a) Sketch the root locus. b) What are the values of the gain and poles at the imaginary axis crossings:.. c) Find the range of the gain making the system stable...... d) Dominant poles are at s1,2 = -1±j 3.5, whenk = 8, Find the location of third pole......... e) What is the system type?... f) Find the steady-state errors at k-8,when r(t)= 0.6 u(t) step and 0.6tu(t) ramp inputs are applied.:.:.......... g) Add a PI controller with k=8 and zero of s=-0.2, find the steady state error at for the same inputs:....................... Ge(s) = k(s + 10) ; Gp(s) = 1 (s + 1)(s + 2)(s +6)

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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Question 1:....
a) Sketch the root locus..
b) What are the values of the gain and poles at the imaginary axis crossings:..
c) Find the range of the gain making the system stable...........
d) Dominant poles are at s1,2 = -1 ±j 3.5, whenk = 8, Find the location of third pole.........
e) What is the system type?..........
f) Find the steady-state errors at k-8,when r(t)= 0.6 u(t) step and 0.6tu(t) ramp inputs are
applied.:...........
g) Add a Pl controller with k=8 and zero of s=-0.2, find the steady state error at for the same
inputs:...........
1
Ge(s) = k(s + 10) ; Gp(s) = (s + 1)(s + 2)(s + 6)
Transcribed Image Text:Question 1:.... a) Sketch the root locus.. b) What are the values of the gain and poles at the imaginary axis crossings:.. c) Find the range of the gain making the system stable........... d) Dominant poles are at s1,2 = -1 ±j 3.5, whenk = 8, Find the location of third pole......... e) What is the system type?.......... f) Find the steady-state errors at k-8,when r(t)= 0.6 u(t) step and 0.6tu(t) ramp inputs are applied.:........... g) Add a Pl controller with k=8 and zero of s=-0.2, find the steady state error at for the same inputs:........... 1 Ge(s) = k(s + 10) ; Gp(s) = (s + 1)(s + 2)(s + 6)
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