1. Find the equivalent transfer function of the negative feedback system shown inR(s)C(s)Ks(s+2)²1Find values of gain K that will yield closed-loop poles that ensure (a) an overdampedresponse, (b) an under-damped response, (iii) a critically damped response. Showthe pole locations for each case in a rough graph mentioning the corresponding valueof K.Find a value of the gain K that will make the system marginally stable.Find the associated frequency of oscillation. show the pole locations for each case ina rough graph mentioning the corresponding value of K.

The negative feedback system is shown in figure The open-loop transfer function is G(s)=Ks(s+2)2…

Answered: 1. Find the equivalent transfer…

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 unity feedback system is shown in Figure Q1. R(s) C(s) K G(S) Figure Q1 Given that K(s-4s +8) G(s) = (s+4)(s +10) %3D From the given open-loop transfer function, G(s) detemine the following: ) The imaginary erossing of the root locus of the closed-loop transfer function. Hence the gain at that crossing. (i) The arrival angle of the root locus of the closed-loop transfer function. (iii) The breakaway point of the root locus of the closed-loop transfer function is given as s=-6.05. Hence, determine the gain at that point. (iv) Using the information gathered from (i) until (ii), sketch the root locus of the closed- loop transfer fiunction. (v) Hence determine the range of gain K for the underdamped stable system and the critically damped system.
Q1 (A): Sketch the Nyquist plot of the unity feedback system that shown in figure (1). Is the close loop system stable? Find the Gain Margin (GM). R(s) C(s) G(s) = = 120 s(s+2)(s+3) G(s) Figure (1) 10(s² +15 s+56) Q1 (B): For G(s) = = Find ZG (jw) for w = [0.1 1 10 100 1000] " s3-2s²+s-2
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Copy the control system shown in Figure Q2 into your answer book, labelling the actual output, control signal, desired output, plant, feedback and error signal. Q2 (a) 2 Σ K+ K, (s+1)(s+2) Figure Q2 (b) Determine the closed-loop transfer function for the system shown in Figure Q2 and hence obtain the characteristic equation for the system. Using Routh 's stability criterion, find the range of the controller gains (K, Ki) for which this system is stable. (c) For the system shown in Figure Q2, find the frequency, jo, and gain, Kı, for which the root locus crosses the imaginary axis (assume K = 1). (d) (e) What would you expect to see for the frequency, calculated in part (d), when you decrease K below 1.
Please solve all with the equations in detail and diagrams whenever required
Q\ Solve the following questions while giving the reason for each point 25. Each RC circuit in an op-amp (a) causes the gain to roll off at -6 dB/octave (b) causes the gain to roll off at-20 dB/decade (c) reduces the midrange gain by 3 dB (d) answers (a) and (b) 26. If a certain op-amp has a midrange open-loop gain of 200,000 and a unity-gain frequency of 5 MHz, the gain-bandwidth product is (a) 200,000 Hz (b) 5,000,000 Hz. (c) 1 x 1012 Hz (d) not determinable from the information 27. The bandwidth of an ac amplifier having a lower critical frequency of 1 kHz and an upper critical frequency of 10 kHz is (a) 1 kHz (b) 9 kHz (c) 10 kHz (d) 11 kHz 28. The bandwidth of a de amplifier having an upper critical frequency of 100 kHz is (a) 100 kHz (b) unknown (c) infinity (d) 0 kHz 29. When negative feedback is used, the gain-bandwidth product of an op-amp (a) increases (b) decreases (c) stays the same (d) fluctuates 30. If a certain op-amp has a closed-loop gain of 20 and an upper critical…
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R, OV OUT + Complete the analysis showing that Vo/Vin = -Rf/Rin Let currents be defined as 1 equals the current flowing through Rin from left to right 12 equals the current flowing into the Opamp 13 equals the current flowing through the feedback resistor from left to right. Write the KCL equation in terms of 11, 12, and 13 at the inverting node of the Op-Amp. O There is no current flowing in the circuit O 12 = 11 + 13 O 11 = 12 + 13 11 + 12 = 13
Q1) A closed loop system is shown below the input is R(s) and the output is Y(s) (s + 1) (s + 4) 1 1 (s – 3) Y(s) a) Determine the closed loop transfer function R(s) b) Derive the equivalent state space model c) Hence from the state space model Sketch a block diagram model for the system
control system answer all step by step
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The open-loop transfer function of a unity feedback system is given by G(s)=(5(s+1))/(s2(s+2)). The stability characteristics of the open-loop and closed-loop configuration are respectively: Choices: stable and stable unstable and unstable unstable and stable stable and unstable

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