Differentiate between open loop system and closed loop systems.
[3 marks]Define transfer function. Find the impulse response of a system whose transfer function is G=1/(S+6)
[4 marks]Using block diagram reduction technique, find out overall transfer function C(s)/R(s) for the diagram shown in fig.1. Fig. 1
[7 marks]Write Meason’s gain formula and define each term of the formula.
[3 marks]Differentiate between signal flow graph and block diagram representation of system.
[4 marks]The open loop transfer function of a unity feedback system is k(s+13) G(s)H(s) = s(s+3)(s+7) Using Routh’s criterion, calculate the range of k for system to be stable. If the value of k=1, comment on stability.
[7 marks]Derive and draw the unit step response of second order underdamped system.
[7 marks]Define the following terms: (1) Type of a system (2) BIBO stability (3) Time constant
[3 marks]Briefly explain the first order system and its response to unit step input.
[4 marks]Sketch the root locus plot of a control system whose open loop transfer function is given by k G(s)H(s) = s(s+4)(s2+4s+8)
[7 marks]Explain the concept of linearity and time invariance in the context of control system.
[3 marks]Define following terms: (1) rise time (2) peak time (3) settling time (4) peak overshoot1
[4 marks]Draw the root locus plot of a control system whose open loop transfer function is given by k G(s)H(s) = s(s+1)(s+5)
[7 marks]Determine the transfer function of a system described by following state space model −2 1 1 A = [ ], B = [ ], C = [1 1], D=0 0 −1 1
[3 marks]State the properties of state transition matrix.
[4 marks]Consider an open loop transfer function50 G(s)H(s) = (s+1)(s+2) Using Nyquist stability criterion, determine whether the system is stable when the feedback path is closed.
[7 marks]Discuss the limitations of transfer functions and advantages of analysis of control systems using state space.
[3 marks]Write a note on steady state error and error constants.
[4 marks]Explain Nyquist stability criterion.
[7 marks]Define bandwidth, gain margin and phase margin for frequency response.
[3 marks]Draw the polar plot of G(s) =10/[s(s+2)].
[4 marks]The open loop transfer function of a unity feedback system is50 G(s)H(s) = s(s+10)(s+5)(s+1) From the Bode plot, determine gain margin and phase margin.
[7 marks]Discuss the effect of time delay on the stability of the process.
[3 marks]Discuss Nichol’s chart and its application.
[4 marks]The open loop transfer function of a unity feedback system is given by 10(1+0.5s) G(s)H(s) = s(0.1s+1)(0.2s+1) Draw the Bode plot and determine gain margin and phase margin.
[7 marks]