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Find the time-domain response to a unit impulse input for a system described by the transfer function Q1 (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 t = 4 sec, and the closed- loop response to a step input is 0.98.

Find the time-domain response to a unit impulse input for a system described by the transfer function Q1 (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 t = 4 sec, and the closed- loop response to a step input is 0.98.

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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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) K1 s +8 (s + 1)(s + 5) Figure Qld
Transcribed Image Text: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) K1 s +8 (s + 1)(s + 5) Figure Qld
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