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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?

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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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?
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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