LMI optimization approach to robust decentralized controller design

被引：12

作者：

Labibi, Batool ^{[1
]}

Marquez, Horacio Jose ^{[1
]}

Chen, Tongwen ^{[1
]}

机构：

[1] Univ Alberta, Dept Elect & Comp Engn, Edmonton, AB T6G 2V4, Canada

来源：

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL | 2011年 / 21卷 / 08期

基金：

加拿大自然科学与工程研究理事会;

关键词：

decentralized control; diagonal dominance; dynamic output feedback; linear matrix inequalities; robust control; DYNAMIC OUTPUT-FEEDBACK; GUARANTEED COST CONTROL; LARGE-SCALE SYSTEMS; DIAGONAL DOMINANCE; DELAY SYSTEMS; STABILIZATION;

D O I：

10.1002/rnc.1636

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

A new approach for design of robust decentralized controllers for continuous linear time-invariant systems is proposed using linear matrix inequalities (LMIs). The proposed method is based on closed-loop diagonal dominance. Sufficient conditions for closed-loop stability and closed-loop block-diagonal dominance are obtained. Satisfying the obtained conditions is formulated as an optimization problem with a system of LMI constraints. By adding an extra LMI constraint to the system of LMI constraints in the optimization problem, the robust control is addressed as well. Accordingly, the decentralized robust control problem for a multivariable system is reduced to an optimization problem for a system of LMI constraints to be feasible. An example is given to show the effectiveness of the proposed method. Copyright (C) 2010 John Wiley & Sons, Ltd.

引用

页码：904 / 924

页数：21

共 23 条

[1]

[Anonymous], 1974, Computer Aided Control System Design

[2] A non-iterative LMI-based algorithm for robust static-output-feedback stabilization [J].

Benton, RE ;

Smith, D .

INTERNATIONAL JOURNAL OF CONTROL, 1999, 72 (14) :1322-1330

[3] Robust output-feedback controller design via local BMI optimization [J].

Kanev, S ;

Scherer, C ;

Verhaegen, M ;

De Schutter, B .

AUTOMATICA, 2004, 40 (07) :1115-1127

[4] Decentralized guaranteed cost control for uncertain large-scale systems using delayed feedback: LMI optimization approach [J].

Kown, O. M. ;

Park, J. H. .

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2006, 129 (03) :391-414

[5] Diagonal dominance via eigenstructure assignment [J].

Labibi, B ;

Marquez, HJ ;

Chen, T .

INTERNATIONAL JOURNAL OF CONTROL, 2006, 79 (07) :707-718

[6]

Maciejowski J. M., 1989, Multivariable feedback design, V1st

[7] On a new method for H2-based decomposition [J].

Nobakhti, Amin ;

Wang, Hong .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2006, 51 (12) :1956-1961

[8]

NWOKAH ODI, 1993, IEEE P CONTROL THEOR, V142, P23

[9] DECENTRALIZED CONTROL USING QUASI-BLOCK DIAGONAL DOMINANCE OF TRANSFER FUNCTION MATRICES. [J].

Ohta, Yuzo ;

Siljak, Dragoslav D. ;

Matsumoto, Tadashi .

1600, (AC-31)

[10] Decentralized dynamic output feedback controller design for guaranteed cost stabilization of large-scale discrete-delay systems [J].

Park, JH ;

Jung, HY ;

Park, JI ;

Lee, SG .

APPLIED MATHEMATICS AND COMPUTATION, 2004, 156 (02) :307-320

← 1 2 3 →