Discrete adaptive control of a chaotic system under disturbances

Author

Guzenko, Peter Yu

Author_Institution

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

Volume

3

fYear

2000

fDate

2000

Firstpage

435

Abstract

The problem of adaptive output feedback control aimed at stabilization of a (periodic or chaotic) goal trajectory is considered. Algorithms of adaptive control based on linearization of controlled Poincare map and method of goal inequalities posed first by Fradkov et al. (1997) are briefly reviewed. Those algorithms are applied to stabilization of the limit cycle of forced brusselator model in the chaotic mode when the parameters of controlled system are not known exactly and the input values of control algorithm contain the random error of measurement. Some results of computer simulation are also included

Keywords

Poincare mapping; adaptive control; chaos; discrete systems; feedback; nonlinear control systems; adaptive output feedback control; chaotic mode; chaotic system; controlled Poincare map; discrete adaptive control; forced brusselator model; goal inequalities; limit cycle; random error; stabilization; Adaptive control; Chaos; Computer errors; Control system synthesis; Error correction; Force control; Force measurement; Limit-cycles; Output feedback; Programmable control;

fLanguage

English

Publisher

ieee

Conference_Titel

Control of Oscillations and Chaos, 2000. Proceedings. 2000 2nd International Conference

Conference_Location

St. Petersburg

Print_ISBN

0-7803-6434-1

Type

conf

DOI

10.1109/COC.2000.874280

Filename

874280