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A negative unity-feedback LTI system has a forward element consisting of an amplifier with adjustable real-valued gain K in cascade with a transfer function G(s), the transfer function G(s) known to generate the polar plot sketched in Figure 3. Use the sketch to answer each of the following questions. Im 0₂ 0 (a) Evaluate: |C(0)| (b) Evaluate: G(jw₂)| = | (c) Evaluate: limu+G(jw)| = @=0₂ @=0 Figure 3: Polar Plot of G(jw) for w=0 to x Re 30=0 (e) System Type of G(s):. (f) # of (finite) open-loop zeros (g) # of open-loop poles in right-half s-plane (h) # of closed-loop poles in right-half s-plane = (i) Phase Crossover Frequency LC(0) LG(jw₂) lim-+ LG(jw) = (d) What is the filter characteristic of the open-loop frequency response? Circle one: low-pass band-pass high-pass DC Gain of G(s): = # of open-loop poles Gain Margin Ga

A negative unity-feedback LTI system has a forward element consisting of an amplifier with adjustable real-valued gain K in cascade with a transfer function G(s), the transfer function G(s) known to generate the polar plot sketched in Figure 3. Use the sketch to answer each of the following questions. Im 0₂ 0 (a) Evaluate: |C(0)| (b) Evaluate: G(jw₂)| = | (c) Evaluate: limu+G(jw)| = @=0₂ @=0 Figure 3: Polar Plot of G(jw) for w=0 to x Re 30=0 (e) System Type of G(s):. (f) # of (finite) open-loop zeros (g) # of open-loop poles in right-half s-plane (h) # of closed-loop poles in right-half s-plane = (i) Phase Crossover Frequency LC(0) LG(jw₂) lim-+ LG(jw) = (d) What is the filter characteristic of the open-loop frequency response? Circle one: low-pass band-pass high-pass DC Gain of G(s): = # of open-loop poles Gain Margin Ga

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
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A negative unity-feedback LTI system has a forward element consisting of an amplifier with adjustable real-valued gain K in cascade with a transfer function G(s), the transfer function G(s) known to generate the polar plot sketched in Figure 3. Use the sketch to answer each of the following questions. Im (a) Evaluate: (b) Evaluate: :00-0₂ |C(0)|- G(jw₂) = 0 Figure 3: Polar Plot of G(jw) for w=0 to ∞ (c) Evaluate: lim |G(jw)| = lim (d) What is the filter characteristic of the open-loop frequency response? Circle one: (e) System Type of G(s):. (f) # of (finite) open-loop zeros a (g) # of open-loop poles in right-half s-plane = (h) # of closed-loop poles in right-half s-plane = (i) Phase Crossover Frequency WGM (j) Gain Crossover Frequency w = Re 30=0 LC(0) LG(jw₂) = LG(jw) low-pass band-pass high-pass DC Gain of G(s): # of open-loop poles = Gain Margin GM Phase Margin = (k) Determine the values of gain parameter K>0 that result in closed-loop stability. Stable range of K > 0: (1) Assume K satisfies the conditions of part (k). Determine the closed-loop steady-state error given a unit-step reference input. e(x) = (m) Repeat part (1) but given a unit-ramp reference input. c(∞0)
Transcribed Image Text:A negative unity-feedback LTI system has a forward element consisting of an amplifier with adjustable real-valued gain K in cascade with a transfer function G(s), the transfer function G(s) known to generate the polar plot sketched in Figure 3. Use the sketch to answer each of the following questions. Im (a) Evaluate: (b) Evaluate: :00-0₂ |C(0)|- G(jw₂) = 0 Figure 3: Polar Plot of G(jw) for w=0 to ∞ (c) Evaluate: lim |G(jw)| = lim (d) What is the filter characteristic of the open-loop frequency response? Circle one: (e) System Type of G(s):. (f) # of (finite) open-loop zeros a (g) # of open-loop poles in right-half s-plane = (h) # of closed-loop poles in right-half s-plane = (i) Phase Crossover Frequency WGM (j) Gain Crossover Frequency w = Re 30=0 LC(0) LG(jw₂) = LG(jw) low-pass band-pass high-pass DC Gain of G(s): # of open-loop poles = Gain Margin GM Phase Margin = (k) Determine the values of gain parameter K>0 that result in closed-loop stability. Stable range of K > 0: (1) Assume K satisfies the conditions of part (k). Determine the closed-loop steady-state error given a unit-step reference input. e(x) = (m) Repeat part (1) but given a unit-ramp reference input. c(∞0)
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