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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)

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)

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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I need answer from d to g and I will attach the answer for the first 3 questions may help Thanks
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)
al (Türkiye) Q1: Root Locus of G(s)H(s) Accessibility: Unavailable D 3 18 a (real part of s) 8 64 2 O 12 16 SIND 0060 + 14 12 10 -6 -8 -10 -12 -14 -16 jw (mag part of 5) Department: Computer engineering b) Routh table: to find the value of K for marginal stability. Sa 5² 9 St So 1 20+K 12+10K 12+10K 180+9K-12-10K 9 From marginal stability, we equate the column of S to zero, and we get K= 168 the auxiliary equation becomes: 95 + 12 +1680 = 0 S² = -188 S=+13.7 So, the value of gain K = 168 and the pole is at +13.7 at the imaginary crossing. C) For stability: 168 K>0 K< 168 & 12 + 10K >0 K> -1.2 we assume K>0 so the answer is 0<K<168 to become stable. 40 Activ Go to 03 Rain tomor
Transcribed Image Text:al (Türkiye) Q1: Root Locus of G(s)H(s) Accessibility: Unavailable D 3 18 a (real part of s) 8 64 2 O 12 16 SIND 0060 + 14 12 10 -6 -8 -10 -12 -14 -16 jw (mag part of 5) Department: Computer engineering b) Routh table: to find the value of K for marginal stability. Sa 5² 9 St So 1 20+K 12+10K 12+10K 180+9K-12-10K 9 From marginal stability, we equate the column of S to zero, and we get K= 168 the auxiliary equation becomes: 95 + 12 +1680 = 0 S² = -188 S=+13.7 So, the value of gain K = 168 and the pole is at +13.7 at the imaginary crossing. C) For stability: 168 K>0 K< 168 & 12 + 10K >0 K> -1.2 we assume K>0 so the answer is 0<K<168 to become stable. 40 Activ Go to 03 Rain tomor
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