Global uniform asymptotic stability of cascade time-varying nonlinear systems: case study

Author

Panteley, Elena

Author_Institution

Inst. of Problems of Mech. Eng., Acad. of Sci., St. Petersburg, Russia

Volume

1

fYear

1996

fDate

11-13 Dec 1996

Firstpage

590

Abstract

Concerns the global stabilization of a class of cascaded nonlinear systems. If driven subsystem (1) has a globally stable equilibrium point at x=0 when y≡0, then the problem reduces to design an output feedback control law for the driving subsystem (2) without destabilizing (1). Previous stability results are reviewed, and the author considers a wider class of time-varying nonlinear cascaded systems and shows that the system is globally uniformly asymptotically stable (GUAS) if the zero dynamics of the first subsystem is GUAS and if the second subsystem is globally uniformly exponentially stable. The basic tools used for stability analysis are classical techniques of Lyapunov direct method

Keywords

Lyapunov methods; asymptotic stability; cascade control; nonlinear control systems; stability criteria; time-varying systems; Lyapunov direct method; cascade time-varying nonlinear systems; global uniform asymptotic stability; global uniform exponential stability; globally stable equilibrium point; output feedback control law design; zero dynamics; Asymptotic stability; Computer aided software engineering; Differential equations; Ear; Interconnected systems; Linear systems; Nonlinear dynamical systems; Nonlinear systems; Output feedback; Time varying systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1996., Proceedings of the 35th IEEE Conference on

Conference_Location

Kobe

ISSN

0191-2216

Print_ISBN

0-7803-3590-2

Type

conf

DOI

10.1109/CDC.1996.574387

Filename

574387