A new form of a σ-inverse for nonsquare polynomial matrices

被引：0

作者：

Hunek, Wojciech ^{[1
]}

Latawiec, Krzysztof ^{[1
]}

Stanislawski, Rafal ^{[1
]}

Lukaniszyn, Marian ^{[1
]}

Dzierwa, Piotr ^{[1
]}

机构：

[1] Opole Univ Technol, Dept Elect Control & Comp Engn, Opole, Poland

来源：

2013 18TH INTERNATIONAL CONFERENCE ON METHODS AND MODELS IN AUTOMATION AND ROBOTICS (MMAR) | 2013年

关键词：

OVERSAMPLED FILTER BANKS; MINIMUM-VARIANCE CONTROL; RIGHT/LEFT INVERSES; DISCRETE-TIME;

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：

This paper presents a new simple form of a polynomial matrix sigma-inverse introduced as a result of research works on minimum variance control (MVC) for LTI MIMO nonsquare systems. A new approach to construction of a sigma-inverse of a nonsquare polynomial matrix can result in e.g. pole-free design of MVC, which is provided by specially selected degrees of freedom of the sigma-inverse. A simulation example in the Matlab (R) environment illustrates theoretical achievements of the paper.

引用

页码：282 / 286

页数：5

共 50 条

[1] A new nonunique PSVD-based inverse of nonsquare polynomial matrices
Hunek, Wojciech P.
Majewski, Pawel
2018 23RD INTERNATIONAL CONFERENCE ON METHODS & MODELS IN AUTOMATION & ROBOTICS (MMAR), 2018, : 654 - 657
[2] A STUDY ON NEW RIGHT/LEFT INVERSES OF NONSQUARE POLYNOMIAL MATRICES
Hunek, Wojciech P.
Latawiec, Krzysztof J.
INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND COMPUTER SCIENCE, 2011, 21 (02) : 331 - 348
[3] INVERSE OF POLYNOMIAL-MATRICES IN THE IRREDUCIBLE FORM
CHANG, FR
SHIEH, LS
MCINNIS, BC
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1987, 32 (06) : 507 - 509
[4] GENERALIZED INVERSE OF POLYNOMIAL MATRICES
BOSE, NK
MITRA, SK
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1978, 23 (03) : 491 - 493
[5] ON BEZOUTIANS OF NONSQUARE MATRIX POLYNOMIALS AND INVERSION OF MATRICES WITH NONSQUARE BLOCKS
GOHBERG, I
SHALOM, T
LINEAR ALGEBRA AND ITS APPLICATIONS, 1990, 137 : 249 - 323
[6] POLYNOMIAL INVERSE IMAGES AND POLYNOMIAL NUMERICAL HULLS OF NORMAL MATRICES
Afshin, Hamid Reza
Mehrjoofard, Mohammad Ali
Salemi, Abbas
OPERATORS AND MATRICES, 2011, 5 (01): : 89 - 96
[7] REDUCING POLYNOMIAL MATRICES TO CANONICAL FORM
WARREN, ME
EMAM, A
COMPUTERS & ELECTRICAL ENGINEERING, 1979, 6 (02) : 123 - 136
[8] Relationship between S- and σ-inverse for some class of nonsquare matrices - an initial study
Hunek, Wojciech P.
Majewski, Pawel
2019 IEEE 15TH INTERNATIONAL CONFERENCE ON CONTROL AND AUTOMATION (ICCA), 2019, : 1156 - 1160
[9] Computing generalized inverse of polynomial matrices by interpolation
Stanimirovic, PS
Petkovic, MD
APPLIED MATHEMATICS AND COMPUTATION, 2006, 172 (01) : 508 - 523
[10] A NOVEL NORMAL FORM FOR LINEAR POLYNOMIAL MATRICES
FETTWEIS, A
ARCHIV DER ELEKTRISCHEN UND UBERTRAGUNG, 1969, 23 (09): : 449 - &

← 1 2 3 4 5 →