B-7-17. A Nyquist plot of a unity-feedback system with the feedforward transfer function G(s) is shownin Figure 1.(a) If G(s) has one pole in the right-half's plane, is the system stable?(b) If G(s) has no pole in the right-half's plane, but has one zero in the right-half's plane, is thesystem stable?G(jw)ImFigure 1. Nyquist plot.0Re

Answered: B-7-17. A Nyquist plot of a…

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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a) Find the close loop transfer function of the following system through block diagram simplification b) Convert the block diagram in a) into a signal flow graph
=. The block diagram of a multiple-loop feedback control system is shown in the following figure, please find the transfer function of C(s)/ R(s) H,(s) R(s) G,(s) G,(s) C(s) G,(s) H,(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,…
(A): Convert the Block Diagram showing in figure (2) to a Signal-Flow Graph (SFG). (B): Reduce the block diagram shown in figure (2) to a single transfer function Y(s)/R(s). (C): For the close loop system, find the values of damping ratio (), natural frequency (wn), percent overshoot (%OS), Peak time (Tp), Rise time (Tr), and settling time (Ts) Y(s) 2500 %3D R(s) s2 + 50 s + 2500 R(s) Y(s) 1 1 K s+0.4 2+1.7s+0.25 G1(s) G2(s) G3(s) Figure (1) 0.1 s+0.1 H(s) R(s) V1(s) V2(s) G1(s) V4(s) V5(s) Y(s) G3(s) G4(s) V3(s) Figure (2) G2(s) V6(s) H(s)
Draw a Nyquist plot for the unity-feedback control system with the open-loop transfer function 1 = G(s) s(S-2) Using Nyquist stability criterion, determine the stability of the closed-loop system.
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)
Consider the following feedback amplifier circuit. Assume lambda= 0, VDD RD2 R01 VinM₁ M₂ -Vout Select one: O a. none of these R₂ the open loop input resistance RinoL and the closed loop input resistances RincLare respectively: O b. RinoL = 1/gm and RincL= 1/gm(1+kA1) O C. RinoL = ∞o and Rincl= (1+ KA1) d. RinoLand RinCL = 00
An uncompensated system shown in Figure 3(a) has forward transfer function G(s) with a unity feedback. a. Design a phase lead compensator shown in Figure 3(b) cascaded with the uncompensated system shown in Figure 3(a) that will have a 40% or better improvement of the settling time, at least 3 times improvement in percent overshoot. Assume a compensator zero at (given value zc = -10).Show all the complete solution.
For the feedback control system given in the figure on the right, R(s) + (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? (Hint: you need to convert the system to a simple unity feedback.) K 1 s(s+2)(s+5) C(s) (d) Sketch the root-locus in Matlab (hint: 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 responses up to 10 seconds for the input of 1.5u(t) when the gain K = 22 and has the value that makes the system marginally stable on the same plane. (f) Calculate the steady-state error for the input step of 1.5u(t) for K = 22. Confirm the result with the related plot you obtained in (e). (g) Calculate the steady-state error now for an input ramp of 1.5tu(t) for K = 22 and plot this response together with the input function up to 10 seconds in order to indicate the steady-state error…
Use the PAL with a feedback portion below to implement the following function:
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
Given the feedback circuit below and assuming the voltage amplifier has gain A₂, input resistance R₁ and output resistance Ro, answer the following questions: + a. Loop gain b. Closed loop gain Re C. Input resistance d. Output resistance Rin м + RE A) Sketch the feedback small signal model of this circuit. (Hint: You may convert the input VIN and source resistance Rs to its Norton current equivalent if needed) B) Find the following in terms of the amplifier parameters and resistances R, and RF: Rout

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