Code No: RR220206
RR
Set No. 2
in
II B.Tech II Semester Supplementary Examinations,May 2010 CONTROL SYSTEMS Common to ICE, ETM, E.CONT.E, EIE, ECE, EEE Time: 3 hours Max Marks: 80 Answer any FIVE Questions All Questions carry equal marks ????? 1. (a) The open loop transfer function of a feed back system is G(s)H(s)= K(1+s) . (1−s) Comment on stability using Nyquist Plot. 1+0.2s . 1+0.2s
Find the maximum [8+8]
ld .
(b) The transfer function of a phase advance circuit is phase lag.
2. (a) Derive expression of peak resonance and bandwidth.
[4]
Peak Resonance Bandwidth Phase Margin Gain Margin
uW
i. ii. iii. iv.
or
(b) Define the following frequency response specifications.
[4x3]
3. Sketch the root locus of the given system GH(s) = K / (s+1) (s+3) (s+6) (a) Find the break away point on the real axis (b) Find the value of “k” at ζ =0.5.
[8+4+4]
nt
4. Find the unit step response for the following system with the initial conditions 0 x(0) = 1 • 0 1 x1 (t) 0 + u(t) X= −6 −2 x2 (t) 1 Y(t) = [3 0] X (t) [16]
Aj
5. (a) Determine whether the largest time constant of the characteristic equation given below is greater than, less than, or equal to 1.0 sec. s3 + 4s2 +6s+4=0 (b) Figure6. is a block diagram of a space-vehicle attitude-control system. Assuming the time constant T of the controller to be 3 sec., and the ratio K/J to be 29 rad2 /sec2 , find the damping ratio and natural frequency of the system. [6+10]
1
RR
Set No. 2
in
Code No: RR220206
Figure 6
ld .
6. (a) Explain about various types of control systems with examples briefly. (b) Explain the differences between open loop and closed loop system.
[10+6]
7. (a) Determine the stability of a system using Routh Hurwitz criteria s6 + s5 + 5s4 + 3s3 + 2s2 - 4s - 8 = 0
uW
or
(b) Block diagram of a position control system in shown in Figure 2b in the absence of derivative feedback (kt =0), determine damping ratio of the system for amplifier gain KA =5. Also find steady state error to unit ramp input. [8+8]
Figure 2b
8. (a) Discuss the effects of feedback on system dynamics by unit feedback and regenerative feedback. Give suitable examples.
Aj
nt
(b) In the closed loop system given in Figure3b, find the sensitivity S T G1.and S T G2. [8+8]
Figure 3b ????? 2
Code No: RR220206
RR
Set No. 4
in
II B.Tech II Semester Supplementary Examinations,May 2010 CONTROL SYSTEMS Common to ICE, ETM, E.CONT.E, EIE, ECE, EEE Time: 3 hours Max Marks: 80 Answer any FIVE Questions All Questions carry equal marks ????? 1. (a) Discuss the effects of feedback on system dynamics by unit feedback and regenerative feedback. Give suitable examples.
uW
or
ld .
(b) In the closed loop system given in Figure3b, find the sensitivity S T G1.and S T G2. [8+8]
Figure 3b
2. (a) Explain about various types of control systems with examples briefly. (b) Explain the differences between open loop and closed loop system.
[10+6]
3. Sketch the root locus of the given system GH(s) = K / (s+1) (s+3) (s+6)
nt
(a) Find the break away point on the real axis
(b) Find the value of “k” at ζ =0.5.
[8+4+4]
4. (a) Derive expression of peak resonance and bandwidth.
[4]
Aj
(b) Define the following frequency response specifications. i. ii. iii. iv.
Peak Resonance Bandwidth Phase Margin Gain Margin
[4x3] 5. Find the unit step response for the following system with the initial conditions 0 x(0) = 1 3
Code No: RR220206
RR
Set No. 4
0 1 x1 (t) 0 + u(t) X= −6 −2 x2 (t) 1 Y(t) = [3 0] X (t) •
[16]
6. (a) The open loop transfer function of a feed back system is G(s)H(s)= K(1+s) . (1−s) Comment on stability using Nyquist Plot. 1+0.2s . 1+0.2s
Find the maximum [8+8]
in
(b) The transfer function of a phase advance circuit is phase lag.
7. (a) Determine whether the largest time constant of the characteristic equation given below is greater than, less than, or equal to 1.0 sec. s3 + 4s2 +6s+4=0
uW
or
ld .
(b) Figure6. is a block diagram of a space-vehicle attitude-control system. Assuming the time constant T of the controller to be 3 sec., and the ratio K/J to be 29 rad2 /sec2 , find the damping ratio and natural frequency of the system. [6+10]
Figure 6
8. (a) Determine the stability of a system using Routh Hurwitz criteria s6 + s5 + 5s4 + 3s3 + 2s2 - 4s - 8 = 0
Aj
nt
(b) Block diagram of a position control system in shown in Figure 2b in the absence of derivative feedback (kt =0), determine damping ratio of the system for amplifier gain KA =5. Also find steady state error to unit ramp input. [8+8]
Figure 2b ?????
4
Code No: RR220206
RR
Set No. 1
in
II B.Tech II Semester Supplementary Examinations,May 2010 CONTROL SYSTEMS Common to ICE, ETM, E.CONT.E, EIE, ECE, EEE Time: 3 hours Max Marks: 80 Answer any FIVE Questions All Questions carry equal marks ????? 1. (a) Determine the stability of a system using Routh Hurwitz criteria s6 + s5 + 5s4 + 3s3 + 2s2 - 4s - 8 = 0
or
ld .
(b) Block diagram of a position control system in shown in Figure 2b in the absence of derivative feedback (kt =0), determine damping ratio of the system for amplifier gain KA =5. Also find steady state error to unit ramp input. [8+8]
Figure 2b
uW
. 2. (a) The open loop transfer function of a feed back system is G(s)H(s)= K(1+s) (1−s) Comment on stability using Nyquist Plot. (b) The transfer function of a phase advance circuit is phase lag.
1+0.2s . 1+0.2s
Find the maximum [8+8]
3. (a) Derive expression of peak resonance and bandwidth.
[4]
(b) Define the following frequency response specifications. Peak Resonance Bandwidth Phase Margin Gain Margin
nt
i. ii. iii. iv.
Aj
[4x3]
4. Sketch the root locus of the given system GH(s) = K / (s+1) (s+3) (s+6)
(a) Find the break away point on the real axis
(b) Find the value of “k” at ζ =0.5.
[8+4+4]
5. (a) Explain about various types of control systems with examples briefly. (b) Explain the differences between open loop and closed loop system.
[10+6]
6. (a) Determine whether the largest time constant of the characteristic equation given below is greater than, less than, or equal to 1.0 sec. s3 + 4s2 +6s+4=0 5
Code No: RR220206
RR
Set No. 1
Figure 6
ld .
in
(b) Figure6. is a block diagram of a space-vehicle attitude-control system. Assuming the time constant T of the controller to be 3 sec., and the ratio K/J to be 29 rad2 /sec2 , find the damping ratio and natural frequency of the system. [6+10]
or
7. (a) Discuss the effects of feedback on system dynamics by unit feedback and regenerative feedback. Give suitable examples.
nt
uW
(b) In the closed loop system given in Figure3b, find the sensitivity S T G1.and S T G2. [8+8]
Figure 3b
Aj
8. Find the unit step response for the following system with the initial conditions 0 x(0) = 1 • 0 1 x1 (t) 0 + u(t) X= −6 −2 x2 (t) 1 Y(t) = [3 0] X (t) [16] ?????
6
Code No: RR220206
RR
Set No. 3
in
II B.Tech II Semester Supplementary Examinations,May 2010 CONTROL SYSTEMS Common to ICE, ETM, E.CONT.E, EIE, ECE, EEE Time: 3 hours Max Marks: 80 Answer any FIVE Questions All Questions carry equal marks ????? 1. (a) Explain about various types of control systems with examples briefly. (b) Explain the differences between open loop and closed loop system.
[10+6]
ld .
2. (a) Determine the stability of a system using Routh Hurwitz criteria s6 + s5 + 5s4 + 3s3 + 2s2 - 4s - 8 = 0
uW
or
(b) Block diagram of a position control system in shown in Figure 2b in the absence of derivative feedback (kt =0), determine damping ratio of the system for amplifier gain KA =5. Also find steady state error to unit ramp input. [8+8]
Figure 2b
3. (a) Discuss the effects of feedback on system dynamics by unit feedback and regenerative feedback. Give suitable examples.
Aj
nt
(b) In the closed loop system given in Figure3b, find the sensitivity S T G1.and S T G2. [8+8]
Figure 3b
4. Sketch the root locus of the given system GH(s) = K / (s+1) (s+3) (s+6)
(a) Find the break away point on the real axis (b) Find the value of “k” at ζ =0.5.
[8+4+4] 7
Code No: RR220206
RR
Set No. 3
5. Find the unit step response for the following system with the initial conditions 0 x(0) = 1 • 0 1 x1 (t) 0 + u(t) X= −6 −2 x2 (t) 1 Y(t) = [3 0] X (t) [16]
in
6. (a) Determine whether the largest time constant of the characteristic equation given below is greater than, less than, or equal to 1.0 sec. s3 + 4s2 +6s+4=0
uW
or
ld .
(b) Figure6. is a block diagram of a space-vehicle attitude-control system. Assuming the time constant T of the controller to be 3 sec., and the ratio K/J to be 29 rad2 /sec2 , find the damping ratio and natural frequency of the system. [6+10]
Figure 6
7. (a) Derive expression of peak resonance and bandwidth.
[4]
(b) Define the following frequency response specifications. Peak Resonance Bandwidth Phase Margin Gain Margin
nt
i. ii. iii. iv.
[4x3]
Aj
8. (a) The open loop transfer function of a feed back system is G(s)H(s)= K(1+s) . (1−s) Comment on stability using Nyquist Plot. (b) The transfer function of a phase advance circuit is phase lag. ?????
8
1+0.2s . 1+0.2s
Find the maximum [8+8]
