A CAD tool for limit cycle prediction in nonlinear systems

Author

Paoletti, Francesco ; Landi, Alberto ; Innocenti, Mario

Author_Institution

Marconi Ind., Genova, Italy

Volume

39

Issue

4

fYear

1996

fDate

11/1/1996 12:00:00 AM

Firstpage

505

Lastpage

511

Abstract

The analysis of nonlinear control systems can be greatly improved by the use of computer software. In this paper, an interactive, user-friendly, graphically oriented toolbox based on Matlab is presented. Nonlinear systems whose nonlinearity is given by a relay are considered, and stability of free and forced oscillations is analyzed using the methods by Hamel, Tsypkin and Paquet. Nonlinear control systems with polynomial nonlinearity are also treated and analyzed using Hopf´s theorem in the frequency domain. The structure of the code is described and some illustrative examples are presented to validate the software capabilities

Keywords

computer aided instruction; control engineering education; control system CAD; control system analysis computing; frequency-domain analysis; limit cycles; nonlinear control systems; stability; teaching; CAD tool; CAI; Hopf´s theorem; Matlab; computer software; control education; control simulation; forced oscillations; free oscillations; frequency domain; limit cycle prediction; nonlinear control system design; polynomial nonlinearity; stability analysis; user-friendly; Automatic control; Control systems; Control theory; Limit-cycles; Linear systems; Nonlinear systems; Packaging; Relays; Software; Stability analysis;

fLanguage

English

Journal_Title

Education, IEEE Transactions on

Publisher

ieee

ISSN

0018-9359

Type

jour

DOI

10.1109/13.544804

Filename

544804