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Sketch the region in the s-plane where the poles could be placed so that T, < 9.2 sec and %OS s 17%. If T, = 9.2 sec and %OS = 17% exactly, where would the pair of complex system poles be located? Write a second order transfer function that represents this system, taking into consideration that the final value of the step response must be unity. b Verify, via a step response plot, that your system meets the requirements. Specify T, and T,. Where would the nearest real third order pole be located so that it would not appreciably change the time- response characteristics of the system obtained in part (b)? Write a third order transfer function that includes this pole, again, taking into consideration that the final value of the step response must be unity. Compare the step responses of the system obtained in parts (b) and (c). Discuss your observations. Design a second order system without zero that would meet the following requirements simultaneously: T, S 9.2 sec, %OS s 17%, and T, S 0.6 sec. Show the location of the system poles and verify your design via a step response plot. Specify all the time response characteristics of your system.

Sketch the region in the s-plane where the poles could be placed so that T, < 9.2 sec and %OS s 17%. If T, = 9.2 sec and %OS = 17% exactly, where would the pair of complex system poles be located? Write a second order transfer function that represents this system, taking into consideration that the final value of the step response must be unity. b Verify, via a step response plot, that your system meets the requirements. Specify T, and T,. Where would the nearest real third order pole be located so that it would not appreciably change the time- response characteristics of the system obtained in part (b)? Write a third order transfer function that includes this pole, again, taking into consideration that the final value of the step response must be unity. Compare the step responses of the system obtained in parts (b) and (c). Discuss your observations. Design a second order system without zero that would meet the following requirements simultaneously: T, S 9.2 sec, %OS s 17%, and T, S 0.6 sec. Show the location of the system poles and verify your design via a step response plot. Specify all the time response characteristics of your system.

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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A certain servomechanism system has dynamics dominated by a pair of complex poles and no finite zeros. For this system, do the following.

 

Sketch the region in the s-plane where the poles could be placed so that T, < 9.2 sec and %0S < 17%. a If T, = 9.2 sec and %OS = 17% exactly, where would the pair of complex system poles be located? Write a second order transfer function that represents this system, taking into consideration that the final value of the step b response must be unity. Verify, via a step response plot, that your system meets the requirements. Specify T, and T,. Where would the nearest real third order pole be located so that it would not appreciably change the time- response characteristics of the system obtained in part (b)? Write a third order transfer function that includes this pole, again, taking into consideration that the final value of the step response must be unity. Compare the step responses of the system obtained in parts (b) and (c). Discuss your observations. Design a second order system without zero that would meet the following requirements simultaneously: T, < 9.2 sec, %OS < 17%, and T, < 0.6 sec. Show the location of the system poles and verify your design via a step response plot. Specify all the time response characteristics of your system. го d
Transcribed Image Text:Sketch the region in the s-plane where the poles could be placed so that T, < 9.2 sec and %0S < 17%. a If T, = 9.2 sec and %OS = 17% exactly, where would the pair of complex system poles be located? Write a second order transfer function that represents this system, taking into consideration that the final value of the step b response must be unity. Verify, via a step response plot, that your system meets the requirements. Specify T, and T,. Where would the nearest real third order pole be located so that it would not appreciably change the time- response characteristics of the system obtained in part (b)? Write a third order transfer function that includes this pole, again, taking into consideration that the final value of the step response must be unity. Compare the step responses of the system obtained in parts (b) and (c). Discuss your observations. Design a second order system without zero that would meet the following requirements simultaneously: T, < 9.2 sec, %OS < 17%, and T, < 0.6 sec. Show the location of the system poles and verify your design via a step response plot. Specify all the time response characteristics of your system. го d
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