A linear system is modeled by the differential equationÿ(t) + 2ký(t) + ay(t) = ü(t) + 7u(t)where k is a "tunable" parameter in the dynamics.Suppose that a = 60, and it is desired that the unit step response of the system contains anocillating transient term whose damping ratio is S = 0.7What value for k is required?

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Answered: A linear system is modeled by the…

Engineering

Electrical Engineering

A linear system is modeled by the differential equation

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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Question

A linear system is modeled by the differential equation
ÿ(t) + 2ký(t) + ay(t) = ü(t) + 7u(t)
where k is a "tunable" parameter in the dynamics.
Suppose that a = 60, and it is desired that the unit step response of the system contains an
ocillating transient term whose damping ratio is S = 0.7
What value for k is required?

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