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s+16 1. (100 points) A control system has a transfer function of T(s): = (s+30)(s²+4s+8) a. Find the zeros and poles of the system, Identify the poles and zeros that dominate the performance of the system. Explain why. b. Find the damping ratio and the natural frequency o with only those dominating poles/zeros considered. Hint: Find the dominant poles first, then check whether you can ignore the effects of the extra poles or zeros. Then you can simply covert that extra pole or zero (S+a) to a in the transfer function.

s+16 1. (100 points) A control system has a transfer function of T(s): = (s+30)(s²+4s+8) a. Find the zeros and poles of the system, Identify the poles and zeros that dominate the performance of the system. Explain why. b. Find the damping ratio and the natural frequency o with only those dominating poles/zeros considered. Hint: Find the dominant poles first, then check whether you can ignore the effects of the extra poles or zeros. Then you can simply covert that extra pole or zero (S+a) to a in the transfer function.

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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s+16 1. (100 points) A control system has a transfer function of T(s): = (s+30)(s²+4s+8) a. Find the zeros and poles of the system, Identify the poles and zeros that dominate the performance of the system. Explain why. b. Find the damping ratio and the natural frequency o with only those dominating poles/zeros considered. Hint: Find the dominant poles first, then check whether you can ignore the effects of the extra poles or zeros. Then you can simply covert that extra pole or zero (S+a) to a in the transfer function.
Transcribed Image Text:s+16 1. (100 points) A control system has a transfer function of T(s): = (s+30)(s²+4s+8) a. Find the zeros and poles of the system, Identify the poles and zeros that dominate the performance of the system. Explain why. b. Find the damping ratio and the natural frequency o with only those dominating poles/zeros considered. Hint: Find the dominant poles first, then check whether you can ignore the effects of the extra poles or zeros. Then you can simply covert that extra pole or zero (S+a) to a in the transfer function.
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