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

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