Stability analysis of robust control problems in linear descriptor systems with matching conditions

Khudhur, Azhar Abbas; Jasim, Sabeeh Lafta

doi:10.47974/JIM-1578

Open Access Research Article

Stability analysis of robust control problems in linear descriptor systems with matching conditions

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

* Corresponding author · click or hover a name for details

pp. 1541–1547Vol. 26Issue 7October 2023DOI: 10.47974/JIM-1578XML

Published Online:: 29 Nov 2023
Article type:: Research Article
Language:: EN
Article no.:: JIM-1578
Pages:: 1541–1547

Abstract

We investigate the optimal control equivalent and state feedback approach to linear time-invariant descriptor systems with norm-bounded uncertainty in matrix A(q). The goal is to find a controller that can stabilize the system even in the presence of random perturbations and to study the effect of initial conditions on the system’s stability. The systems with matching conditions and also linear algebraic equations with the full rank of the algebraic coefficient matrix are investigated. The solution to the optimal control problem (OCP) for the linear descriptor system (LDS) is the solution to the robust linear descriptor control problem provided. We will show that with theorems and examples.

Keywords

Descriptor system Optimal control Robust control Uncertainty Matching condition

Subject Classifications

03B4705C50

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