Mixed H2/H∞ output-feedback control of second-order neutral systems with time-varying state and input delays

被引：93

作者：

Karimi, Hamid Reza ^{[1
]}

Gao, Huijun ^{[2
]}

机构：

[1] Univ Bremen, Fac Math & Comp Sci, Ctr Ind Math, D-28359 Bremen, Germany

[2] Harbin Inst Technol, Space Control & Inertial Technol Res Ctr, Harbin 150001, Peoples R China

来源：

ISA TRANSACTIONS | 2008年 / 47卷 / 03期

基金：

高等学校博士学科点专项科研基金; 中国国家自然科学基金;

关键词：

second-order neutral systems; mixed H-2/H-infinity output-feedback control; LMI; time delay;

D O I：

10.1016/j.isatra.2008.04.002

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 mixed H-2/H-infinity output-feedback control design methodology is presented in this paper for second-order neutral linear systems with time-varying state and input delays. Delay-dependent sufficient conditions for the design of a desired control are given in terms of linear matrix inequalities (LMIs). A controller, which guarantees asymptotic stability and a mixed H-2/H-infinity performance for the closed-loop system of the second-order neutral linear system, is then developed directly instead of coupling the model to a first-order neutral system. A Lyapunov-Krasovskii method underlies the LMI-based mixed H-2/H-infinity output-feedback control design using some free weighting matrices. The simulation results illustrate the effectiveness of the proposed methodology. (C) 2008, ISA. Published by Elsevier Ltd. All rights reserved.

引用

页码：311 / 324

页数：14

共 58 条

[1] 2ND-ORDER STRUCTURAL IDENTIFICATION PROCEDURE VIA STATE-SPACE-BASED SYSTEM-IDENTIFICATION [J].

ALVIN, KF ;

PARK, KC .

AIAA JOURNAL, 1994, 32 (02) :397-406

[2] TRENDS IN LARGE SPACE STRUCTURE CONTROL-THEORY - FONDEST HOPES, WILDEST DREAMS [J].

BALAS, MJ .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1982, 27 (03) :522-535

[3] ON THE DESIGN OF LARGE FLEXIBLE SPACE STRUCTURES (LFSS) [J].

BHAYA, A ;

DESOER, CA .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1985, 30 (11) :1118-1120

[4]

Boyd S., 1994, LINEAR MATRIX INEQUA, V15

[5]

Chen B, 2006, INT J INNOV COMPUT I, V2, P293

[6] Stochastic H2/H∞ control with state-dependent noise [J].

Chen, BS ;

Zhang, WH .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2004, 49 (01) :45-57

[7] LMI approach to robust delay-dependent mixed H2/H∞ controller of uncertain neutral systems with discrete and distributed time-varying delays [J].

Chen, J. D. .

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2006, 131 (03) :383-403

[8] LMI-based robust H∞ control of uncertain neutral systems with state and input delays [J].

Chen, JD .

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2005, 126 (03) :553-570

[9] Criteria for asymptotic stability of a class of neutral systems via a LMI approach [J].

Chen, JD ;

Lien, CH ;

Fan, KK ;

Chou, JH .

IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS, 2001, 148 (06) :442-447

[10] Delay-dependent robust stabilization for uncertain neutral systems with distributed delays [J].

Chen, Wu-Hua ;

Zheng, Wei Xing .

AUTOMATICA, 2007, 43 (01) :95-104

← 1 2 3 4 5 6 →