Explain the block reduction technique for (a) shifting a summing point after the block (b) shifting a take-off point before a block (c) shifting a take-off point after a summing point
[3 marks]Asystem is represented by1 C R ( ( s s ) ) = s 2 +10 s + 2 . Obtain the final value of c ( t ) if the input r ( t )04 of 1.5 units.
[5 marks]Obtain the transfer function of the circuit shown in the figure. for Comment on the response of the system R1 R2 1 M , C1 1 F , C2 0 .5 F = = = =07
[ marks]Define (a) Time response (b) Transient response (c) Steady state response
[3 marks]Define (a) gain margin (b) phase margin (c) cut-off frequency
[4 marks]Asecond order control system is represented by T ( s ) o( s ) Js 21 fs K = + + , where o07 is the angular output and Tis the input torque. If the step input of 10 N-m is applied, Design the value of J, f, and Kfor (1) Mp=6% (2) tp=1 sec (3) the steady state value of the output is 0.5 radian.
[ marks]The maximum overshoot for a unity feedback control system having its forward path K G(s)= s(sT+1) transfer function as is to be reduced from 60% to 20%. The input to the system is a unit step function. Design the value of Kto achieve the aforementioned reduction.
[7 marks]State three advantages and dis-advantages of frequency domain approach
[3 marks]Check the stability of the system having characteristics equation as s5 +s4 +2s3 +2s2 +3s+15=0by writing Routh’s array.
[4 marks]Draw the root locus plot for a system having open loop transfer function as K G(s)H(s)= . Comment on stability and response of the system s(s2+2s+2)
[7 marks]Define (a) resonant peak (b) resonant frequency (c) cut-off rate
[3 marks]Aunity feedback system has2 G ( s ) = s (4 s0 + ( s 1 ) + ( s2 + ) 4 )04 . Obtain the steady state error for ramp input of magnitude 4.
[ marks]Draw the root locus plot for a system having open loop transfer function as K G(s)H(s)= . Comment on stability and response of the system s(s+1)(s+2)(s+3)
[7 marks]State the effect of PD controller on the response of a second order system
[3 marks]Explain why PI controller reduces the steady state error of second order system to zero for ramp input
[4 marks]80 Draw the bode plot for a unity gain feedback system having G(s)= s(s+2)(s+20) .Determine gain margin, phase margin, g c , p c07 and comment on stability
[ marks]Define compensation. Explain series compensation.
[3 marks]Draw passive lag compensative network. Write the standard transfer function of the lag compensating network and hence draw PZ map and bode plot for the lag compensating network
[4 marks]Aunity feedback control system has G ( s ) = s ( s +1 ) ( s + 2 )07 . Draw the Nyquist plot and comment on the stability of closed loop system
[ marks]State the advantages of state space approach
[3 marks]Derive the transfer function for a system with state model •x = Ax + b u , y = Cx + Du04
[ marks]Consider a system having state model x x1 = −4 2 −2 3 x x1 + 35 u and y = 1 1 x x1 . Obtain its transfer function
[7 marks]Define (a) state variable (b) state vector (c) state space
[3 marks]State the properties of the state transition matrix
[4 marks]Check observability of a system with system matrix A = 13 and output matrix C = 1 2
[ marks]Check controllability of a system with system matrix A = 01 − 52 07 and input matrix 0 B= 1 2
[ marks]