Residues in Partial Fraction Decomposition Applied to Pole Sensitivity Analysis and Root Locus Construction

The applications of the partial fraction decomposition in control and systems engineering are several. In this letter, we propose a new interpretation of residues in the partial fraction decomposition, which is employed for the following purposes: to address the pole sensitivity problem, namely to s...

Full description

Saved in:
Bibliographic Details
Published in:arXiv.org 2024-10
Main Authors: Tebaldi, Davide, Zanasi, Roberto
Format: Article
Language:English
Subjects:
Algorithms
Control systems
Decomposition
Parameter sensitivity
Residues
Root locus
Sensitivity analysis
Systems engineering
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The applications of the partial fraction decomposition in control and systems engineering are several. In this letter, we propose a new interpretation of residues in the partial fraction decomposition, which is employed for the following purposes: to address the pole sensitivity problem, namely to study the speed of variation of the system poles when the control parameter changes and when the system is subject to parameters variations, as well as to propose a new algorithm for the construction of the root locus. The new algorithm is proven to be more efficient in terms of execution time than the dedicated MATLAB function, while providing the same output results.
ISSN:2331-8422
DOI:10.48550/arxiv.2410.16518