Title :
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
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;
Conference_Titel :
Control of Oscillations and Chaos, 2000. Proceedings. 2000 2nd International Conference
Conference_Location :
St. Petersburg
Print_ISBN :
0-7803-6434-1
DOI :
10.1109/COC.2000.874280