Compare open-loop and closed-loop control system.
[3 marks]What is transfer function? Discuss properties, advantages and disadvantages of it.
[4 marks]Explain rules for block-diagram reduction technique.
[7 marks]Define following terms. 1) Time response 2) Order of the system 3) Steady state error
[3 marks]Compare block-diagram and signal flow graph method.
[4 marks]Draw the equivalent mechanical system of the system shown in figure.1. Write the set of equilibrium equations for it and obtain electrical analogous circuits using
[7 marks]F-Vanalogy ii) F-Ianalogy
[ marks]+ (c) For the block diagram of figure.2, derive the open-loop and closed-loop transfer function by block diagram reduction technique.
[7 marks]Define following terms. 1) Rise time 2) Settling time 3) Peak time
[3 marks]k The open loop transfer function of a unity feedback system is, G(s) = s(1+Ts)
[4 marks]Find by what factor the gain k be reduced so that the overshoot is reduced from 60% to 15%. ii) Find by what factor gain k should be reduced so that the damping ratio ξ is increased from 0.1 to 0.6.
[ marks]Determine the transfer function of the system with signal flow graph shown in figure.3.
[7 marks]Derive an expression for the Peak Overshoot for a second order control system subjected to a unit step input.
[3 marks]Discuss standard Test signals used in control system.
[4 marks]C(s) k Close loop transfer function of control system is given by = R(s) s4+6s3+30s2 +60s+k (1) Determine the range of k must be lie for the system to be stable. (2) What should be upper limit of k is all the close loop pole are required to be the left side of the line (σ = -1).
Explain the frequency response, state its application with possible limitations.
[3 marks]k An open loop transfer function of a system is given by G(s)H(s) = (s+1)(2s+1) Prepare Nyquist plot for it.
[4 marks]Explain rules for construction of root locus.1
[7 marks]Discuss Nyquist criteria for stability.
[3 marks]Write a short note on state space representation of a control system.
[4 marks]Draw the approximate root-locus diagram for close loop system whose transfer function k is given by G(s)H(s) = s(s+5)(s+10)
[7 marks]Derive sensitivity S G Tof open loop and close loop control system
[3 marks]Define the following terms 1) Gain cross over frequency 2) Phase cross over frequency 3) Gain Margin 4) Phase Margin
[4 marks]10 e−0.1s Draw the bode plot for G(s) = s(1+10s)(1+4s) Also find phase and gain margin.
[7 marks]Define following terms. 1) State 2) State variable 3) State space.
[3 marks]Derive the expression for peak time Tp for a second order control system subjected to a unit step input.
[4 marks]Derive the state variable equation X = AX +BU and Y+CX+DU. Also draw the block diagram. Figure.1 Figure.22 Figure.3
[7 marks]