State-dependent scaling characterization of stability and performance for nonlinear interconnected systems

Author

Ito, Hiroshi

Author_Institution

Dept. of Control Eng. & Sci., Kyushu Inst. of Technol., Fukuoka, Japan

Volume

4

fYear

2002

fDate

10-13 Dec. 2002

Firstpage

3937

Abstract

This paper proposes new criteria for stability and performance of nonlinear interconnected systems by smoothly generalizing a recently-developed method of the state-dependent scaling. The criteria are directly related to Lyapunov functions so that they show how to construct Lyapunov functions which establish the desired stability and performance explicitly. A set of popular Lyapunov stability criteria, the input-to-state stability, small-gain theorem and scaled H;^∞ small-gain condition (or structured singular value) are included as special cases. The results are obtained by introducing state-dependent scaling into a Lyapunov stability approach to dissipative systems.

Keywords

H^∞ control; Lyapunov methods; closed loop systems; input-output stability; interconnected systems; nonlinear systems; stability criteria; H^∞ small-gain condition; Lyapunov functions; Lyapunov stability criteria; dissipative systems; input to state stability; multiloop systems; nonlinear interconnected systems; small gain theorem; state dependent scaling; structured singular value; Control engineering; Control systems; Ear; Indium tin oxide; Interconnected systems; Lyapunov method; Nonlinear control systems; Robust control; Stability criteria; State feedback;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2002, Proceedings of the 41st IEEE Conference on

ISSN

0191-2216

Print_ISBN

0-7803-7516-5

Type

conf

DOI

10.1109/CDC.2002.1184981

Filename

1184981