Q4(а)The Nyquist stability criterion can be used to determine the stability of a closed-loop feedback system, based on the frequency response of the open-loopsystem.In your own words, state the Nyquist stability criterion for a systemwhich is open-loop stable.(i)(ii)Sketch a typical Nyquist plot and indicated the gain and phase margins.(iii)Describe how these stability margins can be determined from a Bodediagram.(b)Consider the plant10P(s) =(s + 1)(s + 10)and the controllerC(s) = 10Derive an expression for the frequency response G.(jw) for the openloop system G, (s) = C(s)P(s). What is the steady state open-loop gainof G, in dB?(i)(ii)Sketch the approximate Bode diagram for this system, clearly showingthe asymptotes and corner frequencies.(iii)Indicate the stability margins. What additional gain could be added tothe system before it would become unstable?100(c)Consider now a modified controller C(s) =s+1together with the plant P(s)from (b).(i)Sketch the Bode diagram of the modified system and explain how it haschanged from the Bode plot in (b).(ii)Comment on changes of the stability margins. What is the additionalgain which could now be added to the system before it would becomeunstable?

Control systems are represented by a transfer function. This can be written in both time domain and…

Q4 (a) The Nyquist stability criterion can be used to determine the stability of a closed- loop feedback system, based on the frequency response of the open-loop system. In your own words, state the Nyquist stability criterion for a system which is open-loop stable. (i) (ii) Sketch a typical Nyquist plot and indicated the gain and phase margins. (iii) Describe how these stability margins can be determined from a Bode diagram.

Q4 (a) The Nyquist stability criterion can be used to determine the stability of a closed- loop feedback system, based on the frequency response of the open-loop system. In your own words, state the Nyquist stability criterion for a system which is open-loop stable. (i) (ii) Sketch a typical Nyquist plot and indicated the gain and phase margins. (iii) Describe how these stability margins can be determined from a Bode diagram.

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) 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)
(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)
e. f. a. An ideal feedback amplifier is given as block diagram. According to feedback topology do the required calculations and fill the blanks. Show your calculation steps as well. b. C. The type of feedback applied to this circuit is Forward direction transfer function is Feedback transfer function is d. Value of open loop gain of the amplifier is. Value of feedback loop gain of the amplifier is.. 1 Considering that V₁ = 100mV; V=99mV; V, = 5V. Show all the required calculations. Value of closed loop gain of the amplifier is ... amplification. ..amplification. ..(Calculate and write with unit) ..(Calculate and write with unit) ..(Calculate and write with unit)
Find the expression for the open loop gain Rm (=Output voltage/Input current). Get the expression for Ro,cl (closed loop output resistance).
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. (a) (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 -0.5 -0.5 0.5 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, clearly showing the asymptotes and corner…
Q4 (а) The Nyquist stability criterion can be used to determine the stability of a closed- loop feedback system, based on the frequency response of the open-loop system. In your own words, state the Nyquist stability criterion for a system which is open-loop stable. (i) (ii) Sketch a typical Nyquist plot and indicated the gain and phase margins. (iii) Describe how these stability margins can be determined from a Bode diagram. (b) Consider the plant 10 P(s) = (s + 1)(s + 10) and the controller C(s) = 10 Derive an expression for the frequency response G,(jw) for the open loop system G, (s) = C(s)P(s). What is the steady state open-loop gain of Go in dB? (i) Sketch the approximate Bode diagram for this system, clearly showing the asymptotes and corner frequencies. (ii) (iii) Indicate the stability margins. What additional gain could be added to the system before it would become unstable? 100 (c) Consider now a modified controller C(s) = s+1 together with the plant P(s) from (b). (i)…
5 Q4 A For the system described by It is desired to have eigenvalues at -3 and -5 by using a state-feedback control u = -K.x. Determine the necessary feedback gain matrix K and the control signal 12.
As far as signals & sytems(s&s) is concerned, discuss using s&s concepts in summary, how a feedback system can be utilized in controlling a gas cooker in a restaurant.Also make a simple block diagram sketch of the feedback system.
2-) The AC equivalent of a feedback amplifier circuit is given in the figure on the right. (Hfe100, Va = ∞, Ic1 = 15 mA, Ic2 = 5mA and Ic3 = 5 mA) a) State the type of feedback used in the circuit, explaining the reason. b) Draw the small signal equivalent of the amplifier circuit. c) Calculate the value of β for the feedback by drawing the β circuit. d) Find the Avf = Vo / Vs closed loop gain of this circuit. e) Find the Rif and Rof values.
What is a typical value of open-loop, low-frequency gain of an op-arop circuit? How does this compare to the ideal value?
identify the following 1. It characterizes the feedback system stability and transient properties.2. Is the product of the transfer functions of all branches that form the loop.3. Form of blocks in series that can be algebraically combined by multiplication of transfer functions.
how to find the closed loop poles and zeros on a tf like this by hand. With unity feedback.