Homework Help is Here – Start Your Trial Now!
Engineering
Electrical Engineering
2. Consider a linear time-invariant (LTI) system with input u(t) and output y(t), as shown in the figure below. u(t) LTI System (a) If the system has a state-space representation given by u and -3 y = 2 0 1+ (0 u, what are its transfer function G(s) and its impulse response g(t)? Verify %3D your results using MATLAB's ss, tf, and impulse. (b) If the system has an impulse response given by g(t) = e-4t sin(5t), what are its transfer function G(s) and its input-output differential equation? (c) If the system is described by the input-output differential equation 10g+y = ù +u, what are its transfer function G(s) and its unit-step response y(t) when the initial condition is y(0) = 2? (d) If the system has a transfer function given by G(s) = what is its output y(t) in steady-state when its input is ult) = 5 sin(10t)? Verify your resnlts using MATLAB's tf and 1sim. %3D Reconsider the LTI system shown in Problem 2 and let its transfer function G(a) be given by G(s) +100 Te+1)+10000) LAB's bode. %3D Sketch the asymptotes of the Bode plot of G(s) by hand. Verify your sketch using MAT-

2. Consider a linear time-invariant (LTI) system with input u(t) and output y(t), as shown in the figure below. u(t) LTI System (a) If the system has a state-space representation given by u and -3 y = 2 0 1+ (0 u, what are its transfer function G(s) and its impulse response g(t)? Verify %3D your results using MATLAB's ss, tf, and impulse. (b) If the system has an impulse response given by g(t) = e-4t sin(5t), what are its transfer function G(s) and its input-output differential equation? (c) If the system is described by the input-output differential equation 10g+y = ù +u, what are its transfer function G(s) and its unit-step response y(t) when the initial condition is y(0) = 2? (d) If the system has a transfer function given by G(s) = what is its output y(t) in steady-state when its input is ult) = 5 sin(10t)? Verify your resnlts using MATLAB's tf and 1sim. %3D Reconsider the LTI system shown in Problem 2 and let its transfer function G(a) be given by G(s) +100 Te+1)+10000) LAB's bode. %3D Sketch the asymptotes of the Bode plot of G(s) by hand. Verify your sketch using MAT-

Introductory Circuit Analysis (13th Edition)
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
icon
Related questions
Question

I only need help with the blue circled part. Thanks

2. Consider a linear time-invariant (LTI) system with input u(t) and output y(t), as shown in the figure below. u(t) LTI System (a) If the system has a state-space representation given by u and -3 y = 2 0 +0 u, what are its transfer function G(s) and its impulse response g(t)? Verify %3D your results using MATLAB's ss, tf, and impulse. (b) If the system has an impulse response given by g(t) = e-4t sin(5t), what are its transfer function G(s) and its input-output differential equation? (c) If the system is described by the input-output differential equation 10y +y = ù +u, what are its transfer function G(s) and its unit-step response y(t) when the initial condition is y(0) = 2? (d) If the system has a transfer function given by G(s) = what is its output y(t) in steady-state when its input is ult) = 5 sin(10t)? Verify your resnlts using MATLAB's tf and 1sim. %3D Reconsider the LTI system shown in Problem 2 and let its transfer function G(s) be given by Gls) +100 Te+1)+10000)* LAB's bode. %3D Sketch the asymptotes of the Bode plot of G(s) by hand. Verify your sketch using MAT-
Transcribed Image Text:2. Consider a linear time-invariant (LTI) system with input u(t) and output y(t), as shown in the figure below. u(t) LTI System (a) If the system has a state-space representation given by u and -3 y = 2 0 +0 u, what are its transfer function G(s) and its impulse response g(t)? Verify %3D your results using MATLAB's ss, tf, and impulse. (b) If the system has an impulse response given by g(t) = e-4t sin(5t), what are its transfer function G(s) and its input-output differential equation? (c) If the system is described by the input-output differential equation 10y +y = ù +u, what are its transfer function G(s) and its unit-step response y(t) when the initial condition is y(0) = 2? (d) If the system has a transfer function given by G(s) = what is its output y(t) in steady-state when its input is ult) = 5 sin(10t)? Verify your resnlts using MATLAB's tf and 1sim. %3D Reconsider the LTI system shown in Problem 2 and let its transfer function G(s) be given by Gls) +100 Te+1)+10000)* LAB's bode. %3D Sketch the asymptotes of the Bode plot of G(s) by hand. Verify your sketch using MAT-
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
8086 Microprocessor
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
Recommended textbooks for you
Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:
9780133923605
Author:
Robert L. Boylestad
Publisher:
PEARSON
Delmar's Standard Textbook Of Electricity
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Electrical Engineering
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education
Fundamentals of Electric Circuits
Fundamentals of Electric Circuits
Electrical Engineering
ISBN:
9780078028229
Author:
Charles K Alexander, Matthew Sadiku
Publisher:
McGraw-Hill Education
Electric Circuits. (11th Edition)
Electric Circuits. (11th Edition)
Electrical Engineering
ISBN:
9780134746968
Author:
James W. Nilsson, Susan Riedel
Publisher:
PEARSON
Engineering Electromagnetics
Engineering Electromagnetics
Electrical Engineering
ISBN:
9780078028151
Author:
Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher:
Mcgraw-hill Education,
SEE MORE TEXTBOOKS