Do b, c and d? Find the time-domain response to a unit impulse input for a system describedby the transfer functionQ1(a)s+1G(s)s2 + 2s + 13(b)A system has the closed-loop transfer functionG(s)(s + 3)(s² – 4s + 13)Sketch the Pole-Zero plot for this system. Comment on the stability andresponse characteristics of the system.A PD controller with proportional gain Kp and derivative gain Ka is in serieswith a plant with the transfer function(c)4G(s)%3Ds+ 0.5and employs a unity negative feedback loop. Find suitable values for K, and Kaso that the closed-loop system has a time constant t = 4 sec, and the closed-loop response to a step input is 0.98.(d)Find the range of K, for which the closed-loop system shown in Figure Qld isstable.R(s)C(s)K1s+ 8(s + 1)(s+ 5)SFigure Qld

Solution (b) Given :Closed loop transfer function G(s)=C(s)R(s)=s(s+1)(s+3)(s2-4s+13)Poles -…

Q1 Find the time-domain response to a unit impulse input for a system described by the transfer function (a) s+1 G(s) = s2 + 2s + 13 (b) A system has the closed-loop transfer function s(s + 1) (s + 3)(s² – 4s + 13) G(s) = Sketch the Pole-Zero plot for this system. Comment on the stability and response characteristics of the system. A PD controller with proportional gain K, and derivative gain Ka is in series with a plant with the transfer function (c) 4 G(s) = s+ 0.5 and employs a unity negative feedback loop. Find suitable values for K, and Ka so that the closed-loop system has a time constant 7 = 4 sec, and the closed- loop response to a step input is 0.98. (d) Find the range of K, for which the closed-loop system shown in Figure Qld is stable. R(s) C(s) K, s+8 (s + 1)(s + 5) Figure Qld

Q1 Find the time-domain response to a unit impulse input for a system described by the transfer function (a) s+1 G(s) = s2 + 2s + 13 (b) A system has the closed-loop transfer function s(s + 1) (s + 3)(s² – 4s + 13) G(s) = Sketch the Pole-Zero plot for this system. Comment on the stability and response characteristics of the system. A PD controller with proportional gain K, and derivative gain Ka is in series with a plant with the transfer function (c) 4 G(s) = s+ 0.5 and employs a unity negative feedback loop. Find suitable values for K, and Ka so that the closed-loop system has a time constant 7 = 4 sec, and the closed- loop response to a step input is 0.98. (d) Find the range of K, for which the closed-loop system shown in Figure Qld is stable. R(s) C(s) K, s+8 (s + 1)(s + 5) Figure Qld

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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