ExamplesConsider the following transfer functions.• Calculate the Poles and zeros of the systemi) G(s) =s +3ii) G(s) = -Ss(s + 2)(s + 1)(s + 2)(s + 3)(s +3)²s2(s +1)ii) G(s) =iv) G(s) =%3Ds(s? +10)s(s +10)

Answered: Image /qna-images/answer/ace66c47-5359-47d8-8bb3-d0f68fdca990.jpg

Examples Consider the following transfer functions. • Calculate the Poles and zeros of the system s+3 i) G(s) = ii) G(s) = s(s + 2) (s +1)(s + 2)(s +3) (s +3)² s²(s +1) iii) G(s) = iv) G(s) %3D %3D s(s? +10) s(s +10)

Examples Consider the following transfer functions. • Calculate the Poles and zeros of the system s+3 i) G(s) = ii) G(s) = s(s + 2) (s +1)(s + 2)(s +3) (s +3)² s²(s +1) iii) G(s) = iv) G(s) %3D %3D s(s? +10) s(s +10)

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: The transfer function where X1(s) is the output and the force F(s) is the input is X,(s) а. Т(s) %3…

Q: A series RLC circuit is connected to a conventional input source v(t). with L = 2 H and C = 0.5 F.…

Q: A system has the following open loop transfer function G(s) = K(s+1)/(s2(s+2)(s+3)(s+4)). At what…

Q: 2) Consider a system with transfer function G(s) = (s+ 4)/ (ks? + s+ 4). The value of damping ratio…

A: The transfer function is G(s) = (s+4)/(ks2 + s + 4) This is a second order transfer function.

Q: 4. For each of the following transfer functions, write the corresponding differential equations Y(s)…

Q: An LTI system is described by dy(t) + 5y(t) = x(t), y(0) = 2 %3D dt the unit impulse function h(t)…

A: The signals are continuous and discrete time . The signals can also be periodic and aperiodic.…

Q: Q. 1 Find the poles and zeros of the following transfer function and determine if the system is…

Q: 5) A linear system is modeled by the transfer function Y(s) 1 U(s) s +5s+4 Find the response p() to…

A: By using Laplace transform

Q: 10. A causal LTI system is described by the differential equation dy(t) dt2 + y(t) = u(t) with…

Q: 1 A. G(s) = s2+s+4 B. G(s) = 6+z8 1 s+9 C. G(s) = (s2 +3s+5)(s+3)(s+5)

A: A. Gs=1s2+s+4 On solving the denominator of the function, s=-1±1-162=-1+i152,-1-i152 Therefore the…

Q: A system has the following open loop transfer function: G(s) = K(s+1)/(s2(s+2)(s+3)(s+4)) At…

A: Given open loop transfer function is G(s) =K(s+1) /(s^2(s+2) (s+3) (s+4))

Q: The block diagram of a time-invariant, linear, continuous-time system is given below. X 1 (s) and X…

Q: 8. The transfer function given below has; s+1 (s + 4) (s² + 3s + 2) P(s) =

A: Given: Ps=s+1s+4s2+3s+2 Required: Poles and Zeroes of the given transfer function.

Q: 23. Draw the root locus for each of the systems that have these loop transfer functions and identify…

A: d) The open-loop transfer function is given as T(s)=Ks-4s+4Poles location s=-4No. of polesNp=1Zero…

Q: Determine the poles and zeros of the transfer function Y(s) 3(s² +16) U(s) (2s² +18) (s + 1)² b. If…

A: A transfer function is used to mathematical function to model the output of a system at individual…

Q: Consider the system described by the following transfer function y(s) %3D .2 u(s) s +2s +3 C=[1 1]…

A: State variable analysis is a modern method of analysis of the control system, just similar to the…

Q: PROBLEM: Determine the validity of a second-order approximation for each of these two transfer…

Q: 1. Consider a system with the following transfer function: s+3 H(s) = s²+ 4s + 5 a) If the system is…

A: The solution is given below

Q: Consider a linear time-invariant system. It is known that when the input is u(t) = tu,(t) and the…

Q: Obtain pole,zero and gain for the transfer function given below 1 1. G(s) = 2. G(s) = 3. G(s) = %3D…

Q: 1 H(s) = s2 + 64 10 H(s) = - s' + 4s + 29s

Q: Which of the following is the H (s) transfer function of the system whose block diagram is given?…

A: Detail solutions in the image

Q: Find the transfer function, X3 (s)/F(s),for the system below 2 N-s/m 6 N/m 0000 4 kg x1 (1) 2 N-s/m…

A: The given system is shown below:

Q: Consider a system whose input and output are respectively u(t) and y(t). This system is described by…

Q: k(1+as) q: Consider a unity fb system with G(s) then if the s.f.g for G(s) with series %3D…

Q: 500 N 1000 N 160 nF 100 mH R1 = 500 N, R2 = 1000 N, L = 100 mH,C = 160 nF,i,(t) = 4 cos 5000t mA %3D…

Q: Calculate the transfer function from the following state space representation 1 0 [o 0 0 0 1 %3D X2…

A: The given state-space representation is,…

Q: For For a system with the transfer function S+1 H(s) = s3 + s? + 5s+6 %3D the system is

Q: 1. A system is described by the following differential equation: -r"(t)+ 2r' (t) + 3r(t) = c"'(t) +…

A: In the differential equation, What is the transfer function of the given system. G(s) = C(s) /R(s)…

Q: The impulse response of a discrete system is given by h(n)= {1, 2, -1}, Find its output for an input…

A: given convolution problem

Q: A system has transfer function s²+35+6 (s²+1) (s³+4s²+7s+4) Use the Routh-Hurwitz technique to…

Q: Consider the following transfer functions, find the system is: stable, marginally stable, or…

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

Q: 1. A system has the following transfer function, derive state and output equations. Y(s) 1 %3D U(s)…

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

Q: y(5) + 8y(4) + 9y"" + 12y" + 13y' – 10y = x" – 3x' + 2x y(5) + 4y(4) + 8y" + 10y" + 7y' + 5y = x" –…

Q: The differential equations below represent systems where x is the input and y is the output.…

Q: Consider a system with the following transfer function, Its damping ratio will be 0.5 when the value…

A: Given: To find the value of K, the damping ratio is 0.5. Transfer function is…

Q: 3. Consider an LTI system with the following transfer function: s+3 H(s) = %3D s² + 4s + 5 (a) If…

Q: 7. A system is described by the following differential equation: d'y ďy +3 di f'x dx +6+ 8x d'x +5+y…

A: Given data, d3ydt3+3d2ydt2+5dydt+y=d3xdt3+4d2xdt2+6dxdt+8x

Q: 0,t 1

Q: 3) The transfer function of a control system is given by G(s) = 25/ (s² + 6s + 25). The first…

A: PEAK TIME: The time taken by the response to reach maximum value or peak value is called peak time.…

Q: Example 2:Obtain the poles and zeros of the transfer function given below: s2 + 4s + 3 G(s) %3D s3 +…

A: The given transfer function Gs=s2+4s+3s3+3s2+7s+5

Q: 000 ос Select one: a. 1.5 b. c. 2 d. 1.0 O O o Give the following transfer function O The final…

A: Given: Transfer function, YsRs=2s+1s+3ss+2s+4+2s+1s+3. Rs is unit step input.

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: Consider the closed loop transfer function is, T (s) =- Calculate the value of K such that the…

A: Given data : Close-loop transfer function Ts=Ks+2s2+23+Ks+13+2k

Q: The differential equations below represent systems where x is the input and y is the output.…

Q: Transfer function of an LTI continuous time system is given in the following form e-2s(s + 2) H(s)…

A: Laplace transform is used to convert time domain function in to frequency domain. Some Laplace…

Q: The block diagram of a time-invariant, linear, continuous-time system is given below. X 1 (s) and X…

Q: Please determine the system properties 3, wa, and t associated with the folloWIng transfer function:…

Q: For the following transfer functions obtain the range of positive values of K for which the system…

A: i have explained in detail

Question

Examples
Consider the following transfer functions.
• Calculate the Poles and zeros of the system
i) G(s) =
s +3
ii) G(s) = -
S
s(s + 2)
(s + 1)(s + 2)(s + 3)
(s +3)²
s2(s +1)
ii) G(s) =
iv) G(s) =
%3D
s(s? +10)
s(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 by step

Solved in 2 steps with 2 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

Which of the following is the H (s) transfer function of the system whose block diagram is given? s / (4s + 3)4 s / (3s + 1)4 s / (3s + 2)s / (s + 4)4 s / (s + 1)3 s / (s + 4)
A system is described by the differential equation (see attached). a)What is the order of the system. How many poles does the system's transfer function have. How many states are needed to describe the system completely.b) Determine the system's transfer function, Y(s)/U(s) (the poles of the system are at ―1, ― 2, and ―4);c) Determine matrices A, B, C, and D to describe the system in state-space form x' = Ax + Bu, y = Cx + Du.
The transfer function for a linear time-invariant circuit is H(s)=VoVg=4(s+3)s2+8s+41. If vg=40 cos 3t V, what is the steady-state expression for vo?
Problem: Find the transfer function, G(s) = C(s)/R(s), corresponding to the differential equation
4. Find the Transfer Function of the given circuit. (Kindly provide a CLEAR and COMPLETE solution also the answer should be TYPEWRITTEN)
Given the following transfer functions, Draw the complete Root Locus for these systems at {K-0, 0.5, 1, 2, 3}, then find break-in points and K value? G(s) = K(s+1) s² +3s +3.25 G(s) = K s(s+2)
The differential equations below represent systems where x is the input and y is the output. Determine a) the transfer function of the given systems, b) whether the following systems are stable, or unstable, and c) the number of roots with positive real part
(Signals and Systems) Determine whether the systems with these transfer functions are stable, marginally stable or unstable by determining the poles.
If the transfer function V2(s) / V1(s) = s / s^2+5s+4, then find the Z. (It may contain R,L,C components). ..
Open-loop transfer function of a system is 10 G( s(5s+1) input signal is x{t)=1(t) , Find steady-state error of the system.
The transfer function of a system is given by H(s) = 1/[s^2(s − 2)]. Find out the impulse response of the system if u(t) is used to denote the unit-step signal.
The transfer function of a plant is given by: G(s) = 5 / 0.5s2 + s Design a leading compensator per root locus to bring the closed-loop poles to belocated at s = - 2 ±j3.46.