Stability analysis of systems with nonlinearities

Author

Jönsson, Ulf ; Laiou, Maria-Christina

Author_Institution

Dept. of Autom. Control, Lund Inst. of Technol., Sweden

Volume

2

fYear

1996

fDate

11-13 Dec 1996

Firstpage

2145

Abstract

Stability analysis of systems with nonlinearities is considered. Multipliers that describe the nonlinearities are used for the analysis. It is in particular shown how Popov multipliers can be combined with multipliers for slope restricted nonlinearities. The stability analysis can be approximated by a feasibility test for linear matrix inequalities. This requires that we choose a finite dimensional subspace for the set of multipliers. The choice of suitable subspace is discussed and an example is given where a duality argument gives a bound for the possible performance of the multiplier for slope restricted nonlinearities

Keywords

Nyquist diagrams; Popov criterion; control nonlinearities; control system analysis; duality (mathematics); matrix algebra; stability; Popov multipliers; duality argument; feasibility test; finite dimensional subspace; integral quadratic constraints; linear matrix inequalities; slope restricted nonlinearities; stability analysis; Councils; Educational institutions; Feedback; Fourier transforms; Linear matrix inequalities; Stability analysis; Stability criteria; Testing; Time invariant systems; Uncertainty;

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.1996.572936

Filename

572936