Applications of the Partial Fraction Decomposition to Pole Variation Rate for Root Locus Construction

The applications of the partial fraction decomposition in control and systems engineering are several. In this letter, we use the partial fraction decomposition to address the pole variation rate problem, namely to study the rate of variation of the system poles when the control parameter changes an...

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Bibliographic Details
Published inIEEE control systems letters Vol. 8; pp. 2925 - 2930
Main Authors Tebaldi, Davide, Zanasi, Roberto
Format Journal Article
LanguageEnglish
Published IEEE 2024
Subjects
Approximation algorithms
Control theory
Electric motors
Mathematical models
MATLAB
Partial fraction decomposition
pole variation rate
Poles and zeros
Polynomials
Proposals
root locus
root locus construction
Software algorithms
Vectors
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Summary:The applications of the partial fraction decomposition in control and systems engineering are several. In this letter, we use the partial fraction decomposition to address the pole variation rate problem, namely to study the rate of variation of the system poles when the control parameter changes and when the system is subject to variations of its own parameters, which has led to the proposal of a new algorithm for the construction of the root locus. The new algorithm is proven to be much more efficient in terms of execution time than the dedicated MATLAB function, while providing the same output results.
ISSN:2475-1456
2475-1456
DOI:10.1109/LCSYS.2024.3511995