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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. 0. 1 (a) If the system has a state-space representation given by u and %3D -3 + [0] u, what are its transfer function G(s) and its impulse response g(t)? Verify y = results using MATLAB's ss, tf, and impulse. [2 0] your (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 10ý +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 u(t) = 5 sin(10t)? Verify your results using MATLAB's tf and 1sim. %3D %3D %3D u(t) LTI y(1) System

2. Consider a linear time-invariant (LTI) system with input u(t) and output y(t), as shown in the figure below. 0. 1 (a) If the system has a state-space representation given by u and %3D -3 + [0] u, what are its transfer function G(s) and its impulse response g(t)? Verify y = results using MATLAB's ss, tf, and impulse. [2 0] your (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 10ý +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 u(t) = 5 sin(10t)? Verify your results using MATLAB's tf and 1sim. %3D %3D %3D u(t) LTI y(1) System

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. (a) If the system has a state-space representation given by u and %3D 3 [2 0] + [0] u, what are its transfer function G(s) and its impulse response g(t)? Verify 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 = ủ +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 u(t) = 5 sin(10t)? Verify your results using MATLAB's tf and 1sim. u(t) LTI System
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. (a) If the system has a state-space representation given by u and %3D 3 [2 0] + [0] u, what are its transfer function G(s) and its impulse response g(t)? Verify 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 = ủ +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 u(t) = 5 sin(10t)? Verify your results using MATLAB's tf and 1sim. u(t) LTI System
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