Input-to-state stability of networked control systems

被引：250

作者：

Nesic, D ^{[1
]}

Teel, AR

机构：

[1] Univ Melbourne, Dept Elect & Elect Engn, Parkville, Vic 3052, Australia

[2] Univ Calif Santa Barbara, CCEC, Dept Elect & Comp Engn, Santa Barbara, CA 93106 USA

来源：

AUTOMATICA | 2004年 / 40卷 / 12期

基金：

澳大利亚研究理事会; 美国国家科学基金会;

关键词：

disturbances; networked control systems; nonlinear; stability;

D O I：

10.1016/j.automatica.2004.07.003

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 new class of Lyapunov uniformly globally asymptotically stable (UGAS) protocols in networked control systems (NCS) is considered. It is shown that if the controller is designed without taking into account the network so that it yields input-to-state stability (ISS) with respect to external disturbances (not necessarily with respect to the error that will come from the network implementation), then the same controller will achieve semi-global practical ISS for the NCS when implemented via the network with a Lyapunov UGAS protocol. Moreover, the ISS gain is preserved. The adjustable parameter with respect to which semi-global practical ISS is achieved is the maximal allowable transfer interval (MATI) between transmission times. (C) 2004 Elsevier Ltd. All rights reserved.

引用

页码：2121 / 2128

页数：8

共 18 条

[1] A characterization of integral input-to-state stability [J].

Angeli, D ;

Sontag, ED ;

Wang, Y .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2000, 45 (06) :1082-1097

[2] SPATIAL DISCRETIZATION OF MAPPINGS [J].

DIAMOND, P ;

KLOEDEN, P .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1993, 25 (06) :85-94

[3] Asynchronous hybrid systems with jumps - analysis and synthesis methods [J].

Dullerud, GE ;

Lall, S .

SYSTEMS & CONTROL LETTERS, 1999, 37 (02) :61-69

[4] A new approach for analysis and synthesis of time-varying systems [J].

Dullerud, GE ;

Lall, S .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1999, 44 (08) :1486-1497

[5]

Hassibi A., 1999, Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304), P1345, DOI 10.1109/CDC.1999.830133

[6] SMALL-GAIN THEOREM FOR ISS SYSTEMS AND APPLICATIONS [J].

JIANG, ZP ;

TEEL, AR ;

PRALY, L .

MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS, 1994, 7 (02) :95-120

[7]

KELLETT CM, 2003, IEEE C DEC CONTR 200

[8]

Lakshmikantham V., 1969, DIFFERENTIAL INTEGRA, V1

[9]

LORIA A, 2002, P 40 IEEE C DEC CONT

[10] Matrosov theorem for parameterized families of discrete-time systems [J].

Nesic, D ;

Teel, AR .

AUTOMATICA, 2004, 40 (06) :1025-1034

← 1 2 →