Title :
Adaptive control of oscillatory and chaotic systems based on linearization of Poincaré map
Author :
Fradkov, A.L. ; Guzenko, P.Yu.
Author_Institution :
Inst. for Problems of Mech. Eng., St. Petersburg, Russia
Abstract :
The new method of output feedback adaptive control of oscillatory processes is suggested based on goal inequalities and input-output form of linearized controlled Poincaré map. Conditions of achieving the goal (tracking) with given accuracy are established. The method is applied to modifying behavior of model systems: brusselator in periodic self-oscillatory mode and brusselator in chaotic forced oscillatory mode.
Keywords :
Poincare mapping; adaptive control; control system synthesis; feedback; linearisation techniques; periodic control; Poincaré map linearization; adaptive control; brusselator; chaotic forced oscillatory mode; chaotic system; linearized controlled Poincaré map; oscillatory system; output feedback control; periodic self-oscillatory mode; Adaptation models; Adaptive control; Algorithm design and analysis; Chaos; Mathematical model; Oscillators; Trajectory; adaptive control; chaos; oscillations;
Conference_Titel :
Control Conference (ECC), 1997 European
Conference_Location :
Brussels
Print_ISBN :
978-3-9524269-0-6