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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...
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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-
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