I need the answer as soon as possible Q2: a) A unity feedback control system has the forward transfer functionKG(s) =s(s+2)(s+3)The input r (t) 3+tis applied to the system. It is desired that e,<0.01.Determine the minimum value of K to the satisfy the requirement.Q2: b) Consider a unity feedback control system with a forward T.FKG(s) =s(s +3)Sketch the root-locus plot and then determine the range of values of K sothat the system is over damped, critical damped and under damped.

In the question, Unity feedback control system transfer function. Determine the value of k for…

Answered: Q2: a) A unity feedback control system…

Power System Analysis and Design (MindTap Course List)

6th Edition

ISBN:9781305632134

Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Chapter12: Power System Controls

Section: Chapter Questions

Problem 12.3P

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Consider the feedback system given the open loop transfer function below G(s)H(s) = K / ( S (s+3) (s+2)) a) Using the Routh-Hurwitz criterion, for which value of K, the poles of the closed-loop system take the pure imaginary value.b) What will be the maximum value of K for the system to be stable?c) Calculate the value of K, where the real value of the complex root of the system is Re{s}=-1. Tip 1: Closed loop transfer function T(s) = G(s) / ( 1+ G(s)H(s)) .Routh HurwitzIn order to perform the criterion analysis, the denominator of the closed-loop function will be examined. Tip 2: The real value of the system complex root Re{s}=-1 is expressed by the following formula f^2(s) = p(s-1) p(s) is the payoff of the closed-loop function.
A unity-feedback system has forward transfer function (see attached). a) Sketch the root locus for this system as K varies from 0 to ∞; b) Use the Routh-Hurwitz test to determine the range of K for the system to be stable; show this value of K on the root locus plot.
BelowIn the unit feedback system given the shape, G(s),is given as. When a unit ramp is applied to the input of the system, 2% of the steady-state error and unit to the inputWhen the step is applied, it is desired that the percentage exceedance rate is 9.25% and the settling time is 0.58 s.1-In this case, which of the following is the approximate value of the constant a? 2-In this case, which of the following is the approximate value of the constant b? 3-Looking at the unit step response of the systemWhat is .peak time?
Consider a unity negative feedback system with loop transfer function shown in Figure where L(s)=GcG(s)=K(s2+6s+1)(s2+5s+1)L(s)=GcG(s)=K(s2+6s+1)(s2+5s+1) Determine the value of K for which the closed-loop system is stable.
Consider the unity-feedback control system with the following feedforward transfer function: G(s) = K / s(s2+4s+5) (1) Plot the root locus. (2) Determine closed-loop poles that have the damping ratio of 0.5. Find the gain value K at this point. (3) For what value of K is the overshoot less than 10% and the maximum rise time less than 1.5s.
Consider unity negative feedback applied to the system: G(s) = k/s(s^2+4s+5) (a) Give a complete sketch of the root locus (0 ≤ k ≤ ∞) for this system assuming a unity feedback configuration. Make sure you show all the significant features on your sketch. Give particular attention to the angle of departure from the complex poles. (b) Indicate on your root locus diagram the point at which the damping ratio of the dominant poles is 0.5.
Consider the unity feedback system with the following root locus for K>0. Find the approximate value of K which leads to the maximum possible overshoot of the closed loop system. Also, find all ranges of K for which the system is overdamped and as well as the steady state error to a unit step input.
The voltage gain of an ampliﬁer is described by A(s)= 4π2 ×1018s2 / (s+200π)(s+2000π)(s+2π ×106)(s+2π ×107) (a) What are the mid-band gain and upper- and lower-cutoff frequencies of this ampliﬁer? (b) If this ampliﬁer is used in a feedback ampliﬁer with a closed-loop gain of 100 , what are the upper-and lower-cutoff frequencies of the closed-loop ampliﬁer? (c) Repeat for a closed-loop gain of 40.
An op amp has a dc gain of 100 dB and a unity-gain frequency of 10 MHz. (a) What is the bandwidth of the op amp? (b) If the op amp is used to build a noninverting ampliﬁer with a closed loop gain of 60 dB, what is the bandwidth of the feedback ampliﬁer? (c) Write an expression for the transfer function of the op amp. (d) Write an expression for the transfer function of the noninverting ampliﬁer.
State and derived an expression for the closed loop gain of the circuit shown in fig. (2) i need the answer in 30 minutes please
The open loop transfer function of unity feedback system is ??(??) = ??????????(??+??)(??+????).1- Assess the stability of the system.2- If the gain ?? is connected in series with G(s) as shown in figure Q1, Determine the range of ?? for stable system.
For the feedback amplifier circuit shown below, find the output voltage if the parameters of the circuit are as follows: R1 = 5.3 kΩ, R2 = 5.5 kΩ, V1 = 3.8 mV, V2 = 6.6 mV. Give the answer calculated to 1.d.p.

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