9. You are asked to design a control system for a plant with the transfer function 12 (s+1)(s+2)(s+5) G(s) = The customer wants a maximum percentage overshoot of 0.75%, and a settling time of 1.5 s. (a) Determine the closed loop pole locations that correspond to the customer's specification. (b) Design a PD controller that will produce the pole locations in part a. (c) Draw the root locus of your system with the controller applied (grid provided on next page) (d) Determine the steady state error to the appropriate input (step, ramp, parabola) with your choice of PD controller. (e) If the customer needs better steady state error performance than that provided by your controller, should you increase the gain or decrease the gain? Explain (f) If you change the gain according to your answer in part e, what will happen to the control performance? Which specifications will still be met with the increased (decreased) gain and which won't?

Electric Motor Control
10th Edition
ISBN:9781133702818
Author:Herman
Publisher:Herman
Chapter22: Sequence Control
Section: Chapter Questions
Problem 1SQ: Describe what is meant by sequence control.
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9. You are asked to design a control system for a plant with the transfer function
12
(s+1) (s+2) (s+5)
G(s)
=
The customer wants a maximum percentage overshoot of 0.75%, and a settling time of 1.5 s.
(a) Determine the closed loop pole locations that correspond to the customer's specification.
(b) Design a PD controller that will produce the pole locations in part a.
(c) Draw the root locus of your system with the controller applied (grid provided on next
page)
(d) Determine the steady state error to the appropriate input (step, ramp, parabola) with your
choice of PD controller.
(e) If the customer needs better steady state error performance than that provided by your
controller, should you increase the gain or decrease the gain? Explain
(f) If you change the gain according to your answer in part e, what will happen to the control
performance? Which specifications will still be met with the increased (decreased) gain
and which won't?
Transcribed Image Text:9. You are asked to design a control system for a plant with the transfer function 12 (s+1) (s+2) (s+5) G(s) = The customer wants a maximum percentage overshoot of 0.75%, and a settling time of 1.5 s. (a) Determine the closed loop pole locations that correspond to the customer's specification. (b) Design a PD controller that will produce the pole locations in part a. (c) Draw the root locus of your system with the controller applied (grid provided on next page) (d) Determine the steady state error to the appropriate input (step, ramp, parabola) with your choice of PD controller. (e) If the customer needs better steady state error performance than that provided by your controller, should you increase the gain or decrease the gain? Explain (f) If you change the gain according to your answer in part e, what will happen to the control performance? Which specifications will still be met with the increased (decreased) gain and which won't?
Imaginary Axis (seconds ¹)
5
4
3
T
-3
-4
-5
-5
-4
Real Axis (seconds
-1
0
1
2
3
Transcribed Image Text:Imaginary Axis (seconds ¹) 5 4 3 T -3 -4 -5 -5 -4 Real Axis (seconds -1 0 1 2 3
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