H∞ Delay-Scheduled Control of Linear Systems With Time-Varying Delays

被引：14

作者：

Briat, Corentin ^{[1
]}

Sename, Olivier ^{[1
]}

Lafay, Jean-Francois ^{[2
]}

机构：

[1] ENSE3, GIPSA Lab, Dept Automat Control, F-38402 St Martin Dheres, France

[2] Inst Rech Commun & Cybernet Nantes, F-44321 Nantes, France

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2009年 / 54卷 / 09期

关键词：

Linear fractional transformation (LFT); linear parameter varying (LPV) control; robust control; time-delay systems (TDS); STABILITY;

D O I：

10.1109/TAC.2009.2026859

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper deals with H-infinity delay-scheduled control of linear systems with time-varying delays. First, a new model transformation is given which allows to provide a unified approach to stability analysis and state-feedback control synthesis for time-delay systems represented in "linear fractional transformation (LFT)" form. A new type of controller is then synthesized, where the state-feedback is scheduled by the value of the delay (delay-scheduled controllers). The results are provided in terms of linear matrix inequalities (LMIs) which are known to be efficiently solvable.

引用

页码：2255 / 2260

页数：6

共 23 条

[1] Advanced gain-scheduling techniques for uncertain systems [J].

Apkarian, P ;

Adams, RJ .

IEEE TRANSACTIONS ON CONTROL SYSTEMS TECHNOLOGY, 1998, 6 (01) :21-32

[2] A CONVEX CHARACTERIZATION OF GAIN-SCHEDULED H-INFINITY CONTROLLERS [J].

APKARIAN, P ;

GAHINET, P .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1995, 40 (05) :853-864

[3] SELF-SCHEDULED H-INFINITY CONTROL OF LINEAR PARAMETER-VARYING SYSTEMS - A DESIGN EXAMPLE [J].

APKARIAN, P ;

GAHINET, P ;

BECKER, G .

AUTOMATICA, 1995, 31 (09) :1251-1261

[4] Lyapunov equation for the stability of linear delay systems of retarded and neutral type [J].

Bliman, PA .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2002, 47 (02) :327-335

[5]

BLIMAN PA, 2006, IEEE T AUTOMAT CONTR, V51, P885

[6] Gain-scheduled H2 controller synthesis for linear parameter varying systems via parameter-dependent Lyapunov functions [J].

de Souza, CE ;

Trofino, A .

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2006, 16 (05) :243-257

[7]

GOUAISBAUT F, 2006, P 5 IFAC S ROB CONTR

[8] Stability of time-delay systems with non-small delay [J].

Gouaisbaut, Frederic ;

Peaucelle, Dimitri .

PROCEEDINGS OF THE 45TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-14, 2006, :840-845

[9]

Gu K., 2003, CONTROL ENGN SER BIR

[10]

Iwasaki T, 1998, IEEE DECIS CONTR P, P3021, DOI 10.1109/CDC.1998.757954

← 1 2 3 →