1(a)
Define relative,absolute and robust stability of the system.
5 M
1(b)
What is gain and phase margin?Explain how to find gain phase margin by using polar plot.
5 M
1(c)
Differentiate open loop and closed loop system.
5 M
1(d)
What is damping ratio? Show the location of roots in s plane for different values of damping ratio.
5 M
2(a)
Derive the transfer function of electromechanical system shown in fig:
10 M
2(b)
Find the transfer function of the electrical network in figure
10 M
3(a)
Find the closed loop transfer of the system whose block diagrams is given in figure;
10 M
3(b)
State and prove properties of state transition matrix.
5 M
3(c)
What is optimal control?Why optimal control is needed?
5 M
4(a)
Construct a state model of the system shown infig
10 M
4(b)
Predict the controllability and observability for the system
[x=egin{bmatrix} 0 & 1 & 0\ 3& 0& 2\ -12&-7 &-6 end{bmatrix}x +egin{bmatrix} 0\ 0\ 0 end{bmatrix}u\]
y=[1 2 0]dx
[x=egin{bmatrix} 0 & 1 & 0\ 3& 0& 2\ -12&-7 &-6 end{bmatrix}x +egin{bmatrix} 0\ 0\ 0 end{bmatrix}u\]
y=[1 2 0]dx
10 M
5(a)
Construct the root locus for the system having following open loop transfer function:
[G(s)H(s)=dfrac{k}{(s+3)(s+5)(s^{2}+2s+2)}
[G(s)H(s)=dfrac{k}{(s+3)(s+5)(s^{2}+2s+2)}
10 M
5(b)
Construct the bode plot for the following transfer function:
[G(s).H(s)=dfrac{10(s+10)}{s(s+10)(s+5)}\]
[G(s).H(s)=dfrac{10(s+10)}{s(s+10)(s+5)}\]
10 M
6(a)
What is adaptive control? Explain one method of adaptive control.
7 M
6(b)
Explain how the stability of the system can be analysed Using Nyquist Criterion.
7 M
6(c)
Explain the time domain specifications.
6 M
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