Decomposition and application of Jordan form to controllability test of positive fractional discrete-time systems with delay in state vector

被引：0

作者：

Kociszewski, Rafal ^{[1
]}

机构：

[1] Bialystok Tech Univ, Fac Elect Engn, Wiejska 45D, PL-15354 Bialystok, Poland

来源：

2017 22ND INTERNATIONAL CONFERENCE ON METHODS AND MODELS IN AUTOMATION AND ROBOTICS (MMAR) | 2017年

关键词：

fractional; discrete-time; time-delay; Jordan form; decomposition; KALMAN DECOMPOSITION;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In the paper the linear discrete-time fractional systems with one delay in state vector is considered. For this class of systems the problems of decomposition of uncontrollable system into controllable subsystem and controllability test using Jordan form are presented and discussed. The considerations are illustrated by numerical examples.

引用

页码：508 / 513

页数：6

共 32 条

[1]

[Anonymous], 2013, Mathematical control theory: deterministic finite dimensional systems

[2]

[Anonymous], 1999, FRACTIONAL DIFFERENT

[3]

[Anonymous], 2001, Matrix Analysis and Applied Linear Algebra

[4]

[Anonymous], 2000, PUR AP M-WI

[5]

[Anonymous], 2011, SELECTED PROBLEMFR

[6]

Babiarz A, 2017, LECT NOTES ELECT ENG, V407

[7]

Basile G, 1992, Controlled and conditioned invariants in linear system theory

[8] COMPUTING THE KALMAN DECOMPOSITION - AN OPTIMAL METHOD [J].

BOLEY, D .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1984, 29 (01) :51-53

[9]

Busawon KK, 2000, IEEE DECIS CONTR P, P3386, DOI 10.1109/CDC.2000.912226

[10] Algorithms for Transformation into the Extended Jordan Controllable and Observable Forms [J].

Busawon, Krishna ;

Djemai, Mohamed .

PROCEEDINGS OF THE 48TH IEEE CONFERENCE ON DECISION AND CONTROL, 2009 HELD JOINTLY WITH THE 2009 28TH CHINESE CONTROL CONFERENCE (CDC/CCC 2009), 2009, :1764-1769

← 1 2 3 4 →