Consider a first-order time-delay system given bykeH(s)=1+TSwhere kis the static gain, t, is the time delay and T is the time constant.Q1) Show that by applying the Laplace inverse, the output y can be expressed asy(1) = 0 Vot,Q2) show by integration thatQ3) Let e = [T,k,kt,] and w = y)dn, write the Equation in 02) in the following form w) = ¢ (t)e.where the expression for o (t) is to bespecified.04) Identlfy the three parameters 1, k and t, using the optimization technique in the sense of the Least square method. giving that the stepresponse y(t) measured at each sampling time t=D0.1.2.3,4.5,6.7.8,9 is given as y(t)=[000.26 0.46 0,560.65 0.67 0.720.730.72].

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Consider a first-order time-delay system given by ke H(s)= 1+TS where kis the static gain, t, is the time delay and T is the time constant. Q1) Show that by applying the Laplace inverse, the output y(f) can be expressed as y(t) =0 VOt,

Consider a first-order time-delay system given by ke H(s)= 1+TS where kis the static gain, t, is the time delay and T is the time constant. Q1) Show that by applying the Laplace inverse, the output y(f) can be expressed as y(t) =0 VOt,

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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