Robust and optimal control of linear control systems and their equivalency

Khudhur, Azhar Abbas; Jasim, Sabeeh Lafta

doi:10.47974/JIM-1580

Open Access Research Article

Robust and optimal control of linear control systems and their equivalency

^*Azhar Abbas KhudhurCorresponding authorscipg.azhar.abbas@uobasrah.edu.iqDepartment of MathematicsCollege of ScienceBasrah UniversityBasrah, IraqView full profile → , Sabeeh Lafta Jasimsabeeh.jasim@uobasrah.edu.iqDepartment of MathematicsCollege of ScienceBasrah UniversityBasrah, IraqView full profile →

* Corresponding author · click or hover a name for details

pp. 1555–1562Vol. 26Issue 7October 2023DOI: 10.47974/JIM-1580XML

Published Online:: 29 Nov 2023
Article type:: Research Article
Language:: EN
Article no.:: JIM-1580
Pages:: 1555–1562

Abstract

In the field of control theory, there has been an increase in interest in studies on the equivalence of robust and optimum control of linear control systems. To provide appropriate constraints for increased stability and control performance, we study in this work the link between linear systems under robust and optimum control as well as the equivalence between the two. We will present in this research significant changes to the way constraints are designed, which may also improve system control and stability. We will show that with theorems and examples.

Keywords

Optimal control problem Robust control problem Ordinary differential equations Uncertainty Matched condition

Subject Classifications

14C2047A48

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