Robust control of delay systems: a sliding mode control design via LMI

被引：153

作者：

Gouaisbaut, F ^{[1
]}

Dambrine, M ^{[1
]}

Richard, JP ^{[1
]}

机构：

[1] Ecole Cent Lille, CNRS, UPRESA 8021, LAIL, F-59651 Villeneuve Dascq, France

来源：

SYSTEMS & CONTROL LETTERS | 2002年 / 46卷 / 04期

关键词：

time-delay system; robust control; sliding mode control; LMI;

D O I：

10.1016/S0167-6911(01)00199-2

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 considers the sliding mode control of uncertain systems with single or multiple, constant or time-varying state-delays, submitted to additive perturbations. The sliding surface is designed so to maximize the calculable set of admissible delays. The conditions for the existence of the sliding regime are studied by using Lyapunov-Krasovskii functionals and Lyapunov-Razumikhin functions. LMIs are used for the optimization procedure. Two examples illustrate the proposed method, (C) 2002 Elsevier Science B.V. All rights reserved.

引用

页码：219 / 230

页数：12

共 36 条

[1]

AGGOUNE W, 1999, THESIS U METZ

[2]

Bonnet C, 2000, INT J ROBUST NONLIN, V10, P579, DOI 10.1002/1099-1239(200006)10:7<579::AID-RNC494>3.0.CO

[3]

2-L

[4]

BONNET C, 1998, P 8 IFAC C LARG SCAL

[5]

Boyd S., 1994, LINEAR MATRIX INEQUA, DOI https://doi.org/10.1109/jproc.1998.735454

[6] A new method for variable structure control system design: A linear matrix inequality approach [J].

Choi, HH .

AUTOMATICA, 1997, 33 (11) :2089-2092

[7]

CHOI HH, 1999, P EUR CONTR C ECC 99

[8] THE DISTURBANCE DECOUPLING PROBLEM FOR SYSTEMS OVER A RING [J].

CONTE, G ;

PERDON, AM .

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1995, 33 (03) :750-764

[9]

CONTE G, 1998, P IFAC WORKSH LIN TI, P223

[10] Feedback control of time-delay systems with bounded control and state [J].

Dambrine, M ;

Richard, JP ;

Borne, P .

MATHEMATICAL PROBLEMS IN ENGINEERING, 1995, 1 (01) :77-87

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