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d) Write the range of k for which the closed system is stable:........... e) Write the value of k that makes the system marginally stable: f) What would be the period of oscillation......

d) Write the range of k for which the closed system is stable:........... e) Write the value of k that makes the system marginally stable: f) What would be the period of oscillation......

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 want the answer from d to h and I attached the answer of the first 3 questions may help Thanks
Question 3: a) Obtain the open-loop transfer function. Go to page: 12 he closed-loop transfer function c) Find the value of gain and closed-loop poles at the imaginary axis crossing:.. d) Write the range of k for which the closed system is stable:........... e) Write the value of k that makes the system marginally stable: . f) What would be the period of oscillation. g) Find %OS, Tp, Ts, atk = 15 h) Find the steady-state errors when the input is r(t)= 0.62 u(t) step at k=15:. H(s)G(s) = k (s+7)(s +1-j)(s +1+j)
Transcribed Image Text:Question 3: a) Obtain the open-loop transfer function. Go to page: 12 he closed-loop transfer function c) Find the value of gain and closed-loop poles at the imaginary axis crossing:.. d) Write the range of k for which the closed system is stable:........... e) Write the value of k that makes the system marginally stable: . f) What would be the period of oscillation. g) Find %OS, Tp, Ts, atk = 15 h) Find the steady-state errors when the input is r(t)= 0.62 u(t) step at k=15:. H(s)G(s) = k (s+7)(s +1-j)(s +1+j)
epartment: Computer engineering a) Hs Gs= Hs Gs = Hs Gs = Hs Gs = (S+7)(S+1-j) (S +1+j) K Hs Gs = K (S+7){(S + 1)² +1} 03: K (S+7) [S² + 2S+2} K S3 +25² +2S+7S² + 14 S + 14 K S3 +9S² + 16 S + 14 Accessibility: Unavailable Hs Gs= K S3 +952 +16 S+14 b) the closed loop transfer function is: Hs Gs Tf 1+ Hs Gs K Tf= 53 +95² + 16 S +14+ K Department: Computer engineering C) Putting S=j w in the loop transfer function: Hjw Gjw = K -jw³ + 9 (-w²) + 16 jw + 14 Hjw Gjw = at imaging axis crosing K jw(16-w²) + 14-9 w² I Hjw Gjw = -180° 16 w²0 Wge=4 Rad/Sec The gain at w = wge = 4 Rad/Sec 1 Hjw Gjw 14-9(4)² K Gain = 130 K 76°F Most
Transcribed Image Text:epartment: Computer engineering a) Hs Gs= Hs Gs = Hs Gs = Hs Gs = (S+7)(S+1-j) (S +1+j) K Hs Gs = K (S+7){(S + 1)² +1} 03: K (S+7) [S² + 2S+2} K S3 +25² +2S+7S² + 14 S + 14 K S3 +9S² + 16 S + 14 Accessibility: Unavailable Hs Gs= K S3 +952 +16 S+14 b) the closed loop transfer function is: Hs Gs Tf 1+ Hs Gs K Tf= 53 +95² + 16 S +14+ K Department: Computer engineering C) Putting S=j w in the loop transfer function: Hjw Gjw = K -jw³ + 9 (-w²) + 16 jw + 14 Hjw Gjw = at imaging axis crosing K jw(16-w²) + 14-9 w² I Hjw Gjw = -180° 16 w²0 Wge=4 Rad/Sec The gain at w = wge = 4 Rad/Sec 1 Hjw Gjw 14-9(4)² K Gain = 130 K 76°F Most
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