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A feedback control system has the structure shown in the figure below. Determine the closed-loop transfer function Y(s)/R(s) R(S) K₁ s+1 K₂ -15 Y(s) (a) by block diagram manipulation (Hint: Try using 4th transformation from Table 2.5 to get started) (b) by using a signal-flow graph and Mason's signal-flow gain formula. (c) Select the gains K1 and K2 so that the closed-loop response to a step input is critically damped with two equal roots at S = -10. (Hint: For Critically Damped the Characteristic Equations will have identical roots and might look like (s+somthing)^2) Answer: K1=100 and K2=0.19 (d) Plot the critically damped response for a unit step input. What is the time required for the step response to reach 90%

A feedback control system has the structure shown in the figure below. Determine the closed-loop transfer function Y(s)/R(s) R(S) K₁ s+1 K₂ -15 Y(s) (a) by block diagram manipulation (Hint: Try using 4th transformation from Table 2.5 to get started) (b) by using a signal-flow graph and Mason's signal-flow gain formula. (c) Select the gains K1 and K2 so that the closed-loop response to a step input is critically damped with two equal roots at S = -10. (Hint: For Critically Damped the Characteristic Equations will have identical roots and might look like (s+somthing)^2) Answer: K1=100 and K2=0.19 (d) Plot the critically damped response for a unit step input. What is the time required for the step response to reach 90%

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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Just wanted to check this practice problem for controls to make sure everything is correct. Have a general sense of what I am doing but want to make sure my answers are correct for an upcoming test
A feedback control system has the structure shown in the figure below. Determine the closed-loop transfer function Y(s)/R(s) R(S) K₁ s+1 K₂ -15 S Y(s) (a) by block diagram manipulation (Hint: Try using 4th transformation from Table 2.5 to get started) (b) by using a signal-flow graph and Mason's signal-flow gain formula. (c) Select the gains K1 and K2 so that the closed-loop response to a step input is critically damped with two equal roots at S = -10. (Hint: For Critically Damped the Characteristic Equations will have identical roots and might look like (s+somthing)^2) Answer: K1=100 and K2=0.19 (d) Plot the critically damped response for a unit step input. What is the time required for the step response to reach 90% of its final value (Determine Graphically)?
Transcribed Image Text:A feedback control system has the structure shown in the figure below. Determine the closed-loop transfer function Y(s)/R(s) R(S) K₁ s+1 K₂ -15 S Y(s) (a) by block diagram manipulation (Hint: Try using 4th transformation from Table 2.5 to get started) (b) by using a signal-flow graph and Mason's signal-flow gain formula. (c) Select the gains K1 and K2 so that the closed-loop response to a step input is critically damped with two equal roots at S = -10. (Hint: For Critically Damped the Characteristic Equations will have identical roots and might look like (s+somthing)^2) Answer: K1=100 and K2=0.19 (d) Plot the critically damped response for a unit step input. What is the time required for the step response to reach 90% of its final value (Determine Graphically)?
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