On the Robust Stability of Unforced Nonlinear Systems

Author

Zahedzadeh, Vahid ; Marquez, Horacio J. ; Chen, Tongwen

Author_Institution

Dept. of Electr. & Comput. Eng., Alberta Universit, Edmonton, Alta.

fYear

2006

fDate

13-15 Dec. 2006

Firstpage

343

Lastpage

348

Abstract

A new framework is developed to study the robust stability of nonlinear systems based on operator-theoretic methods. First new representation called zeta_A for nonlinear systems is presented. This new representation turns the nonzero initial state stability problem into input-output stability problem for nonlinear systems. In this representation, uncertainty is described as a set of memoryless nonlinearities. Based on this representation, sufficient condition on the robust global stability of nonlinear systems is derived. Using a new definition for local region of local stability, the derived condition for global stability is extended into local robust stability

Keywords

control nonlinearities; input-output stability; nonlinear control systems; robust control; uncertain systems; input-output stability; operator theory; robust global stability; state stability; unforced nonlinear systems; zeta_A representation; Control systems; Feedback; Linear systems; Lyapunov method; Nonlinear control systems; Nonlinear systems; Robust stability; Sufficient conditions; USA Councils; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2006 45th IEEE Conference on

Conference_Location

San Diego, CA

Print_ISBN

1-4244-0171-2

Type

conf

DOI

10.1109/CDC.2006.377066

Filename

4177680