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a) Consider the continuous-time system described by the transfer function 17 H(s) = s2 + 2s + 17 as in lecture notes. The system poles are at –1+ j4. i) the step response of this system is approximately V17 sin(4t + 1.326), t2 0 4 y(t) = 1 - Show the derivation by explicitly using partial fraction expansion and verify whether this formula is correct. ii) Compute the system's steady state response ys (t) to the input signal v(t) = u(t) sin 4t, showing all steps.

a) Consider the continuous-time system described by the transfer function 17 H(s) = s2 + 2s + 17 as in lecture notes. The system poles are at –1+ j4. i) the step response of this system is approximately V17 sin(4t + 1.326), t2 0 4 y(t) = 1 - Show the derivation by explicitly using partial fraction expansion and verify whether this formula is correct. ii) Compute the system's steady state response ys (t) to the input signal v(t) = u(t) sin 4t, showing all steps.

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
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a) Consider the continuous-time system described by the transfer function 17 H(s) = s2 + 2s + 17 as in lecture notes. The system poles are at –1+ j4. i) the step response of this system is approximately V17 y(t) = 1 - sin(4t + 1.326), t>0 4 Show the derivation by explicitly using partial fraction expansion and verify whether this formula is correct. ii) Compute the system's steady state response yss(t) to the input signal v(t) = u(t) sin 4t, showing all steps.
Transcribed Image Text:a) Consider the continuous-time system described by the transfer function 17 H(s) = s2 + 2s + 17 as in lecture notes. The system poles are at –1+ j4. i) the step response of this system is approximately V17 y(t) = 1 - sin(4t + 1.326), t>0 4 Show the derivation by explicitly using partial fraction expansion and verify whether this formula is correct. ii) Compute the system's steady state response yss(t) to the input signal v(t) = u(t) sin 4t, showing all steps.
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