R(s) Second-order System Performance in Feedback Systems KG(s) 1+ KG(s)H(s) R(s) -K| Gc(s) = K G(s) = G(s) H(s) = 1 C(s) H(s) Ex: Sketch all the Closed Loop Roots in the S – Plane for ACLTE(S) For K Varying from Zero to Infinitive 1 (s + 1)(s + 2)(s + 4) C(s) = = 1+ K 0≤k<∞ ACLTF (S) = 1 + KG(s)H(s) T(s) = KG(s) + KG(s)H(s) ACLTF (S) = 1 + KG(s)H(s)
R(s) Second-order System Performance in Feedback Systems KG(s) 1+ KG(s)H(s) R(s) -K| Gc(s) = K G(s) = G(s) H(s) = 1 C(s) H(s) Ex: Sketch all the Closed Loop Roots in the S – Plane for ACLTE(S) For K Varying from Zero to Infinitive 1 (s + 1)(s + 2)(s + 4) C(s) = = 1+ K 0≤k<∞ ACLTF (S) = 1 + KG(s)H(s) T(s) = KG(s) + KG(s)H(s) ACLTF (S) = 1 + KG(s)H(s)
Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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![R(s)
Second-order System Performance in Feedback Systems
KG(s)
1+ KG(s)H(s) R(s)
-K|
Gc(s) = K
G(s) =
G(s)
H(s) = 1
C(s)
H(s)
Ex: Sketch all the Closed Loop Roots in the S – Plane for ACLTF (S)
For K Varying from Zero to Infinitive
1
(s + 1)(s + 2)(s + 4)
C(s) = = 11+ K
0≤k<∞ ACLTF (S) = 1 + KG(s)H(s)
T(s) =
KG(s)
+ KG(s)H(s)
ACLTF (S) = 1 + KG(s)H(s)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fecd9d238-92a1-4a47-af9e-c758e887edd1%2F67b49093-ffd8-48cd-b359-d6c8c8e56df3%2Fxcm98rp_processed.png&w=3840&q=75)
Transcribed Image Text:R(s)
Second-order System Performance in Feedback Systems
KG(s)
1+ KG(s)H(s) R(s)
-K|
Gc(s) = K
G(s) =
G(s)
H(s) = 1
C(s)
H(s)
Ex: Sketch all the Closed Loop Roots in the S – Plane for ACLTF (S)
For K Varying from Zero to Infinitive
1
(s + 1)(s + 2)(s + 4)
C(s) = = 11+ K
0≤k<∞ ACLTF (S) = 1 + KG(s)H(s)
T(s) =
KG(s)
+ KG(s)H(s)
ACLTF (S) = 1 + KG(s)H(s)
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