The system transfer function has three poles at s = 0, s= -2, s = -1. It has a gain of 5. The controller is a simple gain, where U(s) = KE(s). (a) Draw the block diagram, substituting in appropriate transfer functions. (b) Is the open-loop system stable? (c) Comment on the stability of the closed-loop system for K = 0.3, 0.5, 0.7 and 0.9

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P 5.5: A typical feedback control system is shown
R(s) + E(s)
K(s)
U(s)
G(s)
Y(s)
The system transfer function has three poles at s = 0, s= -2, s=-1. It has a gain of 5. The controller
is a simple gain, where U(s) = KE(s).
(a) Draw the block diagram, substituting in appropriate transfer functions.
(b) Is the open-loop system stable?
(c) Comment on the stability of the closed-loop system for K = 0.3, 0.5,
0.7 and 0.9
Transcribed Image Text:P 5.5: A typical feedback control system is shown R(s) + E(s) K(s) U(s) G(s) Y(s) The system transfer function has three poles at s = 0, s= -2, s=-1. It has a gain of 5. The controller is a simple gain, where U(s) = KE(s). (a) Draw the block diagram, substituting in appropriate transfer functions. (b) Is the open-loop system stable? (c) Comment on the stability of the closed-loop system for K = 0.3, 0.5, 0.7 and 0.9
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