To examine the stability of a control system, the poles of the system (roots of the denominator of its transfer function) are determined. If any of the poles is positive then the system is not stable. Examine the stability of a system with the following transfer function denominator: D(s) = s6 + 10s5 + 35s* + 315s3 + 12s2 - 140s + 2.5 Your examination should contain a graphical estimation of real poles as a first step. Then you need to determine the positive poles using Bisection and Newton-Raphson methods with 6 iterations. Critically evaluate the various results that you obtained.
To examine the stability of a control system, the poles of the system (roots of the denominator of its transfer function) are determined. If any of the poles is positive then the system is not stable. Examine the stability of a system with the following transfer function denominator: D(s) = s6 + 10s5 + 35s* + 315s3 + 12s2 - 140s + 2.5 Your examination should contain a graphical estimation of real poles as a first step. Then you need to determine the positive poles using Bisection and Newton-Raphson methods with 6 iterations. Critically evaluate the various results that you obtained.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Use Newton-Raphson's method with 6 iterations to solve it. You should show all steps of solving the activity.
Transcribed Image Text:Activity 2:
To examine the stability of a control system, the poles of the system (roots of the denominator of
its transfer function) are determined. If any of the poles is positive then the system is not stable.
Examine the stability of a system with the following transfer function denominator:
D(s) = s6 + 10s5 + 35s* + 315s3 + 12s? – 140s + 2.5
Your examination should contain a graphical estimation of real poles as a first step. Then
need to determine the positive poles using Bisection and Newton-Raphson methods with 6
iterations. Critically evaluate the various results that you obtained.
you
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