Given h(t)=(e-t+e-3t)u(t) find: A) The transfer function H(s). B) The locations of all poles and zeros....
Given h(t)=(e-t+e-3t)u(t) find:
A) The transfer function H(s).
B) The locations of all poles and zeros.
C) Determine if the system is stable or not
D) Find the differential equation for this system.
Homework Answers
Given problem has been solved with proper explanation and calculations. To understand this problem, a basic knowledge of impulse response of a system, transfer function of a system, differential equation representation of a system and Laplace transformation is required. If you have any doubt, please comment.
Add Answer to:
Given h(t)=(e-t+e-3t)u(t) find:
A) The transfer function H(s).
B) The locations of all poles and zeros....
Poles and Zeros For the transfer function given: 0.85 8-44.64 G(s) = 긁+0.83 12.00 Part A-Poles Find the system pole 8 Submit Part B-Poles Find the system pole s2 Submit Part C-Zeros Find the system...
Poles and Zeros For the transfer function given: 0.85 8-44.64 G(s) = 긁+0.83 12.00 Part A-Poles Find the system pole 8 Submit Part B-Poles Find the system pole s2 Submit Part C-Zeros Find the system zero Submit Part D-Type of Response Based on the locations af the poles and zeros, what will be the response to a unit step inpue? O Harmonic Oscillations (Marginally stable) Oscillatory motion with exponential decay tending to zero (stable O Critically damped exponential decay (stable)...
a continuous time causal LTI system has a transfer function: H(s)=(s+3)/(s^2 +3s +2) a) find the...
a continuous time causal LTI system has a transfer function: H(s)=(s+3)/(s^2 +3s +2) a) find the poles and zeros b) indicate the poles and the zeros on the s-plane indicate the region of convergence (ROC) c) write the differential equation of the system. d) determine the gain of the system at dc (ie the transfer function at w=0) e) is the system described by H(s) stable? explain f) for the system described by H(s), does the Fourier transform H(jw) exist?...
Problem 1 Y(s) Given G(s) H(s) 0(s)-1 a) Determine the transfer function T(s) of the system above. b) Determine the mamber of RHP or L.HP poles of the system. Is tdhe system stable? Why or why no?...
Problem 1 Y(s) Given G(s) H(s) 0(s)-1 a) Determine the transfer function T(s) of the system above. b) Determine the mamber of RHP or L.HP poles of the system. Is tdhe system stable? Why or why no? c) H HG) were modified as follows. Determine the system stability as a function of parameter k, i.e, what is the minimal value of k required to keep the system stable? d) Sketch Bode the plot for T(s) including data 'k, derived from...
105- Problem #4 - Given the transfer function T(s)- ***(1+%o1+%0011+%00) A) Find the Poles and Zeros....
105- Problem #4 - Given the transfer function T(s)- ***(1+%o1+%0011+%00) A) Find the Poles and Zeros. B) Sketch the Bode plots for the magnitude and phase of the function. C) From the plot estimate the gain and phase at 1000 rad/s and compare to actual calculated values.
Given an input signal (t)nd the output signal is y(t)-(e2 e)u(t), compute the transfer function H(s)....
Given an input signal (t)nd the output signal is y(t)-(e2 e)u(t), compute the transfer function H(s). Determine whether the system is stable and causal or not.
Problem 1: The impulse response ht) for a particular LTI system is shown below hit) Be5e (4 cos(3...
Problem 1: The impulse response ht) for a particular LTI system is shown below hit) Be5e (4 cos(3t)+ 6 sin(3t) e. u(t) 1. Plot the impulse response for h(t) directly from the above equation by creating a time vector 2. Use the residue function to determine the transfer function H(s). Determine the locations of the poles and zeros of H(s) with the roots function, and plot them in the s-plane (x for poles, o for zeros). Use the freas function...
i. For the transfer function s+2 T(S) - 2 +9 a. find the locations of the...
i. For the transfer function s+2 T(S) - 2 +9 a. find the locations of the poles and zeros (3 marks) b. plot them on the s-plane (3 marks) c. write an expression for the general form of the step response without solving for the inverse Laplace transform (2 marks) d. State the nature of the response (2 marks)
Find poles and zeros, find system order, find the differential equation model. #7) Find X(s) and...
Find poles and zeros, find system order, find the differential equation model. #7) Find X(s) and ROC if x(t) = e-Itu(t) + ettu(-t) + e'sin(4t)u(-t)
1. (20 points). A transfer function has the following zeros and poles: zero at s=-105 and s= poles at s-100 and s--1000. The magnitude of the transfer function at ω= 105 rad/s is equal 100. Find the...
1. (20 points). A transfer function has the following zeros and poles: zero at s=-105 and s= poles at s-100 and s--1000. The magnitude of the transfer function at ω= 105 rad/s is equal 100. Find the transfer function T(s) and sketch Bode plots for the magnitude and phase, ˇ
1. (20 points). A transfer function has the following zeros and poles: zero at s=-105 and s= poles at s-100 and s--1000. The magnitude of the transfer function at ω=...
Theroot-locus design method (d) Gos)H(s)2) 5.5 Complex poles and zeros. For the systems with an open-loop transfer function given below, sketch the root locus plot. Find the asymptotes and their angle...
Theroot-locus design method
(d) Gos)H(s)2) 5.5 Complex poles and zeros. For the systems with an open-loop transfer function given below, sketch the root locus plot. Find the asymptotes and their angles. the break-away or break-in points, the angle of arrival or departure for the complex poles and zeros, respectively, and the range of k for closed-loop stability 5 10ん k(s+21
(d) Gos)H(s)2) 5.5 Complex poles and zeros. For the systems with an open-loop transfer function given below, sketch the root...
Poles and Zeros For the transfer function given: 0.85 8-44.64 G(s) = 긁+0.83 12.00 Part A-Poles Find the system pole 8 Submit Part B-Poles Find the system pole s2 Submit Part C-Zeros Find the system zero Submit Part D-Type of Response Based on the locations af the poles and zeros, what will be the response to a unit step inpue? O Harmonic Oscillations (Marginally stable) Oscillatory motion with exponential decay tending to zero (stable O Critically damped exponential decay (stable)...
Problem 1 Y(s) Given G(s) H(s) 0(s)-1 a) Determine the transfer function T(s) of the system above. b) Determine the mamber of RHP or L.HP poles of the system. Is tdhe system stable? Why or why no? c) H HG) were modified as follows. Determine the system stability as a function of parameter k, i.e, what is the minimal value of k required to keep the system stable? d) Sketch Bode the plot for T(s) including data 'k, derived from...
105- Problem #4 - Given the transfer function T(s)- ***(1+%o1+%0011+%00) A) Find the Poles and Zeros. B) Sketch the Bode plots for the magnitude and phase of the function. C) From the plot estimate the gain and phase at 1000 rad/s and compare to actual calculated values.
Given an input signal (t)nd the output signal is y(t)-(e2 e)u(t), compute the transfer function H(s). Determine whether the system is stable and causal or not.
Problem 1: The impulse response ht) for a particular LTI system is shown below hit) Be5e (4 cos(3t)+ 6 sin(3t) e. u(t) 1. Plot the impulse response for h(t) directly from the above equation by creating a time vector 2. Use the residue function to determine the transfer function H(s). Determine the locations of the poles and zeros of H(s) with the roots function, and plot them in the s-plane (x for poles, o for zeros). Use the freas function...
i. For the transfer function s+2 T(S) - 2 +9 a. find the locations of the poles and zeros (3 marks) b. plot them on the s-plane (3 marks) c. write an expression for the general form of the step response without solving for the inverse Laplace transform (2 marks) d. State the nature of the response (2 marks)
Find poles and zeros, find system order, find the differential equation model. #7) Find X(s) and ROC if x(t) = e-Itu(t) + ettu(-t) + e'sin(4t)u(-t)
1. (20 points). A transfer function has the following zeros and poles: zero at s=-105 and s= poles at s-100 and s--1000. The magnitude of the transfer function at ω= 105 rad/s is equal 100. Find the transfer function T(s) and sketch Bode plots for the magnitude and phase, ˇ
1. (20 points). A transfer function has the following zeros and poles: zero at s=-105 and s= poles at s-100 and s--1000. The magnitude of the transfer function at ω=...
Theroot-locus design method
(d) Gos)H(s)2) 5.5 Complex poles and zeros. For the systems with an open-loop transfer function given below, sketch the root locus plot. Find the asymptotes and their angles. the break-away or break-in points, the angle of arrival or departure for the complex poles and zeros, respectively, and the range of k for closed-loop stability 5 10ん k(s+21
(d) Gos)H(s)2) 5.5 Complex poles and zeros. For the systems with an open-loop transfer function given below, sketch the root...
Most questions answered within 3 hours.
-
A) A solution contains 1.49×10-2 M
potassium phosphate and
6.81×10-3 M potassium
bromide.
Solid silver acetate...
asked 1 minute from now -
Mrs. A has saved $1,200,000 and is about to retire. If she can
earn 3.75% annually...
asked 45 seconds ago -
Are soft drink preferences regional? In an effort to find out, a
market researcher surveyed 150...
asked 6 minutes ago -
Using the textbook, Topic Materials, and your own research,
write a 100-250 word response to each...
asked 18 minutes ago -
What mass of precipitate do you expect when mixing 125 mL of a
solution containing 4.88...
asked 18 minutes ago -
Novak Corporation sells computers under a 2-year warranty
contract that requires the corporation to replace defective...
asked 22 minutes ago -
why
do inversion heterozygotes supress the appearebce of recombinat
progeny that result from crossover events?
asked 32 minutes ago -
A two-slit pattern is viewed on a screen 1.40 m from the slits.
What is the...
asked 32 minutes ago -
Which of the following scenarios contain biased samples? Select
all that apply. That's not right.
a....
asked 32 minutes ago -
[Java] Create a class called FileExercises that contains the
following method
Method encrypt that does not...
asked 35 minutes ago -
An investor is considering placing a $10,000 refundable deposit
to reserve a franchise opportunity for a...
asked 42 minutes ago -
Consider an electron in a one-dimensional box of length 0.16 nm.
(a) Calculate the energy difference...
asked 56 minutes ago