Q1. For the second order system shown below:1.Range of gain (kl, k2) for which the closed-loop system in is stable should be obtainedprecisely.2. Plot the range of the-k, on the real axis and k2 on the imaginary axis.3.Assume (kj = k2 = u=1),compute the ESS.4. For ramp input(u) and the gain values as in 3, determine the ESS.5. If ESS #0 in 3 and u(t) = t, modify (k,s+k2)/s) controller to make ESS = zero.6. Verify your results.k,s + k,1uys+10

Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q1. For the second order system shown below: 1. Range of gain (kl, k2) for which the closed-loop system in is stable should be obtained precisely. 2. Plot the range of the-k, on the real axis and k2 on the imaginary axis. 3. Assume (k = k2 = u=D1),compute the ESS.

Q1. For the second order system shown below: 1. Range of gain (kl, k2) for which the closed-loop system in is stable should be obtained precisely. 2. Plot the range of the-k, on the real axis and k2 on the imaginary axis. 3. Assume (k = k2 = u=D1),compute the ESS.

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

See similar textbooks

Related questions

Q: Q1 (A): Sketch the Nyquist plot of the unity feedback system that shown in figure (1). Is the close…

Q: 1) Consider the system described by the transfer function: (s² + 16s + 15) G(s)H(s) = 13 1. (s2 +…

A: Given the transfer function: G(s)H(s)=s2+16s+15s2+135s+14s2+360s+28800 In the first part we need to…

Q: Consider the unity-feedback control system with the following feedforward transfer function: K G(s)…

Q: Q3 (а) An operational amplifier circuit with voltage series feedback configuration has the following…

A: The solution is given below

Q: Consider a unity-feedback system with the process transfer function 1 P(s) (s+1)² Answer the…

A: According to question: a) The integral controller that gives a closed loop pole at s=-a is…

Q: Consider the open-loop transfer function of a negative feedback system, G(s) = K(s+3) s(8-1) Which…

A: Here we discuss about the stability of control system.

Q: 1. Consider the unity feedback system below R(s) + E(s) C(s) G(s) K G(s) (s + 4)³ 2. Find the…

A: Solve first three sub-parts in a multiple sub-part question, unless the student has asked for…

Q: Using Mason's gain formula calculate the closed-loop transfer function for the control system given…

A: For the given SFG we use Mason's gain formula to calculate the close loop transfer function. We need…

Q: We are given a system's transfer function as 4. T(s) = %3D s2-4 Construct a state-space model for…

A: We have provided transfer function of system, T(s)=4s2-4 To have closed loop as -2±j2 consider…

Q: Ex. 460. G(s)=k(s+58)/(s(s+53)) is the forward cransfer function of a unity- feedback closed-loop…

Q: 7. Consider the closed-loop system in Figure. Suppose that all gains are positive, that is, K1 : 0,…

A: Given; The gains are all positive, that is ,K1>0,K2>0,K3>0,K4>0 and K5>0

Q: Given is a feed-forward transfer function G(s) of some system, where K is an adjustable parameter. K…

A: Due to guidelines. we can solve only first three sub part of the question . if you want another…

Q: EXERCISE 3.2 1. (a) Draw the block diagram of the feedback system and derive an equation to show…

A: In this given question we are define feedback system , negative feedback reduce the gain of an…

Q: The transfer function of the plant in a feedback control system, Gp(s), and the transfer function of…

Q: (a) Calculate the sensitivity of the closed-loop gain A, with respect to changes in open-loop gain…

A: a) The expression for the closed loop gain is given as, Partial differentiate AV w.r.t to A then,…

Q: Q.2) For the below unity feedback system shown in figure a, M(s) is added (as shown in figure b) to…

A: The steady-state error of any system depends on two factors. Types of input given to the system Typ…

Q: I need to answer of this Control System Question

A: Given data : Gs=ks(s+3)(s+5)

Q: (9) The Bode diagram of the open-loop transfer function G(s) of a unity feedback control system is…

A: As per the guidelines we can solve only three subpart of a Question.

Q: A closed-loop feedback system is shown in following figure R(s) 1 C(s) s(s+1)(s+3) 1+ Ks (1) Find…

A: Formula to calculate close loop transfer function is: C(s)R(s)=G(s)1+G(s)H(s)where G(s) is forward…

Q: For the unity feedback system shown in Fig. Q4(b), where K G(s) = s(s +3)(s+4)(s+8) R(s) C(s) G(s)…

Q: Problem 2: For a unity feedback system where the plant is defined as K G(s) = s(s +3)(s +5) a.…

A: Dear student please find the attachment.

Q: Consider the feedback system below for which we want to design a controller K neeting some stability…

Q: Consider a unity negative feedback system with loop transfer function shown in Figure where…

A: The given loop transfer function is: L(s)=GcsG(s)=Ks2+6s+1s2+5s+1 The given closed-loop system is…

Q: Q1: The open loop transfer function of unity feedback system is 3000 G(s) %3D s(s+5)(s+20) 1- Assess…

Q: )) The Nyquist Plot of a system G(s) = in a unity feedback loop (Figure 3) is shown in Figure (s+1)²…

A: Answer -

Q: Q.2) For the below unity feedback system shown in figure a, M(s) is added (as shown in figure b) to…

A: The unity feedback system is shown below, Now, block M(s) is attached to make steady-state error…

Q: Consider a unity feedback system with a forward transfer function, G(s) = = K s(s+ 2)(s + 10) (a)…

Q: Q.2) For the below unity feedback system shown in figure a, M(s) is added (as shown in figure b) to…

Q: Problem 4: Consider the following feedback system with controller parameters k, = 10 and k 1=5. %3D…

Q: An open-loop transfer function, KG(s) of a unity feedback system is given by: G(s) = s²–2s+4 (s+5)…

A: Part (a): Consider the open-loop transfer function, Gs=s2-2s+4s+5=s-1+j1.73s-1-j1.73s+5 The number…

Q: The oscillator circuit shown in the figure below has a positive feedback transfer function of sRL B…

Q: A block diagram for a feedback control system subjected to a unit step input is shown in Figure Q2…

Q: 1. For a stable closed loop system, the gain margin at phase crossover frequency should always be:…

A: As per the guidelines of Bartley we supposed to answer first three subpart only

Q: 9

Q: Q8. For the second order system shown below: 1. Range of gain (kl, k2) for which the closed-loop…

Q: Ex. 440. G (s)=k/ ( (s+2)(s+ 8)) is the FTF of a unity-feedback closed-loop system. respect to k.…

Q: We consider a regulation system with a proportional regulator described by a constant transfer…

Q: 7.14 The loop transfer function of a unity feedback system is K(s + 2)(s + 3) L(s) = G.(s)G(s) = %3D…

A: Given: Transfer function L(s) = Gc(s)G(s)=K(s+2)(s+3)s2s+1(s+15)(s+20) Type of feedback = unity

Q: Q.4/ The characteristic polynomial of a feedback control system, which is the lenominator of the…

Q: (b) For the unity feedback system shown in Fig. Q4(b), where: K(s+ 2) (s² – 4s + 13) G(s) = R(s)…

A: Root locus

Q: Given the forward-path transfer function of a unity feedback control systems, K(s+ 4)(s+20) G(s) =-…

A: As per our guide lines I solved only 1.

Q: 1. Referring to the unity-feedback control system defined by: K(s+3) G(s) (s² + 3s + 4)(s² + 2s + 7)…

A: An unity feedback system is a system which receive a unity feedback

Q: A unity feedback system is shown in Figure Q1. R(s) C(s) K G() Figure Q1 Given that K(s -4s +8) G(s)…

A: Since you have asked multiple questions in a single request, we will be answering only the first…

Q: Q.2) For the below unity feedback system shown in figure a, M(s) is added (as shown in figure b) to…

Q: . For the unity feedback system shown in figure find the location for compensating pole for…

A: Solution- Given,ωn= 2.91 r/sZc = 3 so, Gs = Ks-3ss+4s+8Characteristics Equation,1+GsHs…

Q: In the following unity feedback system, let, G(s) = K and H(s) =1 and; %3D (s+1) a. Calculate the…

A: The range of values of k is determined for the system to be stable

Q: Q.2) For the below unity feedback system shown in figure a, M(s) is added (as shown in figure b) to…

Q: Derive the closed loop gain for the circuit shown in Fig.2 and find the gain value. 220 k2 Vout…

A: As the supply is at non inverting terminal so it is a NON - INVERTING op-amp. The closed loop gain…

Q: 1. For the open-loop transfer function, G(s), given below, in a unity negative feedback closed loop…

A: From the open loop transfer function there are four poles and are located at : s=0,-1,-2,-4 There is…

Q: 10 For a plant with transfer function G, , design a closed loop system with a proportional…

Question

Q1. For the second order system shown below:
1.
Range of gain (kl, k2) for which the closed-loop system in is stable should be obtained
precisely.
2. Plot the range of the-k, on the real axis and k2 on the imaginary axis.
3.
Assume (kj = k2 = u=1),compute the ESS.
4. For ramp input(u) and the gain values as in 3, determine the ESS.
5. If ESS #0 in 3 and u(t) = t, modify (k,s+k2)/s) controller to make ESS = zero.
6. Verify your results.
k,s + k,
1
u
y
s+10

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Step by step

Solved in 3 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.

Similar questions

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.
Question 02: A system has a gain k in series with an open-loop transfer function given by G(s): a) Check, by means of the Routh-Hurwitz method, the range of values of k that makes the system stable. b) Also using the Routh-Hurwitz method, show what value of gain k makes the system response undamped. Calculate the value of the dominant poles for this case.
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?
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.
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.
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?
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
are given a system’s transfer function as T(s) = 21 Construct a state-space model for the given system using ” Observer Canonical Form” method. | that the full state information of this system is available, design a state-feedback controller for this put the desired closed loop poles at ~2+ 2. Now, assume that the state information of the system are measurable, for this case what kind of controller do you suggest? Design this controller so that the ¢ Joop poles of the system are located at —10 + 510.
The circuit as shown is a shunt-shunt feedback amplifier. Use feedback analysis to find the midband input resistance, output resistance, and transresistance of the amplifier if RI = 500 Ω, RE = 2 kΩ, β0 = 100, VA = 50 V, RL = 5.6 kΩ, and RF = 47 kΩ, when vi and RI are replaced by a Norton equivalent circuit. What is the voltage gain for the circuit as drawn?
The feedback ampliﬁer shown has R1 = 1kΩ, R2 = 100 kΩ, RI = 0, and RL = 10 kΩ. (a) What is β? (b) If A =92 dB, what are the loop gain T and the closed loop gain Av? (c) What are the values of GE and FGE?