A Unity feedback system has the closed-loop transfer function T(s)= K (s +50)+K Using root locus method, determine the value of the gain K so that the closed-loop system has a damping ratio of 2 (a) K= 2025 (b) K= 10500 (c) K= 1012 (d) K= 833

A Unity feedback system has the closed-loop transfer function T(s)= K (s +50)+K Using root locus method, determine the value of the gain K so that the closed-loop system has a damping ratio of 2 (a) K= 2025 (b) K= 10500 (c) K= 1012 (d) K= 833

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...

See similar textbooks

Related questions

Q: Given figure shows a unity feedback system. The ratio of time constants for open loop and closed…

A: Given are the first order systems. Hence the time constants for the open loop and closed loop…

Q: Given a unity feedback system with G (s) =K/ s (s+4). What is the value of K for a damping ratio of…

A: Given: Transfer function is Gs=K/ss+4 Feedback is unity Hs=1 Damping ratio is ζ=0.5

Q: Σ (Σ R(s)- Kp + Y(s) s(s + 7) a) Write the closed-loop transfer function for the system b) Determine…

Q: QUESTION 4 Consider the root locus of a unity feedback system that has the open loop transfer…

A: Angle of departure is calculated whenever we have complex poles. Mathematically it is defined as…

Q: A unity feedback system has a forward transfer function as shown in Figure 3(a). K Rís)- Glo)-…

Q: Obtain the closed loop transfer function of the system given in the figure below by using the…

Q: Q.3/ Sketch the root locus of the unity feedback system shown in Figure 2, where K(s+1) G(s) = s(s +…

A: Given Transfer function The characteristic equation

Q: A unity Feedback system is characterized by open loop transfer function G(s) = K / S(S+40) %3D The…

A: we will find closed loop transfer function and we will compare with standard second order transfer…

Q: Consider a feedback system with closed loop transfer function. Is the system stable? 4 T(s) s3 + 4s2…

Q: Q3: For the unity feedback system with G(s)= (s+3)(s² +4s+ 5) Do the following: a). Find the…

A: According to Bartleby guidelines we are supposed to solve only first 3 subparts. kindly repost the…

Q: The open-loop transfer function for a unity feedback system is: k G(s) = (s² + 2s + 2)(s+2) (a) Draw…

Q: Q2-The open-loop transfer function of a unity feedback control system is find: 40.69 10 (0.5 s²+s)…

A: Closed-loop systems that employ feedback enhance control by automatically altering the controller…

Q: The open loop function of a unity feedback system is given by G(s) = 32 / S(S+1.7) (a) Determine (i…

Q: .32 The feedback system shown in figure below is stable for all values of k given by k s(s+ 1) (s +…

A: Given, Feedback system, Here, Gs=kss+1s+6Hs=1

Q: To design a system the loop transfer function of a feedback system is 5(s – 3) G(s)H(s) = s(s+1)(s –…

A: According to question: a) Nyquist contour:

Q: A unit feedback system has the following forward gain function. Calculate magnitude and phase angle…

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

Q: A unity feedback system has an open-loop transfer function K G(s) s(s+10)* If the damping ratio is…

A: Given: Open loop transfer function, Gs=Kss+10 With unity feedback, Hs=1 Damping ratio, ζ=0.5

Q: Consider the feedback system in Figure Q4 with controller G.(s)= and plant s+a 100 G,(s)=- s+25…

A: GIVEN: GC(s)=KS+aGp(s)=100s+25 FIND: gain equation and pole location of compensator…

Q: Given a unity feedback system that has the forward transfer function R(s) K(s + 3) s(s + 2)(s + 4)(s…

A: Given: For a unity feedback Hs=1 closed loop system, the forward transfer function is…

Q: 4. a) Sketch the root locus plot for the following unity feedback system b) Using the Routh-Hurwitz…

Q: (c) In the feedback system shown in Figure 4. let K s+1 H(s) = ,B(s) = S-2 Find the open loop…

Q: The block diagram of a feedback system is shown in the figure. Input - Output s(s+3) G>0 Step…

A: Evaluating the transfer function of the system:

Q: he block diagram of a feedback system is shown in the figure. Input - + Output s(s+3) G>0 Step…

A: The transfer function of the system is given as:

Q: 1 C = [1 0 0] A = 1 B = -5 -6 Determine the controllability and observability of this system. Q2)…

Q: Q3: For the unity feedback system with G(s)= (s+3)(s² +4s+5) Do the following: a). Find the location…

Q: In the unity-feedback system of Figure 1, let K(s + 1)² s(s - 1)(s - 4) 2. G(s) Determine the range…

Q: Q.6) For the unity feedback system of Figure below, where Rs) K (s² –3s +2) G(s)= 2. s*+s Sketch the…

Q: A unity feedback system has an open loop function G(s) = s(s+2)(s+4) Make a rough sketch of root…

Q: so that the system with open loop transfer function has a closed loop

Q: 3. Consider the closed-loop system in the following figure where 14 G(s) = K and H(s) = s + 10 s² +…

A: As per the guideline of our bartleby we have to solve 1st three subpart of the given question for…

Q: Consider the root locus of a unity feedback system that has the open loop transfer function shown…

Q: (1) Root loci are usually plotted for variations in the gain. Sometimes we are interested in the…

A: Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: he open-loop transfer function of a system is given as: 1 G(s) = 2s3 + s2 + 14s Draw a unity…

A: Given

Q: Given the feedback system below, solve for the following ratios: a) Closed loop ratio b) Error Ratio…

Q: For the unity feedback system shown below, specify the gain and pole location of the compensator so…

A: Given that For the unity feedback system shown below, specify the gain and pole location of the…

Q: 7: A negative feedback system has a loop transfer function (a) Find the value of the gain when the…

Q: A unity feedback system has a transfer function as follows; G(s)H(s) = K. s(s2+2s+2) %3D Draw an…

Q: Q3) Consider a unity-feedback control system with the following feedforward transfer function: k…

A: Note : In 2nd question root locus has to be find by Matlab which is practical based so i am doing…

Q: 2. Plot the root loci for the unity-feedback system whose feed-forward transfer function is: K(s+9)…

A: The open loop transfer function of the given unity feedback system is G(s)=K(s+9)s(s2+4s+11) The…

Q: Q2/ For a unity feedback`system the open loop transfer function is given by: K G(S)=- S(S+2)(S +2S…

Q: A unity feedback system has the open loop transfer function shown below. Find the steady state error…

A: We need to find out the steady state error when input is a unit step for the given open loop…

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

Q: Ex. 460. G(s)=k (s+82)/(s(s+77)) is the forward transfer function of a unity- feedback closed-loop…

A: First we will find out the break points then we will find out k at these points .

Q: G(s)=k(s+96)/(s(s+88)) is the FTF of a unity-feedback closed-loop system. Sketch the root locus with…

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

A: (a) Open loop transfer function is given as ; It is a unity feedback system . Characteristics…

Q: c) Design a block diagram of a basic closed-loop feedback system for H(S) = %3D 8s2+72 with…

Q: The

Q: A unity feedback system has an open loop transfer function G(s) = 2/(S-1) 1. Is the open loop…

Q: For the feedback control system given in the figure on the right, R(s) + C(s) K s(s + 2)(s+5) (a)…

A: Note -As per the Bartleby portal I am doing the first three mentioned question...only i.e., d, e and…

Question

A Unity feedback system has the closed-loop transfer function T(s)=
K
(s +50)+K
Using root locus method, determine the value of the gain K so that the closed-loop
system has a damping ratio of
2
(a) K= 2025
(b) K= 10500
(c) K= 1012
(d) K= 833

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 4 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 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
Q2) Consider the following feedback system outlined in Figure Q2 Plant R(s) 10 C(s) S+1 Figure Q2 a) Derive the closed loop transfer function GRe(s). b) Calculate the value of Ky that will result in the closed loop system to have a maximum overshoot of 35% and a peak time of approximately 1 second. c) For the following systems assume zero initial conditions. Determine i) The peak overshoots. ii) Corresponding peak times iii) Decay rate characteristics. Produce a sketch of the unit step response using the above values calculated. vate ett
Q2) Consider the following feedback system outlined in Figure Q2 Plant R(s) + 10 1 C(s) S+ 1 K, Figure Q2 a) Derive the closed loop transfer function GRC (S). b} Calculate the value of Ky that will result in the closed loop system to have a maximum overshoot of 35% and a peak time of approximately 1 second. c) For the following systems assume zero initial conditions. Determine i) The peak overshoots. ii) Corresponding peak times iii) Decay rate characteristics. Produce a sketch of the unit step response using the above values calculated.
Q-3: A- (a) The closed-loop gain of a negative-feedback amplifier is AfB the open-loop gain is A =-105. Find the feedback transfer function B. (b) If ß = -0.015 and A = -5 x 104, determine the closed-loop gain AFB . -80 and 1:C:
(B) The state space representation for a closed loop system is shown in figure (5): 1. What is the poles and zeros for this system 2. Obtain the open loop transfer function G(s) for this system if it has a unity feedback .H(s)-1 -10 U(Q) 10 -12 Figure (5)
Q-4. How many op-amps are required to implement this equation? V1+ R2 V. =- A) 3 B) 4 C) 2 D) 1 Q- 5. For the following feedback circuit. Identify the type of feedback and find the closed loop gain. E A ► VOUT
seels e A unity feedback system has G(s) as shown below in figure, what is the range K for * ?stability K(1+0.25)(1 +0.0255) () = 51+ 0.001 ) + 0,005 5) 600
Consider a non-unity feedback system shown in Figure 3. R(S) s² + 4s + 10 s²+s+2 1 s²+2s +1 Figure 3: A non-unity feedback system. Derive the closed-loop transfer function of the system. C(s)
(Stability of a Feedback System) The open-loop transfer function of a system is given as: G(s) 2s3 + s² + 14s a) Draw a unity feedback system with a gain K and open-loop transfer function G(s). Indicate the name (e.g. E(s),..) of each arrow. Find the closed-loop transfer function T(s). b) of terms. Build the Routh table for the closed-loop system by clearly showing the calculation c) Analyze the stability of the closed-loop system and find the range of K for stable operation. Justify your answer.
K Open loop transfer function of a unity feedback system is (1-S) the closed loop pole to be at S=2, the value of K' is
how to find the closed loop poles and zeros on a tf like this by hand. With unity feedback.
QUESTION 1 A unity feedback system has open loop transfer function shown below. Find K1 so that the damping ratio = 0.4 and the peak time t,=2 seconds. Here the peak time tp = wa K1 s+ KzK2) HG(s) =