3. Consider the cruise-control example with mi = -av + u+ w where u is the control input (force applied by engine) and w the disturbance input (force applied by hill, etc.). A proportional control law is given by: u = -kp(v – Vref) and a proportional-integral (PI) control law by u = -kp(v – Vref) – ki (v - Vref )dt (a) Sketch a block-diagram for the closed-loop system, with inputs being the reference signal Vref and the disturbance force w. (b) What is the transfer function P(s) for the plant (from u or w to v)? (c) What is the transfer function C(s) for the controller (from the error e = Vref – v to the control signal u)
3. Consider the cruise-control example with mi = -av + u+ w where u is the control input (force applied by engine) and w the disturbance input (force applied by hill, etc.). A proportional control law is given by: u = -kp(v – Vref) and a proportional-integral (PI) control law by u = -kp(v – Vref) – ki (v - Vref )dt (a) Sketch a block-diagram for the closed-loop system, with inputs being the reference signal Vref and the disturbance force w. (b) What is the transfer function P(s) for the plant (from u or w to v)? (c) What is the transfer function C(s) for the controller (from the error e = Vref – v to the control signal u)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Transcribed Image Text:3. Consider the cruise-control example
with
mi = -av + u + w
where u is the control input (force applied by engine) and w the disturbance input (force
applied by hill, etc.). A proportional control law is given by:
u = -kp(v – Vref)
and a proportional-integral (PI) control law by
u = -kp(v – Vref) – ki
(v – Vref )dt
-
(a) Sketch a block-diagram for the closed-loop system, with inputs being the reference signal
Vref and the disturbance force w.
(b) What is the transfer function P(s) for the plant (from u or w to v)?
(c) What is the transfer function C(s) for the controller (from the error e = Vref
control signal u)
- v to the
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