A nonlinear philosophy for nonlinear systems

Author

Fradkov, Alexander

Author_Institution

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

Volume

5

fYear

2000

fDate

2000

Firstpage

4397

Abstract

A framework for system analysis and design is described based on nonlinear system models and nonperiodic signals generated by nonlinear systems. The proposed approach to analysis of nonlinear systems is based on an excitability index-a nonlinear counterpart of the magnitude frequency response of linear systems. It can be used for stability analysis of fully nonlinear cascade systems similarly to absolute stability analysis of Lur´e systems. Speed-gradient algorithms of creating feedback resonance in nonlinear multi-DOF oscillators are described. For strictly dissipative systems bounds of energy and excitability change by feedback are established

Keywords

absolute stability; control system analysis; control system synthesis; feedback; frequency response; nonlinear control systems; excitability index; feedback resonance; fully nonlinear cascade systems; nonlinear multi-DOF oscillators; nonlinear philosophy; nonperiodic signals; speed-gradient algorithms; stability analysis; strictly dissipative systems; system analysis; system design; Control theory; Feedback; Frequency response; Linear systems; Mechanical engineering; Nonlinear systems; Robust stability; Stability analysis; Stability criteria; System analysis and design;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2000. Proceedings of the 39th IEEE Conference on

Conference_Location

Sydney, NSW

ISSN

0191-2216

Print_ISBN

0-7803-6638-7

Type

conf

DOI

10.1109/CDC.2001.914598

Filename

914598