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Problem 7. For the system given in the figure on the right-hand side, where the input is four-unit step, r(t) = 4u(t)♥ (a) Find the value of gain K that yields 30% overshoot, (b) Find the peak time and settling time for this gain, (c) Find the steady-state and peak values of the response for this gain, R(s) K s²+s+2 1. 2K C(s)

Problem 7. For the system given in the figure on the right-hand side, where the input is four-unit step, r(t) = 4u(t)♥ (a) Find the value of gain K that yields 30% overshoot, (b) Find the peak time and settling time for this gain, (c) Find the steady-state and peak values of the response for this gain, R(s) K s²+s+2 1. 2K C(s)

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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Problem 7. For the system given in the figure on the right-hand side, where the input is four-unit step, r(t) = 4u(t). (a) Find the value of gain K that yields 30% overshoot, (b) Find the peak time and settling time for this gain, (c) Find the steady-state and peak values of the response for this gain, (d) Determine the value of gain K to get the fastest response without oscillation. R(s) K s² +s+2 1 2 K C(s) (e) Simulate this control system in Simulink and plot the responses with 30% overshoot and fastest but no oscillation on the same plane. Measure settling times of the responses on the plot.
Transcribed Image Text:Problem 7. For the system given in the figure on the right-hand side, where the input is four-unit step, r(t) = 4u(t). (a) Find the value of gain K that yields 30% overshoot, (b) Find the peak time and settling time for this gain, (c) Find the steady-state and peak values of the response for this gain, (d) Determine the value of gain K to get the fastest response without oscillation. R(s) K s² +s+2 1 2 K C(s) (e) Simulate this control system in Simulink and plot the responses with 30% overshoot and fastest but no oscillation on the same plane. Measure settling times of the responses on the plot.
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