A unified approach for stability analysis of general dynamic systems

Author

Feng, Chun-Bo ; Fei, Shumin

Author_Institution

Res. Inst. of Autom., Southeast Univ., Nanjing, China

Volume

2

fYear

1997

fDate

10-12 Dec 1997

Firstpage

1722

Abstract

It is shown that an integral with negative feedback from its output terminal through a strictly passive system is still strictly passive. By using successive negative feedback around integrals, the conditions of strict passivity and a unified approach for constructing strictly passive systems are obtained for time-varying nonlinear systems of different orders. A new concept of “dissipation factor” is defined in this paper. The stability of a class of time-varying nonlinear systems is examined by using this passivity analysis

Keywords

control system analysis; feedback; nonlinear control systems; stability; time-varying systems; dissipation factor; general dynamic systems; negative feedback; passivity analysis; stability; stability analysis; strict passivity conditions; strictly passive system; successive negative feedback; time-varying nonlinear systems; unified approach; Automation; Circuit stability; Ear; Gain measurement; Linear systems; Lyapunov method; Negative feedback; Nonlinear systems; Stability analysis; Time varying systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1997., Proceedings of the 36th IEEE Conference on

Conference_Location

San Diego, CA

ISSN

0191-2216

Print_ISBN

0-7803-4187-2

Type

conf

DOI

10.1109/CDC.1997.657802

Filename

657802