Discussion:(a) Construct the root-locus diagram for the unity feedback control system for whichthe G(s)H(s) has poles at 0, -2, - 5, then fill in the following table:Type of responseRange (value) of KOver dampedCritically dampedUnder dampedUndampedThe range of K for stable closed loop is:(b) For the system in (a), plot the unit step time response for critically danmped andunder damped cases.(c) What would be the root-locus diagram of the system in (a) when:There is a zero at -1. What would be the range of K for stable closed loop?There are two zeros at -1 and -4. What would be the range of K for stableclosed loop and the maximum overshoot?There are two zeros at -4 and -6. What would be the range of K for stableclosed loop and the maximum overshoot?

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(a) Construct the root-locus diagram for the unity feedback control system for which the G (s)H(s) has poles at 0, -2, - 5, then fill in the following table: Type of response Range (value) of K Over damped Critically damped Under damped Undamped The range of K for stable closed loop is: (b) For the system in (a), plot the unit step time response for critically damped and under damped cases. (c) What would be the root-locus diagram of the system in (a) when: There is a zero at -1. What would be the range of K for stable closed loop?

(a) Construct the root-locus diagram for the unity feedback control system for which the G (s)H(s) has poles at 0, -2, - 5, then fill in the following table: Type of response Range (value) of K Over damped Critically damped Under damped Undamped The range of K for stable closed loop is: (b) For the system in (a), plot the unit step time response for critically damped and under damped cases. (c) What would be the root-locus diagram of the system in (a) when: There is a zero at -1. What would be the range of K for stable closed loop?

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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QUESTION 1 A unity feedback system has open loop transfer function shown below. Find K1 so that the damping ratio = 0.4 and the peak time t,=2 seconds. Here the peak time tp = wa K1 s+ KzK2) HG(s) =
Explain how the Nyquist stability criterion can be used to determine the stability of a closed-loop feedback system. Formulate the criterion for a system with no right-half plane open-loop poles. Q4 (a) Continued overleaf Page 4 of 10
Question 2: For the Feedback Control system given in the figure. (a) Find the closed-loop transfer function, C(s)/R(s). (b) Determine the system's stability range for gain Kusing Routh-Hurwitz criterion. (c) What is the type of the system? (You need to convert the system to a simple unity feedback.) (d) Sketch the root-locus in Matlab (you need to use the open-loop transfer function with K= 1) and validate the stability region you found in (b). (e) Plot the step response up to 10 seconds for the input of 1.5u(t) and the gain value that makes the system marginally stable. for (f) Find the steady-state error for an input step of 1.5u(t) for K= 22 and plot this response together with the input up to 10 seconds in order to display the steady-state error you computed. (g) Find the steady-state error for an input ramp of 1.5tu(t) for K= 22 and plot this response together with the input up to 10 seconds in order to indicate the steady-state error you computed. R(s) K 1 s(s+2)(s+5) C(s)
Explain how the Nyquist stability criterion can be used to determine the stability of a closed-loop feedback system. Formulate the criterion for a system with no right-half plane open-loop poles. Q4 (a) Continued overleaf Page 4 of 10 (b) Consider the Nyquist plot of the frequency response of the system G(jw) = 500 - shown in Figure Q4 below. (jw+1)(jw+10)2 i. Explain how the gain margin can be obtained from the Nyquist plot and determine its approximate value from Figure Q4. What is the maximum value of an additional gain K for which the closed loop would still be stable? 0.5 -1 -1 -0.5 0.5 1 Real Axis Figure Q4 i. Explain how the phase margin can be obtained from the Nyquist plot and determine its approximate value from Figure Q4. Assuming that the corresponding point on the plot occurs at 4rad/s, what is the maximum delay which can be added to the system before the closed loop would become unstable? Sketch the approximate Bode diagram for the system in part (b) of the question,…
For a lead compensator whose zero is (-2,0) is used in a feedback control system to provide a phase lead of 45 .for desired pole location (S1=-2+3.3j), that represents the design specifications, this compensators pole is at
For the unity feedback system given below, the damping ratio of the closed looppoles is given by a) 1.5 b) 1 c) 0.5 d) 0.25
)) The Nyquist Plot of a system G(s) = in a unity feedback loop (Figure 3) is shown in Figure (s+1)² 4 for K = 1: a). Is the closed-loop system stable for K = 1? Justify your conclusion with Nyquist Stability Criterion ? b). Discuss the impact of the value of K, increasing or decreasing, on the closed-loop system stability and find the critical value of K in Nyquist Plot. Applying Routh-Hurwitz Criterion to validate your conclusions. R(s) + Y(s) G(s) Figure 3: Nyquist Diagram 15- 05 Real Asis
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3.) The block diagram of a feedback control system is shown in the following figure. Sketch the signal flow graph of the system. Explain Mason's gain formula. Obtain Y(s)/R(s) using Mason's gain formula. RIG). 62 G3 Hz. G4H
3- Consider the unity feedback system shown below. a)Find the range of k for which the closed-loop system is table. b)What is the steady-state error for unit ramp and step inputs.
how to find the closed loop poles and zeros on a tf like this by hand. With unity feedback.