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) = s° + 10s5 + 35s* + 315s + 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) = s° + 10s5 + 35s* + 315s + 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.
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter7: Conic Sections And Quadratic Systems
Section7.4: Solving Nonlinear Systems Of Equations
Problem 63E
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