Verify that the closed-loop transfer function T(s) = C(s)/R(s) in terms of parameters a and pressed as a ratio of two polynomials in s, is 3 8² + (x+2)s+2a+B T(s) =
Verify that the closed-loop transfer function T(s) = C(s)/R(s) in terms of parameters a and pressed as a ratio of two polynomials in s, is 3 8² + (x+2)s+2a+B T(s) =
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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(a) Verify that the closed-loop transfer function T (s) = C(s)/R(s) in terms of parameters α and
β, when expressed as a ratio of two polynomials in s, is
T (s) = β/ s2 + (α + 2)s + 2α + β
(b)
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(b) Pick a pair of values for parameters α and β such that the closed-loop system is stable
(c) Pick a pair of values for parameters α and β such that the closed-loop step response is underdamped, exhibiting a settling time of 4/5 seconds and a peak time of π/7 seconds.
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