Optimal guaranteed cost control of 2-D discrete uncertain systems: An LMI approach

被引：42

作者：

Dhawan, Amit ^{[1
]}

Kar, Haranath ^{[1
]}

机构：

[1] Motilal Nehru Natl Inst Technol, Dept Elect & Commun Engn, Allahabad 211004, Uttar Pradesh, India

来源：

SIGNAL PROCESSING | 2007年 / 87卷 / 12期

关键词：

guaranteed cost control; linear matrix inequality; lyapunov methods; robust stability; 2-D discrete systems; uncertain systems;

D O I：

10.1016/j.sigpro.2007.06.001

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

This paper addresses the problem of the optimal guaranteed cost control for a class of two-dimensional (2-D) discrete systems described by the Fornasini-Marchesini second local state-space (FMSLSS) model with norm-bounded uncertainties. A linear matrix inequality (LMI)-based new criterion for the existence of a state feedback controller which guarantees not only the asymptotic stability of the closed-loop system, but also an adequate performance bound over all the possible parameter uncertainties is established. Furthermore, a convex optimization problem with LMI constraints is formulated to design the optimal guaranteed cost controller which minimizes the upper bound of the closed-loop cost function. (C) 2007 Elsevier B.V. All rights reserved.

引用

页码：3075 / 3085

页数：11

共 42 条

[1] Stability of asynchronous two-dimensional Fornasini-Marchesini dynamical systems [J].

Bhaya, A ;

Kaszkurewicz, E ;

Su, Y .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2001, 332 :257-263

[2]

BOSE NK, 1982, APPL MULTIMENSIONAL

[3]

Boy S., 1994, Linear MatrixInequalities in System and Control Theory

[4]

Bracewell R. N., 1995, Two-Dimensional Imaging

[5] ADAPTIVE GUARANTEED COST CONTROL OF SYSTEMS WITH UNCERTAIN PARAMETERS [J].

CHANG, SSL ;

PENG, TKC .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1972, AC17 (04) :474-&

[6] LMI-based criterion for the robust guaranteed cost control of 2-D systems described by the Fornasini-Marchesini second model [J].

Dhawan, Amit ;

Kar, Haranath .

SIGNAL PROCESSING, 2007, 87 (03) :479-488

[7] Stability analysis and stabilization of uncertain two-dimensional discrete systems: An LMI approach [J].

Du, C ;

Xie, L .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1999, 46 (11) :1371-1374

[8] H∞ control and robust stabilization of two-dimensional systems in Roesser models [J].

Du, CL ;

Xie, LH ;

Zhang, CS .

AUTOMATICA, 2001, 37 (02) :205-211

[9] H∞ filtering of 2-D discrete systems [J].

Du, CL ;

Xie, LH ;

Soh, YC .

IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2000, 48 (06) :1760-1768

[10] CONTROL OF THE METAL ROLLING PROCESS - A MULTIDIMENSIONAL SYSTEM APPROACH [J].

FODA, S ;

AGATHOKLIS, P .

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 1992, 329 (02) :317-332

← 1 2 3 4 5 →