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Discussion 2. Chapter 4 Second Order Systems, the Underdamped case. Study the following pole plot for an underdamped second order system and its corresponding transient response equations. = cos 0 -50₁-08 00 e Im jo +jo,√1-5² = jod s-plane Re -jo,√1-5²=-jwa poles, $1.2-5 con ±j con 1-5 Peak time, 70 Tp = on Vis Settling Time, Ts n sec= Percent Overshoot, cos 0 sec= Re pole %08) x100 T Im pole sec sec Fig. 1 pole plot of an underdamped response Based on the pole plot in fig. 1, answer the following questions: 1) The imaginary part of a pole generates what part of the response? 2) The real part of a pole generates what part of a response? 3) If a pole is moved with a constant imaginary part, what will the responses have in common? 4) If a pole is moved with a constant real part, what will the responses have common? 5) If a pole is moved along a radial line extending from the origin, what will the responses have in common?

Discussion 2. Chapter 4 Second Order Systems, the Underdamped case. Study the following pole plot for an underdamped second order system and its corresponding transient response equations. = cos 0 -50₁-08 00 e Im jo +jo,√1-5² = jod s-plane Re -jo,√1-5²=-jwa poles, $1.2-5 con ±j con 1-5 Peak time, 70 Tp = on Vis Settling Time, Ts n sec= Percent Overshoot, cos 0 sec= Re pole %08) x100 T Im pole sec sec Fig. 1 pole plot of an underdamped response Based on the pole plot in fig. 1, answer the following questions: 1) The imaginary part of a pole generates what part of the response? 2) The real part of a pole generates what part of a response? 3) If a pole is moved with a constant imaginary part, what will the responses have in common? 4) If a pole is moved with a constant real part, what will the responses have common? 5) If a pole is moved along a radial line extending from the origin, what will the responses have in common?

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
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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mern.desire2learn.com/d21/le/723652/discussions/topics/648237/View?threadIdContext=3614204 Discussion 2. Chapter 4 Second Order Systems, the Underdamped case. Study the following pole plot for an underdamped second order system and its corresponding transient response equations. = cos 0 -50=-0₁ X- Con (0 Im 1000 +jw,VI-5² =jod s-plane Re O -jo,√1-5²=-jwa poles, $1.2-con j con 1-2 Peak time, 70 Tp = on Vis Settling Time, Ts 70 = n sec= Percent Overshoot, cos 0 sec = 4 Re pole %os)x100 T Im pole sec Fig. 1 pole plot of an underdamped response Based on the pole plot in fig. 1, answer the following questions: 1) The imaginary part of a pole generates what part of the response? sec 2) The real part of a pole generates what part of a response? 3) If a pole is moved with a constant imaginary part, what will the responses have in common? 4) If a pole is moved with a constant real part, what will the responses have common? 5) If a pole is moved along a radial line extending from the origin, what will the responses have in common? -Chap4-sec-4.3- Introducing ChatGPT X
Transcribed Image Text:mern.desire2learn.com/d21/le/723652/discussions/topics/648237/View?threadIdContext=3614204 Discussion 2. Chapter 4 Second Order Systems, the Underdamped case. Study the following pole plot for an underdamped second order system and its corresponding transient response equations. = cos 0 -50=-0₁ X- Con (0 Im 1000 +jw,VI-5² =jod s-plane Re O -jo,√1-5²=-jwa poles, $1.2-con j con 1-2 Peak time, 70 Tp = on Vis Settling Time, Ts 70 = n sec= Percent Overshoot, cos 0 sec = 4 Re pole %os)x100 T Im pole sec Fig. 1 pole plot of an underdamped response Based on the pole plot in fig. 1, answer the following questions: 1) The imaginary part of a pole generates what part of the response? sec 2) The real part of a pole generates what part of a response? 3) If a pole is moved with a constant imaginary part, what will the responses have in common? 4) If a pole is moved with a constant real part, what will the responses have common? 5) If a pole is moved along a radial line extending from the origin, what will the responses have in common? -Chap4-sec-4.3- Introducing ChatGPT X
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