Explicit solutions to state-dependent scaling problems for interconnected iISS and ISS nonlinear systems

被引：5

作者：

Ito, H ^{[1
]}

机构：

[1] Kyushu Inst Technol, Dept Syst Innovat & Informat, Iizuka, Fukuoka 8208502, Japan

来源：

ACC: PROCEEDINGS OF THE 2005 AMERICAN CONTROL CONFERENCE, VOLS 1-7 | 2005年

关键词：

D O I：

10.1109/ACC.2005.1470625

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 addresses the problem of establishing global stability properties of nonlinear interconnected systems. The state-dependent scaling problem is presented as a unified mathematical formulation whose solutions explicitly provide Lyapunov functions proving stability properties of feedback and cascade systems. The framework covers diverse nonlinearities; represented by general supply rates. In order to let the state-dependent approach have real usefulness beyond formal applicability, this paper derives explicit formulas for solutions to statedependent scaling problems for integral input-to-state stable(iISS) systems and input-to-state stable(ISS) systems.

引用

页码：4131 / 4136

页数：6

共 17 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] STABILITY RESULTS FOR NONLINEAR FEEDBACK-SYSTEMS [J].

HILL, DJ ;

MOYLAN, PJ .

AUTOMATICA, 1977, 13 (04) :377-382

[3]

Isidori A., 1999, Nonlinear control systems II, VII

[4] Nonlinear generalization of scaled H∞ control:: global robustification against nonlinearly bounded uncertainties [J].

Ito, H .

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2004, 14 (18) :1433-1467

[5]

Ito H, 2004, P AMER CONTR CONF, P1055

[6]

Ito H, 2002, IEEE DECIS CONTR P, P3937

[7]

Ito H, 2002, IEEE DECIS CONTR P, P2286, DOI 10.1109/CDC.2002.1184873

[8] State-dependent scaling design for a unified approach to robust backstepping [J].

Ito, H ;

Freeman, RA .

AUTOMATICA, 2001, 37 (06) :843-855

[9] Robust control for nonlinear systems with structured L(2)-gain bounded uncertainty [J].

Ito, H .

SYSTEMS & CONTROL LETTERS, 1996, 28 (03) :167-172

[10] A Lyapunov formulation of the nonlinear small-gain theorem for interconnected ISS systems [J].

Jiang, ZP ;

Mareels, IMY ;

Wang, Y .

AUTOMATICA, 1996, 32 (08) :1211-1215

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