
ECE4510/ECE5510, INTRODUCTION TO FEEDBACK CONTROL 1–8
5. Functional block diagram:
Compen-
sator
r (t)
y(t)
w(t)
u(t)
10
0.5
r (t)—reference speed, MPH.
u(t)—throttle posn., %.
y(t)—actual speed, MPH.
w(t)—road grade, %.
4. Design compensator/controller
• First attempt = “open loop” controller.
Compensator
1/10
r (t)
y
ol
(t)
w(t)
u(t)
10
0.5
y
ol
(t) = 10
(
u(t) − 0.5w(t)
)
= 10
!
r(t)
10
− 0.5w(t)
"
= r(t) − 5w(t).
5. Evaluate design: Percent error is computed as 100
!
r(t) − y
ol
(t)
r(t)
"
• r (t) = 55, w(t) = 0 # y
ol
(t) = 55.Noerror...Good.
• r (t) = 55, w(t) = 1 # y
ol
(t) = 50. ≈ 10 % error...Notgood.
• r (t) = 55, w(t) = 2 # y
ol
(t) = 45. ≈ 20 % error...Notgood.
Lecture notes prepared by and copyright
c
! 1998–2013, Gregory L. Plett and M. Scott Trimboli
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