Consider the second-order system G(s) = 1 s² +25s +1 We would like to add a transfer function of the form Dc (s): = with G(s) in a unity feedback structure. K(s+a) (s+b) in series (a) Ignoring stability for the moment, what are the constraints on K, a, and b so that the system is Type 1? (b) What are the constraints placed on K, a, and b so that the system is both stable and Type 1?
Consider the second-order system G(s) = 1 s² +25s +1 We would like to add a transfer function of the form Dc (s): = with G(s) in a unity feedback structure. K(s+a) (s+b) in series (a) Ignoring stability for the moment, what are the constraints on K, a, and b so that the system is Type 1? (b) What are the constraints placed on K, a, and b so that the system is both stable and Type 1?
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![4.13 Consider the second-order system
G(s): =
1
s² +25s +1
We would like to add a transfer function of the form Dc(s) =
with G(s) in a unity feedback structure.
K(s+a)
(s+b)
in series
(a) Ignoring stability for the moment, what are the constraints on K, a, and
b so that the system is Type 1?
(b) What are the constraints placed on K, a, and b so that the system is both
stable and Type 1?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffba013fa-90da-4103-907b-5c8ebcabaf7a%2F2b3e74e6-a43d-404d-a117-a121691263cd%2Fc5cktg_processed.png&w=3840&q=75)
Transcribed Image Text:4.13 Consider the second-order system
G(s): =
1
s² +25s +1
We would like to add a transfer function of the form Dc(s) =
with G(s) in a unity feedback structure.
K(s+a)
(s+b)
in series
(a) Ignoring stability for the moment, what are the constraints on K, a, and
b so that the system is Type 1?
(b) What are the constraints placed on K, a, and b so that the system is both
stable and Type 1?
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