STUPIDSID
Attempt the following:
1 (a)
State the advantages of modern control theory over conventional theory.
5 M
1 (b)
Obtain the transfer function of the system. i) ˙x1=−2x1−x2+u ii) ˙x2=−3x1−x2+u y=x1i) ˙x1=−2x1−x2+u ii) ˙x2=−3x1−x2+u y=x1
5 M
1 (c)
Compare lead / lag / lag-lead compensator. Also draw poles & zeros plot of all.
5 M
1 (d)
What is caley Hamilton theorem? Explain the steps to solve for STM using the Caley Hamilton theorem.
5 M
2 (a)
Derive the transfer function of lag-lead compensator.
10 M
2 (b)
Obtain diagonalized matrix (M) for seven system matrix: A=[010\001−1−3−3]
10 M
3 (a)
For the unity feedback control system with PID controller is used to control the system. The plant transfer function is G(s)=Ks(s+1)(s+5) Determine PID controller.
10 M
3 (b)
An open loop control system with: G(s)=Ks2 The system is compensated to meet the following specifications using lag compensator. Kv=5/sec.
10 M
4 (a)
Determine the state transition matrix for the system: A=[−21−2−3] also find the response if the initial condition is x(0)=[1\2]
10 M
4 (b)
Explain the design steps of lag compensator using Bode plot.
10 M
5 (a)
Design an observer for the plan G(s)=10(s+2)s(s+4) Desired observer poles are at -5, 5.
10 M
5 (b)
Check the following systems are completely controllable & observable: i) ˙x=[01−2−3]x+[0\1]u y=[10]x ii) ˙x=[−21\1−2]x+[1 2]u y=[1−1]x
10 M
6 (a)
Consider a plant transfer function G(s)=10(s+1)(s+5) Design state feedback gain matrix to meet the following specifications:
ξ=0.5
Wn= 5 rad/sec.
ξ=0.5
Wn= 5 rad/sec.
10 M
6 (b)
For a unity feedback system G(s)=Ks(s+1) Design a suitable compensator with the following specifications:-
Kv=12/sec
Phage margin = 40°.
Kv=12/sec
Phage margin = 40°.
10 M
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