The system is
A certain system has transfer function G (s) = $\dfrac{s+8}{s^2+\alpha s-4}$ where$\alpha$ is a parameter. Consider the standard negative unity feedback configuration as shown below:
Which of the following statements is true?
The open loop transfer function of a plant is given as G(s) = $\dfrac{1}{s^2-1}$. If the plant is operated in a unity feedback configuration, the lead compensator that an stabilize this control system is
An unity feedback system is given as $G(s) = \dfrac{K(1-s)}{s(s+3)}$ Indicate the correct root locus diagram.
The gain margin and the phase margin of a feedback system with G (s) H(s) = $\dfrac{s}{(s+100)^3}$are
The open-loop transfer function of a unity feedback system is
G(s) $\dfrac{K}{s(s^2+s+2)(s+3)}$
The range of K for which the system is stable is
