For the following transfer functions: (a) Calculate the DC gain (final-value when input is a unit-step-function) (b) Determine if the system is stable or not. (c) If the system is stable calculate the relative stability (horizontal distance from the imaginary axis) (d) Draw the location of the poles (X) and zeros (0) on the s-plane (e) If the system is stable and underdamped calculate: (e.1) dominant time constant [s] (e.2) settling time (1% criterion) [s] (e.3) rise time [s] (e.4) delay time (ta) [s] (e.5) maximum overshoot (Mp) [%] (e.6) peak time [s] [rad] (e.7) natural frequency/ies S (e.8) oscillation frequency/ies (f) If the system is stable and overdamped (or critically damped) calculate: (f.1) dominant time constant [s] (f.2) settling time (1% criterion) [s] (3) T3 (s) = = (4) T4(s) = (5) T5(s) = = 280 s²+14s+245 rad -s²+52s+445 (s+37) (s²+10s+89) 14s² +56s+152 (s+16) (s²+4s+20)

For the following transfer functions: (a) Calculate the DC gain (final-value when input is a unit-step-function) (b) Determine if the system is stable or not. (c) If the system is stable calculate the relative stability (horizontal distance from the imaginary axis) (d) Draw the location of the poles (X) and zeros (0) on the s-plane (e) If the system is stable and underdamped calculate: (e.1) dominant time constant [s] (e.2) settling time (1% criterion) [s] (e.3) rise time [s] (e.4) delay time (ta) [s] (e.5) maximum overshoot (Mp) [%] (e.6) peak time [s] [rad] (e.7) natural frequency/ies S (e.8) oscillation frequency/ies (f) If the system is stable and overdamped (or critically damped) calculate: (f.1) dominant time constant [s] (f.2) settling time (1% criterion) [s] (3) T3 (s) = = (4) T4(s) = (5) T5(s) = = 280 s²+14s+245 rad -s²+52s+445 (s+37) (s²+10s+89) 14s² +56s+152 (s+16) (s²+4s+20)

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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