Pole assignment in the regular row-by-row decoupling problem

被引：7

作者：

Wei, Musheng ^{[1
]}

Shen, Dongmei ^{[2
]}

机构：

[1] Shanghai Normal Univ, Coll Math & Sci, Shanghai 200234, Peoples R China

[2] Shanghai Finance Univ, Dept Appl Math, Shanghai 201209, Peoples R China

来源：

AUTOMATICA | 2013年 / 49卷 / 02期

关键词：

Right invertible system; Canonical decomposition; Regular row-by-row decoupling; Pole assignment; LINEAR-MULTIVARIABLE SYSTEMS; MATRIX PENCIL APPROACH; STATIC-STATE-FEEDBACK; MORGAN PROBLEM; STABILITY;

D O I：

10.1016/j.automatica.2012.11.008

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

By applying the canonical decomposition of the right invertible system {C, A, B} obtained in Wei, Cheng, and Wang (2010), in this paper we derive a general formula of all solutions to the regular row-by-row decoupling problem. Based on this formula we characterize all attainable transfer function matrices for the decoupling and pole assignment problem in general cases. The results obtained in this paper extend those in the literature. (C) 2012 Elsevier Ltd. All rights reserved.

引用

页码：349 / 359

页数：11

共 50 条

[1] A new method for the row-by-row decoupling problem with pole assignment
Garone, Emanuele
Schmid, Robert
Ntogramatzidis, Lorenzo
2016 EUROPEAN CONTROL CONFERENCE (ECC), 2016, : 1401 - 1405
[2] A numerical solution for the simultaneous disturbance decoupling and row-by-row decoupling problem
Chu, DL
Hung, YS
LINEAR ALGEBRA AND ITS APPLICATIONS, 2000, 320 (1-3) : 37 - 49
[3] A Canonical Decomposition of the Right Invertible System and All Solutions of the Regular Row-By-Row Decoupling Problem
Wei Musheng
Shen Dongmei
2011 30TH CHINESE CONTROL CONFERENCE (CCC), 2011, : 53 - 56
[4] On equivalence at infinity and row-by-row decoupling for linear systems with delays
Rabah, R
LINEAR TIME DELAY SYSTEMS (LTDS'98), 1999, : 19 - 23
[5] Weak structure at infinity and row-by-row decoupling for linear delay systems
Rabah, R
Malabre, M
KYBERNETIKA, 2004, 40 (02) : 181 - 195
[6] THE ROW-BY-ROW DECOUPLING VIA STATE-FEEDBACK - A POLYNOMIAL APPROACH
ZAGALAK, P
LAFAY, JF
HERRERAHERNANDEZ, AN
AUTOMATICA, 1993, 29 (06) : 1491 - 1499
[7] The pole assignment for the regular triangular decoupling problem
Shen, Dongmei
Wei, Musheng
AUTOMATICA, 2015, 53 : 208 - 215
[8] Reversing the row order for the row-by-row frontal method
Reid, JK
Scott, JA
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2001, 8 (01) : 1 - 6
[9] THE ROW BY ROW DECOUPLING PROBLEM WITH STABILITY - A STRUCTURAL APPROACH
CARLOS, J
GARCIA, M
MALABRE, M
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1994, 39 (12) : 2457 - 2460
[10] Numerically reliable computing for the row by row decoupling problem with stability
Chu, DL
Tan, RCE
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2002, 23 (04) : 1143 - 1170

← 1 2 3 4 5 →