Use the following transfer function G(s) to evaluate the root locus conditions for each of the cases given. This system G(s) is in the feedback given in Problem 2 with a proportional controller. s+5 s? +9s+8 K(s) = K G(s) = (a) Use the root locus angle condition to show that it is possible to place a closed loop pole at -2. Find the gain K that will place a pole at this location. (b) Use the root locus angle condition to show that it is not possible to place any closed loop pole at -7. (c) Use the root locus angle condition to show that it is possible to place a closed loop pole at -15. Find the gain K that will place a pole at this location.

Use the following transfer function G(s) to evaluate the root locus conditions for each of the cases given. This system G(s) is in the feedback given in Problem 2 with a proportional controller. s+5 s? +9s+8 K(s) = K G(s) = (a) Use the root locus angle condition to show that it is possible to place a closed loop pole at -2. Find the gain K that will place a pole at this location. (b) Use the root locus angle condition to show that it is not possible to place any closed loop pole at -7. (c) Use the root locus angle condition to show that it is possible to place a closed loop pole at -15. Find the gain K that will place a pole at this location.

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

Q: QUESTION 4 Y(s) R(3) (a) With aided by an appropriate diagram, derive and obtain the transfer…

A: Consider a positive feedback control system having plant transfer function Gs and feedback gain…

Q: rding to:

Q: 04: A unity feedback system with open-loop transfer function given as: 73.1 G(s) %3D (s +1)(s + 3)(s…

A: Part (a): Consider the open-loop transfer function,

Q: Q3- The overshot of the step response of a second order feedback system is 30% and settling time is…

Q: A unity-feedback closed-loop system has a plant of G(s)=1/(s+1) and a proportional- derivative…

A: Given, A unity feedback closed system has a plant of G(s)=1/(s+1) H(s)=1 Proportional gain is Kp…

Q: You find that the gain margin of a nominal loop transfer function (with no right-half plane…

A: Given Data:A nominal loop transfer function with, The gain margin To Find:1. Stability of the…

Q: 1. Find the equivalent transfer function of the negative feedback system of figure R(s) C(s) G(s)…

A: Solve the problem

Q: Ex : Desiyn weiyhted sum Values for R,, an inurting op-ump circuit to dorm the Vo = - (V, + 5 V2).…

Q: Consider a plant whose transfer function is- 1 It is desired that a lead s(s+2) compensator is used…

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: Question:The following equation is required to relate to three input voltages according to the…

A: Given that RfC : fine constant = 1 Rf : Feed back resistor = 100 kΩ

Q: 4 K(s+3) For a unity feedback system with G(s) = s(s+2)(s+4) (s+6)' whether the system can have the…

Q: G1 G2 H5 G6 H2 G3 H1 G4 G7 H4 H3 G5 H6

A: For the given figure, We have to derive the transfer function of the system using signal flow…

Q: An amplifier has gain A =100 2180°, upper cut off frequency of 100 kHz and lower cut off frequency…

Q: s+10s + K,s²+2s + K2 = 0. where K and K, are feedback gain factors. Determine and plot the region of…

Q: A common application of control systems is to regulate the temperature of a chemical process, as…

Q: The diodes in the circuit shown have VK = 0.7V The value of Vs(t) that turns both diodes on is 1k ww…

Q: 10. A buck-boost converter uses a large inductor and supplies -12 V output from a 12 V input. At…

A: Given: A buck-boost converter uses a large inductor and supplies -12 V output from a 12 V input. At…

Q: )With Switch A OFF and Switch B ON, do a theoretical analysis of the circuit for I1, I2, V1 and V2…

A: a..>> With switch A OFF and B ON , By KVL , 9-V1-1.5=0⇒V1=7.5 V. I1=Voltage across…

Q: 2.20. By means of the signal-flow graph and Mason's theorem, find the transfer function of the…

Q: 2. A unity gain feedback system has the open loop transfer function given by K G(s) = (s+3)(s+6)…

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

A: The transfer function can be obtained by converting the given equation into the signal flow graph…

Q: 02 G Error В

A: Given that closed loop trnsfer function = (Forward path gains) / 1-(loopgains)

Q: 4) For the given the amplifier circuit shown below has the following parameters: Rid = 20k2, ro =…

A: According to the question, for the given circuit as shown below We need to find

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

Q: B-7-17. A Nyquist plot of a unity-feedback system with the feedforward transfer function G(s) is…

A: Step 1: Step 2:

Q: For the system shown in the attached image: i. Find the values of "K1" and "a" to produce a…

A: The given system has two closed-loops: (i) minor loop: consists of G1s=K1ss+2s+5 in forward path and…

Q: fi. Aclosed-loop feedback system is shown in following figure R(s) K C(s) s(s–1)(s+5) 1+s (1) Find…

A: We will find close loop gain , and then we will find characteristics equation to find out range of k…

Q: Q4: A unity feedback system with open-loop transfer function given as: 73.1 G(s) : (s + 1)(s + 3)(s…

A: Part (a): Consider the open-loop transfer function,

Q: 5. A feedback system has loop transfer function K(s + 2) G(s)H(s) = s²2s + 10 - a) Sketch the root…

Q: 1. i. A Transfer Function of a system is as shown below. (s +3)(s - 4) Y(s)% = (s - 5)(s+ 1)(s + 2)…

A: Given

Q: For a unity feedback system having K (s? + 6s + 8) G(s) = %3D s2 + 4s + 13 a) Determine the…

Q: Q2) Given the transfer function of the system (plant) as follows: B(s) s+6 A(s) 4s2 – 8s + 5 1-…

Question

100%

Use the following transfer function G(s) to evaluate the root locus conditions for each of the cases given.
This system G(s) is in the feedback given in Problem 2 with a proportional controller.
s+5
K(s) = K
G(s) =
8+ $6 + 28
(a) Use the root locus angle condition to show that it is possible to place a closed loop pole at -2. Find
the gain K that will place a pole at this location.
(b) Use the root locus angle condition to show that it is not possible to place any closed loop pole at -7.
(c) Use the root locus angle condition to show that it is possible to place a closed loopP pole at -15. Find
the gain K that will place a pole at this location.
2. Consider the feedback loop below with plant G(s) and proportional controller K(s) = K. Use the Routh-
Hurwitz criterion to determine the full range of K that produces a stable feedback system GcL(s).
s+6
G(s) =
3 + 4s2 + 3s
R(S)
K(s)
G(s)

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

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 steps

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 negative feedback system shown in Figure (We assume that the value of gain K is nonnegative.) For this system, Sketch the root-locus plot. R(s) K s(s+ 1) (s+2) C(s)
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.
5
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
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.
Consider a unity feedback system with the following open loop transfer function: G(s) = 5.7/[s(s+ 4) (s+20)] Using the second Ziegler-Nichols method design the PID controller G₂ (s) = K₂ (1+-+T₂5) The critical gain Kis a. 202.11 O b. 134.74 O c. 269.47 O d. 404.21 O e. 336.84
Please Asap for like this Please fast Please sir...
Consider the system in Figure below, K is a positive parameter is the controller gain, and a is a parameter. D R 1 Y K(s+a) (s + 2)(s +3)(s + 1) a. At which condition the system above is stable? b. Can you find one or more situation in which the feedback system is always stable? c. How would you select a so that the system behaves exactly as a second order system with the fasted response possible? Justify your answer. d. Select K in a way that the system overshoot does not exceed 5%.
I need the answer as soon as possible
In the feedback system shown in Figure Q3, the controller and the plant have the following transfer functions respectively: (s+4) (s+1)(s+2)(s+3) G.(s) = K>0 and G,(s) = Answer the following for this feedback configuration: a) Calculate the closed-loop transfer function. b) By using the Routh-Hurwitz criterion find the values of the controller gain K such that the closed-loop system is BIBO stable. c) Compute the steady-state error to a unit step reference input as a function of the controller gain K. d) Assume now a PI controller G.(s)=K, 1+ is used instead of the constant gain K. Ts Calculate the steady-state error to a unit step reference input. Is your result in agreement with the "internal model principle"? R(s)+ E(s) Y(s) G.(s) G,(s) Figure Q3: Unity feedback system
Q6: Obtain the transfer function Y(s)/R(s) for the closed loop system shown in figure (6). Use signal flow graph (Masons gain formula) method. G:(s) G(s) R(s) C(s) G,(s) G2(s) G;(s) Figure (6) G,(8) G,(s)
please solve all the parts of the questions with clear explanation and diagrams if required