Explain Open loop and Closed loop control system with example.
[3 marks]Define: Transfer function, Self loop, Steady-state error,
[4 marks]Obtain the overall transfer function C/Rof the system whose signal flow graph shown in following figure.
[7 marks]Explain the conditions for Stable, Marginally stable and Unstable systems.
[3 marks]Derive the expressions for error constants1 K p , K v and K a corresponding to step, ramp and parabolic input respectively.
[4 marks]Consider the feedback system with G(s) = 4⁄s(s+0.2) and H(s) = 1+as. Determine the value of ‘a’ such that the damping ratio is 0.5. Also obtain the values of rise time t and r peak overshoot Mfor its step response. p
[7 marks]Derive expressions of (i) Rise time, t (ii) Peak time, t and (ii) Peak r p overshoot, Mfor a second order control system subjected to a unit step p input.
[7 marks]Explain: Frequency response, Root locus, Centroid
[3 marks]The characteristic equation of the system is: 4s4 +2s3 +Ks2 +2s+1 = 0. Find Kand 𝜔 . mar mar
[4 marks]Using Routh’s criterion check the stability of a system whose characteristic equation is given by s6 +3s5 +5s4 +9s3 +8s2 +6s+4 = 0
[7 marks]Explain concept of Relative stability.
[3 marks]Write short note on PID controller.
[4 marks]Using Routh array determine the range of Kfor a unity feedback system whose open loop transfer function is given by K G(s) = s(s+1)(s+3)(s+5)
[7 marks]Explain: State, State variable, state trajectory
[3 marks]Draw the polar plot considering a unity feedback system with open loop transfer function10 G(s) = s(s+2)(s+5)
[4 marks]Aunity feedback system has the loop transfer function K G(s) = (s+1)(s+3)(s+5)
[7 marks]Find Centroid and Breakaway point.
[ marks]Sketch the Root Locus.
[ marks]Explain: Gain margin, Phase margin, Polar plot
[3 marks]Write short note on Lag compensator.
[4 marks]Aunity feedback system with open loop transfer function G(s) = Kis s(s+2) to be compensated to meet the following specifications: Damping ration 𝜉 = 0.5 Damped natural frequency 𝜔 = 4 rad⁄sec n Design the lead compensator to meet the given specifications.
Derive Correlation Between Transfer Functions and State-Space Equations.
[3 marks]Determine the transfer function for the following system. [ X 1 ] = [ 0 3 ][ x 1 ]+[ 1 1 ]u X −2 −5 x 2 1 2 1 x 1 and y = [ ][ ] 1 0 x
[2 marks]The feed forward transfer function of a close loop system is G(s) = 1⁄s(s+1) and feedback transfer function is H(s) = 1⁄(s+2).
[7 marks]Draw the polar plot of G(s)H(s). (ii) Find 𝜔 corresponding to ∠G(j𝜔)H(j𝜔) = 180°. (iii)Find |G(j𝜔)H(j𝜔)| corresponding to frequency obtain in (ii).
[ marks]Explain standard test signals.
[3 marks]Discuss Nyquist stability criterion.
[4 marks]Draw the Nyquit plot for unity feedback system having G(s) = 10⁄ (s+1)(s+2) . Also, comment on system stability.
[7 marks]