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

被引：1

作者：

Borawski, Kamil ^{[1
]}

机构：

[1] Bialystok Tech Univ, Fac Elect Engn, Dept Automat Control & Robot, Wiejska 45D St, PL-15351 Bialystok, Poland

来源：

APPLIED SCIENCES-BASEL | 2021年 / 11卷 / 22期

关键词：

descriptor; discrete-time; fractional-order; linear system; state-feedback; superstability; SUFFICIENT CONDITIONS; PRACTICAL STABILITY; DRAZIN INVERSE; REGULARIZATION; SPACE;

D O I：

10.3390/app112210568

中图分类号：

O6 [化学];

学科分类号：

0703 ;

摘要：

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.

引用

页数：20

共 50 条

[1] Predictive control of linear fractional-order systems based on discrete-time fractional-order Laguerre filters
Stanislawski, Rafal
Latawiec, Krzysztof J.
Rydel, Marek
Lukaniszyn, Marian
Galek, Marcin
[J]. 2018 23RD INTERNATIONAL CONFERENCE ON METHODS & MODELS IN AUTOMATION & ROBOTICS (MMAR), 2018, : 110 - 113
[2] State-feedback control of discrete-time switched positive linear systems
Zhao, X.
Zhang, L.
Wang, Z.
[J]. IET CONTROL THEORY AND APPLICATIONS, 2012, 6 (18): : 2829 - 2834
[3] Robust H∞ state-feedback design for discrete-time descriptor systems
Rodriguez, Carlos
Barbosa, Karina A.
Coutinho, Daniel
[J]. IFAC PAPERSONLINE, 2018, 51 (25): : 78 - 83
[4] Switched State-Feedback Control of Discrete-Time Linear Systems with Multiplicative Noises
Gonzaga, C. A. C.
Costa, O. L. V.
[J]. 2013 IEEE 52ND ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC), 2013, : 5327 - 5332
[5] On LMI Approach to Robust State-Feedback Roo Control for Discrete-Time Descriptor Systems with Uncertainties in All Matrices
Belov, Alexey A.
Andrianova, Olga G.
[J]. IFAC PAPERSONLINE, 2017, 50 (01): : 15483 - 15487
[6] State-feedback Control of Stochastic Discrete-time Linear Switched Systems with Dwell Time
Allerhand, Liron I.
Gershon, Eli
Shaked, Uri
[J]. 2015 EUROPEAN CONTROL CONFERENCE (ECC), 2015, : 452 - 457
[7] On a State Feedback Anisotropy-based Control Problem for Linear Discrete-time Descriptor Systems
Andrianova, Olga G.
[J]. 2014 15TH INTERNATIONAL CARPATHIAN CONTROL CONFERENCE (ICCC), 2014, : 1 - 5
[8] Chaotic Control in Fractional-Order Discrete-Time Systems
Ouannas, Adel
Grassi, Giuseppe
Azar, Ahmad Taher
Khennaouia, Amina Aicha
Viet-Thanh Pham
[J]. PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON ADVANCED INTELLIGENT SYSTEMS AND INFORMATICS 2019, 2020, 1058 : 207 - 217
[9] A New Approach for Stability Analysis of Linear Discrete-Time Fractional-Order Systems
Guermah, Said
Djennoune, Said
Bettayeb, Maamar
[J]. NEW TRENDS IN NANOTECHNOLOGY AND FRACTIONAL CALCULUS APPLICATIONS, 2010, : 151 - +
[10] OPTIMAL CONTROL FOR DISCRETE-TIME, LINEAR FRACTIONAL-ORDER SYSTEMS WITH MARKOVIAN JUMPS
Ungureanu, Viorica Mariela
[J]. PROCEEDINGS OF THE TWENTY-FIRST INTERNATIONAL CONFERENCE ON GEOMETRY, INTEGRABILITY AND QUANTIZATION, 2020, 21 : 291 - 301

← 1 2 3 4 5 →