Robust repeated pole placement

被引：0

作者：

Schmid, Robert ^{[1
]}

Ntogramatzidis, Lorenzo ^{[2
]}

Thang Nguyen ^{[3
]}

Pandey, Amit ^{[4
]}

机构：

[1] Univ Melbourne, Dept Elect & Elect Engn, Melbourne, Vic 3010, Australia

[2] Curtin Univ, Dept Math & Stat, Perth, WA 6848, Australia

[3] Univ Exeter, Dept Engn, Exeter EX4 4QJ, Devon, England

[4] Univ Calif San Diego, Dept Mech & Aerosp Engn, San Diego, CA USA

来源：

2013 3RD AUSTRALIAN CONTROL CONFERENCE (AUCC) | 2013年

关键词：

MULTIVARIABLE SYSTEMS; STATE-FEEDBACK; ASSIGNMENT;

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：

We consider the classic problem of pole placement by state feedback. Recently [1] offered an eigenstructure assignment algorithm to obtain a novel parametric form for the pole-placing gain matrix to deliver any set of desired closed-loop eigenvalues, with any desired multiplicities. In this paper we employ this parametric formula to introduce an unconstrained nonlinear optimisation algorithm to obtain a gain matrix that delivers any desired pole placement with optimal robustness.

引用

页码：456 / 460

页数：5

共 21 条

[1]

[Anonymous], 1993, Eigenvalues of Matrices

[2]

[Anonymous], 1983, Matrix Computations.

[3] POLYNOMIAL AND RATIONAL MATRIX INTERPOLATION - THEORY AND CONTROL APPLICATIONS [J].

ANTSAKLIS, PJ ;

GAO, ZQ .

INTERNATIONAL JOURNAL OF CONTROL, 1993, 58 (02) :349-404

[4] POLE ASSIGNMENT VIA SYLVESTER EQUATION [J].

BHATTACHARYYA, SP ;

DESOUZA, E .

SYSTEMS & CONTROL LETTERS, 1982, 1 (04) :261-263

[5]

BYERS R, 1989, INT J CONTROL, V49, P97, DOI 10.1080/00207178908559623

[6] Pole assignment via the schur form [J].

Chu, Eric King-wah .

SYSTEMS & CONTROL LETTERS, 2007, 56 (04) :303-314

[7] EIGENSTRUCTURE ASSIGNMENT IN LINEAR-MULTIVARIABLE SYSTEMS - A PARAMETRIC SOLUTION [J].

FAHMY, MM ;

OREILLY, J .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1983, 28 (10) :990-994

[8] ROBUST POLE ASSIGNMENT IN LINEAR STATE FEEDBACK [J].

KAUTSKY, J ;

NICHOLS, NK ;

VANDOOREN, P .

INTERNATIONAL JOURNAL OF CONTROL, 1985, 41 (05) :1129-1155

[9] EIGENVALUE-GENERALIZED EIGENVECTOR ASSIGNMENT WITH STATE FEEDBACK [J].

KLEIN, G ;

MOORE, BC .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1977, 22 (01) :140-141

[10] FLEXIBILITY OFFERED BY STATE FEEDBACK IN MULTIVARIABLE SYSTEMS BEYOND CLOSED-LOOP EIGENVALUE ASSIGNMENT [J].

MOORE, BC .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1976, 21 (05) :689-692

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