Consider the transfer function G(s) = 2,. Sketch the root locus of 1+ KG(2), where G(z) iss+2the Zero-order-hold equivalent of G(s). Find the stability range of K. T = 1.

Answered: Image /qna-images/answer/eadcae32-f2ab-44ee-ba2d-d1f964921d58.jpg

Answered: Consider the transfer function G(s) =…

Consider the transfer function G(s) = 2. Sketch the root locus of 1+ KG(2), where G(2) is the Zero-order-hold equivalent of G(s). Find the stability range of K. T = 1. s+2

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: QUESTION Transfer function of a system is given as: (1+ s)(0.1 + 10s) F(s) (1+ 0.1s)(1+0.01s) If an…

A: Simple problem on signals and system and laplace transform. Given below is the solution for the…

Q: 1-) For the system given by the differential equation y(n)=x(n)-0.5y(n-2)(fs=4KHZ), . Find the…

Q: (B) For a CT system, given the following set of poles and zeros. poles: sp;=-0.7, sp2=2,…

Q: 1 A system with transfer function G(s) = ,a>0 is subjected an input 5cos3t. (s+1) (s+ a)' 1 cos(3t –…

Q: The closed-loop transfer function of a rocket launcher system is given by O(s) s³ +4s+2 R(s) s'+2s*…

Q: The input signal to an LTI system is given by x(1) = 2 cos(2t +) The system has impulse response…

Q: (B) For a CT system, given the following set of poles and zeros. poles: sp,=-0.7, sp=2, sp3=-0.7+j2.…

Q: (B) For a CT system, given the following set of poles and zeros. poles: sp;=-0.7, sp2=2,…

Q: Example # 4 The forward path transfer function is given by G(s) = 9/s(s+6). Obtain an expression for…

A: Need to find the expression for unit step response means we need to find output for the step input

Q: 2. Derive the transfer function, Y½(s)/U(s) from the equations of motion for the

Q: system. R(s) Y (s) 160 s+32 K2 Find the condition for K, and K2, which makes the system stable using…

Q: The open-loop transfer function of a system is k given by G(s)H(s) = find the s?(s? + 2s + 2) angle…

A: Damping ratio is system parameter. It is represented by Zeta ζ. The poles of transfer function is…

Q: DSP system is described by the difference equation y(n)=0.2y(n-1)+x(n), find the impulse response…

Q: The helicity operator is E· p where E = 0 o Find solutions to the dirac equation that are…

Q: R (1 + K)» + 1 0.1

A: We need to select correct option for given system

Q: A causal, LTID system is described by the impulse response: h[n] = {2,2, –2,–2} i) Find the…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 4. A system with response x(t) to an input u(t) is characterized by the transfer function p-1 G(p) =…

A: We are given a transfer function for a system: Gp=p-12pp3+3p2+2p+1 We have to determine the…

Q: For each of the transfer functions given below, plot the expected temporal response of the system to…

A: "We will provide solution for the first transfer function of the question since each transfer…

Q: Find the pole location of the lead compensator with the transfer function Ke(s + 1/T) (s +1/aT) that…

A: It is given that: lag compensator=Kcs+1Ts+1αTkv=10lims→0 sGs=2ϕm=25°ωgc=0.7 radsec

Q: Q: For a given impulse response of LTI system h(n), determine the response of the system to the…

A: Given: Input xn=un-4 Impulse response of the LTI system is

Q: Consider the anti-causal discrete-time system described by the difference equation: y/n] + 등y[n - 1]…

A: Brief description : For the given anticausal discrete time domain system we need to derive its…

Q: 1. For the given transfer function, find the locations of the poles and zeros, plot them on the…

Q: e transfer function of a causal system is H (z) . Which of the following statement(s) are correct?…

Q: A system has an input-output relationship represented by the following third order differential…

Q: Transfer function Y(s)/U(s) of a system described by dynamic equation dž(t) – Āä (t) + Bu(t) dt y(t)…

A: Given: State-space equation with, A=-110-1B=01C=11D=0

Q: Show that the response of the system h[n] = a"u[n] to the i/p, x[n] = B"u[n], where Ja| < 1, \B| < 1…

Q: 34. The open loop transfer function of a system is given as: G(s) = %3D (s+1)(s+2) Determine…

Q: 1. The transfer function of a causal LTI system is: (1– 0.5 e# :-") (1– 0.5e# H(2) = z-1) (1– 0.5 e…

A: Note: We are authorized to answer three subparts at a time since you have not mentioned which part…

Q: 7.35 Consider a system with the transfer function, s+ 15 G(s) = 3 – 15 (a) Find (Ao. Bo, Co) for…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: X (t) = A, cos (t + 0) %3D Where A, is a real constant, 2 is a random variable with density function…

Q: Determine the output, g (t), of a linear time – invariant system whose input and frequency transfer…

Q: The state space representation of the system is, --1 0 X= y =[1 -1]X The transfer function of the…

A: Given Data A= -100-3B = 11C = 1-1 The expression for the transfer function is given as, y(s)u(s)=…

Q: 0/ Consider a closed-loop transfer function is: Y(s) R(s) s +a,s+a, %3D From its below response to a…

A: From the plot,Setting time, ts=8 sec=4ζωn2%errorPeak time, tp=1.3 sec=πωn×1-ζ2Peak over shoot %…

Q: II. Find the ramp response for a system whose transfer function is shown below. 2s+1 G(s)=2+6+2

Q: Given that the maximum velocity of signal propagation on a Transmission line is the velocity of…

A: Given that the maximum velocity of signal propagation on a Transmission line is the velocity of…

Q: Transfer function of a system is given as: (1+s)(0.1+ 10s) (1+0.1s)(1+0.01s) F(s) =- a. Draw the…

A: The system can be described as the transfer function. The transfer function can be analysed in the…

Q: 4. Suppose that the controller transfer function is: K(s +1)(s+3) G(s) = Using the root-locus…

A: The transfer function is given as: G(s)=k(s2+4s+3)s3+10s2+34s+40 The root locus is given as:

Q: The open-loop transfer function is given as follows: K(s + 2.1) (s+4.9)4 (s + 6.4)°(s + 7.6)7 G(s) =…

Q: Hornework: Given the following transfer functions, Draw the complete Root Locus for these systems at…

A: The given transfer functions are as follows,1. G(s) = K(s+1)s2+3s+3.252. G(s) = Ks(s+2)

Q: In the root locus of the system given by the open-loop transfer function G(s)= K(s+1) / s^2 + 4s +5,…

Q: 3: a) Consider a closed-loop transfer function is: Y(s) R(s) s +a,s+a, From its below response to a…

Q: 1. The transfer function of a system is given by, K(s+6) T(s) = ´s(s+2)(s+5)(s² +7s+12) Determine i.…

Q: A mechanical system is shown in the figure below: D K M F If it is known that M = 1 kg, K = -6 N/m,…

Q: it x2(1) 1 N/m At) 1 kg N-s/m 1 kg `Frictionless s Sona gr The transfer function where X1(s) is the…

A: Given mechanical system shown

Q: (B) For a CT system, given the following set of poles and zeros. poles: sp1=-0.6, sp2=2,…

A: In this question , we will find transfer function using pole zero plot...

Q: If the roots of the characteristics equation z=0.5347t0.5543 rad and sampling time=0.5sec., the…

A: Given Roots of the characteristic equation Z=0.5347∠±0.5543 radSampling time T=0.5 sec

Q: Q.1 The open loop transfer function of a system is given by K(s+1)(s+2) 7eros- (s-1)(s-2) G(s)H(s) =…

Q: The transfer function of a control system is given by s+7 5s +20 T(s) = The system is excited by a…

A: For a control system, transfer function Ts=XsFs=s+75s+20=0.2s+7s+4, step input ft=8↔ℒFs=8s.

Q: Consider a linear time-invariant system with transfer function 1. H(s) = (s+1) If the input is…

Q: A system's power transfer function is 9. |H(@)l? = %3D [81 + w*] a) What is its noise bandwidth? b)…

A: The unwanted part of signal is called noise. Noise is equal to standard deviation of signal.…

Question

100%

Consider the transfer function G(s) = 2,. Sketch the root locus of 1+ KG(2), where G(z) is
s+2
the Zero-order-hold equivalent of G(s). Find the stability range of K. T = 1.

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 3 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

5, P2 5- The poles of a circuit transfer function are at P₁ -1, Z₂ = -3 rad/sec. Determine its unit step response, y(t). = -2 while the zeros are at Z₁ =
CONSIder tie Tollowing transfer function 3s(s – 2)(3s + 9) (3s2 + 1)(2s² + 8s + 16)² H(s) = %3D Find the gain, poles and zeros of the given transfer function (you A) have to indicate how many poles and zeros). B) L C) critically stable, justify your answer. Plot the obtained zeros and poles on the s-plane. Identify whether the given transfer function is stable, unstable or
Let G (s) be the transfer function of a linear time invariant system. Which of the following about the location curves of the roots of the equation 1 + K G (s) = 0 is always true? At K = 0 the roots are at the poles of G (s). G (s) has as many root curves as the number of poles. G (s) has as many root curves as zero. At K = 0 the roots are at the zeros of G (s).
The z-transfer function of the difference equation y(k + 3) – 4y(k + 2) – 2y(k+ 1) = u(k + 1) is: Select one: Y(2) O a. U(2) 23–4z²–2 Y(2) b. U(z) 1 23 –4z²–2z Y(2) C. U(z) 23-4z2-2z Y(2) d. U(z) %3D 23–422–2 Clear my choice
CONTROL SYSTEMS ACTIVITY ON FIRST ORDER SYSTEMS 400 1. Given the transfer function of a first order system G(s) = and s+400 using a unit step funtionas input to the system, solve for the values of Tc, Tr and Ts. Then plot the transient response of the given system.
K(s – 5) G(s): s2 – 4s + 29 where K is a positive scaling factor. 1. Determine the pole(s), zero(s), and region of convergence of the forward transfer func- tion G(s). 2. Sketch the pole-zero diagram of the forward transfer function G(s). Label all relevant points and the two axes properly. 3. Is G(s) stable? Explain.
In the system shown in the figure, the input is the force fand the output is the displacement x4 of point A. When x= xA, the spring is at its free length. H m C Derive the transfer function of the system. Show all work.
A) B) The characteristc equation of a first order system is 4s+1=0. The eigenvalue is 0.25 4 -4 -0.25 Given the loop transfer function G(s)H(s)=K(s+6)/(s+3)(s+5). The number of open loop zeros, Z, is 2 1 3 0 Which of the following is not correct? f(t) convolved with the unit impulse function is equalmto f(t) Thecintegral from negative infinity to positive infinity of the unit impulse function is equal to 1 The integral from negativec infinity to positive nfinity of the unit impulse function is equal to 1 The Laplace transform of the unit impulsecfunction is not equal to the integral from negative infinity to positive infinity of the unit impulse function is
Consider the second order system C(s) / R(s). a) Find the maximum overshoot in the unit step response, the time that it occurs at, the rise time from 0% to 100%, and the settling time using the +/- 5% criterion. Find the damped natural frequency od and the product on c) Find the poles of the transfer function b) C(s) 2.958 R(s) s +1.390s +2.958
A DT system given by the following difference equation. (a) Derive the transfer function H(z). (b) Find Poles and zeros, and draw them in the z-plane. y[n]=x[n]+5x[n-1]-2y[n-1]-4y[n-3]
Problem 1: Find the transfer function, using the standard formula for a second order system. for a second order system. Establish the relative damping factor and the natural frequency. Tell whether according to the value ? the system is suitable.
True False If a type 1 system is subjected to parabolic input, the value of steady state error will be zero. Two loops are said to be non- touching only if no common Branch exists between them. A system with transfer function 1/Ts+1, subjected to a unit step input to reach 63.2% of final value, The value oftis T/2.