Stabilization of arbitrary switched linear systems with unknown time-varying delays

被引：232

作者：

Hetel, L. ^{[1
]}

Daafouz, J. ^{[1
]}

Iung, C. ^{[1
]}

机构：

[1] Nancy Univ, ENSEM, CNRS,UMR 7039, Inst Natl Polytech Lorraine,CRAN, F-54516 Vandoeuvre Les Nancy, France

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2006年 / 51卷 / 10期

关键词：

linear matrix inequality (LMI); polytopic uncertainties; robustness; switched linear systems; time-varying feedback delays;

D O I：

10.1109/TAC.2006.883030

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We consider continuous time switched systems that are stabilized via a computer. Several factors (sampling, computer computation, communications through a network, etc.) introduce model uncertainties produced by unknown varying feedback delays. These uncertainties can lead to instability when they are not taken into account. Our goal is to construct a switched digital control for continuous time switched systems that is robust to the varying feedback delay problem. The main contribution of this note is to show that the control synthesis problem in the context of unknown time varying delays can be expressed as a problem of stabilizability for uncertain systems with polytopic uncertainties.

引用

页码：1668 / 1674

页数：7

共 24 条

[1]

Årzén KE, 2000, IEEE DECIS CONTR P, P4865, DOI 10.1109/CDC.2001.914701

[2]

Astrom K., 1997, COMPUTER CONTROLLED

[3]

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

[4] Multiple Lyapunov functions and other analysis tools for switched and hybrid systems [J].

Branicky, MS .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1998, 43 (04) :475-482

[5]

BUTTAZZO G, 2002, P 7 INT S FORM TECHN, P37

[6] Parameter dependent Lyapunov functions for discrete time systems with time varying parametric uncertainties [J].

Daafouz, J ;

Bernussou, J .

SYSTEMS & CONTROL LETTERS, 2001, 43 (05) :355-359

[7] Stability analysis and control synthesis for switched systems: A switched Lyapunov function approach [J].

Daafouz, J ;

Riedinger, P ;

Iung, C .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2002, 47 (11) :1883-1887

[8]

Daafouz J., 2003, INT J HYBRID SYSTEMS, V3, P263

[9] LYAPUNOV FUNCTIONS FOR UNCERTAIN SYSTEMS WITH APPLICATIONS TO THE STABILITY OF TIME-VARYING SYSTEMS [J].

DASGUPTA, S ;

CHOCKALINGAM, G ;

ANDERSON, BDO ;

FU, MY .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1994, 41 (02) :93-106

[10] Analysis and synthesis of robust control systems via parameter-dependent Lyapunov functions [J].

Feron, E ;

Apkarian, P ;

Gahinet, P .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1996, 41 (07) :1041-1046

← 1 2 3 →