2. A traffic control system is designed to control the distance between vehicles, as shown in Figure P2. Determine the range of gain K for which the closed-loop system is stable. Will the closed-loop system continue to be stable if the controller of Figure P2 is changed to a proportional controller having gain Kj. It is given that both K and K, are real and positive. 1

Introductory Circuit Analysis (13th Edition)
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2. A traffic control system is designed to control the distance between
vehicles, as shown in Figure P2. Determine the range of gain K for
which the closed-loop system is stable. Will the closed-loop system
continue to be stable if the controller of Figure P2 is changed to a
proportional controller having gain K. It is given that both K and K,
are real and positive.
1
Throttle, engine and
automobile
Controller
R(s)
K
1
Y(s)
Desired
distance
Actual
distance
-
s? +10s + 20
S
Sensor
Fig. P2 Unity negative feedback control system for problem 2.
Transcribed Image Text:2. A traffic control system is designed to control the distance between vehicles, as shown in Figure P2. Determine the range of gain K for which the closed-loop system is stable. Will the closed-loop system continue to be stable if the controller of Figure P2 is changed to a proportional controller having gain K. It is given that both K and K, are real and positive. 1 Throttle, engine and automobile Controller R(s) K 1 Y(s) Desired distance Actual distance - s? +10s + 20 S Sensor Fig. P2 Unity negative feedback control system for problem 2.
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