STUPIDSID
Attempt the following:
1 (a)
Differentiate open-loop and closed-loop systems.
5 M
1 (b)
Explain Mason's gain formula.
5 M
1 (c)
What is optimal control? What the advantages and disadvantages of optimal control.
5 M
1 (d)
Define gain and phase margin. Explain how to find gain margin and phase margins using polar plot.
5 M
2 (a)
Find the transfer function of the block diagram shown in figure by using block, diagram reduction method.
10 M
2 (b)
Construct the root locus having following open loop transfer function. \[ G(s)H(s) = \dfrac {K(s+4)} {(s+0.5)^2(s+2)} \] Find range of K for the system to be stable.
10 M
3 (a)
Find the transfer function of the electrical network shown in figure. Also obtain the state space model.
10 M
3 (b)
Check whether the system is stable or not. \[S^6 + 3S^5 + 2S^4 + 9S^3 + 5S^2 + 12S + 20 = 0\]
5 M
3 (c)
State and prove properties of state transmission matrix.
5 M
4 (a)
The open-loop transfer function of control system is \[ G(s) H(s) = \dfrac {0.5s+1} {s(1+0.1s)(1+0.2s)} \] Determine approximate value of gain and phase margins.
10 M
4 (b)
"For the system described by the following state equation, determine the step response of the system. \[ \dot {x} = \begin{bmatrix}-2 &1 \\1 &-2 \end{bmatrix}x + \begin{bmatrix}
1\\1 \end{bmatrix}u; \ \ y=[0 \ 1]u \]"
10 M
5 (a)
"Determine the controllability and observability properties of the following system \[ \dot {x} = \begin{bmatrix}
1 &1 &0 \\0 &-2 &1 \\0 &0 &-1 \end{bmatrix}x + \begin{bmatrix}0\\1 \\-2 \end{bmatrix}u; \ \ y=[1 \ 0 \ ]x \]"
10 M
5 (b)
Write a short note on stability analysis using Nyquist ctriterior.
5 M
5 (c)
Write a short note on adaptive control.
5 M
6 (a)
Explain the correlation between time and frequency domain specifications.
8 M
6 (b)
Derive the equation for solution of homogeneous system.
7 M
6 (c)
Explain different time domain specifications.
5 M
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