STUPIDSID
Answer the following
1(a)
Explain the concept of relative stability.
5 M
1(b)
What do you mean by frequency domain analysis and explain the frequency domain performance indices.
5 M
1(c)
Find out the t.F. of the given network.
5 M
1(d)
The forward path gain of a system is 2.5 and pole-zero configuration of the system is shown below, find the overall transfer function and type of the system for system for unity feedback.
5 M
2(a)
Reduce the block diagram and obtain its transfer function.
10 M
2(b)
Draw the corresponding signal flow graph of given block diagram and find \( \dfrac{C(s)}{R(s)} \)
10 M
3(a)
State and prove properties of state transition matrix and check controllability and observability for the system. \[\dot{x}=\begin{bmatrix}
0 & 6 & 5\\
1 & 0 & 2\\
3 & 2 & 4
\end{bmatrix}x-\begin{bmatrix}
0\\
1\\
2
\end{bmatrix}u \] \[y=[1\ \ \ 3 \ \ \ 0]x\]
10 M
3(b)
A unity feedback system has \[G(s)=\dfrac{40(s-2)}{s(s-1)(s-4)}\]
Determine : (i) Type of the system
(ii) All error coefficients
(iii) Error for ramp Input with magnitude 4.
Determine : (i) Type of the system
(ii) All error coefficients
(iii) Error for ramp Input with magnitude 4.
10 M
4(a)
Discuss the stability of the following systems for given characteristics equation using Routh-Hurwitz criterion.
(i) s6 + 4s5 + 3s4 + 16s2 - 64s - 48 =0
(ii) s6 + 2s5 + 8s4 + 12s3 + 20s2 + 16s + 16 = 0
(i) s6 + 4s5 + 3s4 + 16s2 - 64s - 48 =0
(ii) s6 + 2s5 + 8s4 + 12s3 + 20s2 + 16s + 16 = 0
10 M
4(b)
A feedback system has an open-loop transfer function. \[G(S)=\dfrac{K}{S(S+3)(S^2+2S+2)}\]
Find the root-locus as k &rarr
Find the root-locus as k &rarr
10 M
5(a)
For a particular unity feedback system, \[G(s)=\dfrac{242(s-5)}{s(s-1)(s^2-5x-121)}\]
Sketch the Bode plot and find Wgc, Wpc, G.M.., p.M. and comment on stability.
Sketch the Bode plot and find Wgc, Wpc, G.M.., p.M. and comment on stability.
10 M
5(b)
For a certain control system \[G(s).H(s)=\dfrac{K}{s(s+2)(s-10)}\]
Sketch the nyquist plot and hence calculate the range of K for stability.
Sketch the nyquist plot and hence calculate the range of K for stability.
10 M
6(a)
Explain the frequency domain specifications.
7 M
6(b)
Explain the concept of Neuro-Fuzzy adaptive control system.
7 M
6(c)
Write short note on : Steady state errors in feed back control system and their types.
7 M
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