Discrete adaptive control of a chaotic system under disturbances

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.