State-Feedback Control in Descriptor Discrete-Time Fractional-Order Linear Systems: A Superstability-Based Approach

In this article, the superstabilizing state-feedback control problem in descriptor discrete-time fractional-order linear (DDFL) systems with a regular matrix pencil is studied. Methods for investigating the stability and superstability of the considered class of dynamical systems are presented. Proc...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autor principal:	Kamil Borawski
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	descriptor discrete-time fractional-order linear system state-feedback superstability Technology T Engineering (General). Civil engineering (General) TA1-2040 Biology (General) QH301-705.5 Physics QC1-999 Chemistry QD1-999
Acceso en línea:	https://doaj.org/article/30209572875b4f738838d78fd3ee0975
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

id	oai:doaj.org-article:30209572875b4f738838d78fd3ee0975
record_format	dspace
spelling	oai:doaj.org-article:30209572875b4f738838d78fd3ee09752021-11-25T16:31:40ZState-Feedback Control in Descriptor Discrete-Time Fractional-Order Linear Systems: A Superstability-Based Approach10.3390/app1122105682076-3417https://doaj.org/article/30209572875b4f738838d78fd3ee09752021-11-01T00:00:00Zhttps://www.mdpi.com/2076-3417/11/22/10568https://doaj.org/toc/2076-3417In this article, the superstabilizing state-feedback control problem in descriptor discrete-time fractional-order linear (DDFL) systems with a regular matrix pencil is studied. Methods for investigating the stability and superstability of the considered class of dynamical systems are presented. Procedures for the computation of the static state-feedback (SSF) and dynamic state-feedback (DSF) gain matrices such that the closed-loop DDFL (CL-DDFL) system is superstable are presented. A numerical example is used to show the efficacy of the presented approach. Our considerations were based on the Drazin inverse matrix method.Kamil BorawskiMDPI AGarticledescriptordiscrete-timefractional-orderlinear systemstate-feedbacksuperstabilityTechnologyTEngineering (General). Civil engineering (General)TA1-2040Biology (General)QH301-705.5PhysicsQC1-999ChemistryQD1-999ENApplied Sciences, Vol 11, Iss 10568, p 10568 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	descriptor discrete-time fractional-order linear system state-feedback superstability Technology T Engineering (General). Civil engineering (General) TA1-2040 Biology (General) QH301-705.5 Physics QC1-999 Chemistry QD1-999
spellingShingle	descriptor discrete-time fractional-order linear system state-feedback superstability Technology T Engineering (General). Civil engineering (General) TA1-2040 Biology (General) QH301-705.5 Physics QC1-999 Chemistry QD1-999 Kamil Borawski State-Feedback Control in Descriptor Discrete-Time Fractional-Order Linear Systems: A Superstability-Based Approach
description	In this article, the superstabilizing state-feedback control problem in descriptor discrete-time fractional-order linear (DDFL) systems with a regular matrix pencil is studied. Methods for investigating the stability and superstability of the considered class of dynamical systems are presented. Procedures for the computation of the static state-feedback (SSF) and dynamic state-feedback (DSF) gain matrices such that the closed-loop DDFL (CL-DDFL) system is superstable are presented. A numerical example is used to show the efficacy of the presented approach. Our considerations were based on the Drazin inverse matrix method.
format	article
author	Kamil Borawski
author_facet	Kamil Borawski
author_sort	Kamil Borawski
title	State-Feedback Control in Descriptor Discrete-Time Fractional-Order Linear Systems: A Superstability-Based Approach
title_short	State-Feedback Control in Descriptor Discrete-Time Fractional-Order Linear Systems: A Superstability-Based Approach
title_full	State-Feedback Control in Descriptor Discrete-Time Fractional-Order Linear Systems: A Superstability-Based Approach
title_fullStr	State-Feedback Control in Descriptor Discrete-Time Fractional-Order Linear Systems: A Superstability-Based Approach
title_full_unstemmed	State-Feedback Control in Descriptor Discrete-Time Fractional-Order Linear Systems: A Superstability-Based Approach
title_sort	state-feedback control in descriptor discrete-time fractional-order linear systems: a superstability-based approach
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/30209572875b4f738838d78fd3ee0975
work_keys_str_mv	AT kamilborawski statefeedbackcontrolindescriptordiscretetimefractionalorderlinearsystemsasuperstabilitybasedapproach
_version_	1718413128061943808

State-Feedback Control in Descriptor Discrete-Time Fractional-Order Linear Systems: A Superstability-Based Approach

Ejemplares similares