A system has a complex pole pair of (-1± 2j) and a real zero of (-3). The steadystate output to a unit step input is 2. Estimate the transfer function of thesystem.Q1) a)b). Using the transfer function derived in a) calculate the followingi) The damping ratio.ii) The undamped natural frequency.iii) The steady state gain.iv) The steady state output.v) The output y(t) using inverse Laplace methods.c)A single input single output system with y(t) as output and u(t) as input, isdescribe byd²y(t)dy(t)+ 10y(t) = 5du(t)-3u(t)dt+ 2%3Ddt?dtFor an input u(t) with zero initial conditions the above system produces thesame output as with no input and with initial conditionsdy(t)= -4,y(0) = 1%3DdtWhat will be the input u(t)? Hence, Calculate the steady state output.d) Let z(t) be the unit step response of a system with a transfer functionK(s + a)G(s) =s+ KIf z (0) = 10 and z(0)100, then what are the values of 'a and 'K?%3D

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A system has a complex pole pair of (-1+ 2j) and a real zero of (-3). The steady state output to a unit step input is 2. Estimate the transfer function of the system. Q1) a) b). Using the transfer function derived in a) calculate the following i) The damping ratio. ii) The undamped natural frequency. iii) The steady state gain.

A system has a complex pole pair of (-1+ 2j) and a real zero of (-3). The steady state output to a unit step input is 2. Estimate the transfer function of the system. Q1) a) b). Using the transfer function derived in a) calculate the following i) The damping ratio. ii) The undamped natural frequency. iii) The steady state gain.

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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