Title :
Controlling chaos in Duffing system using impulsive parametric perturbations
Author :
Triana, Alexander Jimenez ; Tang, Wallace Kit-Sang ; Saad, Maarouf ; Gauthier, Alain
Author_Institution :
Dept. of Control Eng., Univ. Distrital Francisco Jose de Caldas, Bogota, Colombia
Abstract :
A new approach for chaos control using periodic impulsive parametric perturbations is suggested and applied to suppress chaos in Uuffing system. Using the Melnikov´s method, it is proved that in the neighborhood of a homoclinic orbit, chaos can he suppressed perturbing impulsively a parameter of the system. A sufficient condition for chaos suppression is derived, and the amplitude and width of the impulsive perturbation applied is numerically obtained.
Keywords :
chaos; nonlinear control systems; perturbation techniques; Duffing system; Melnikov method; chaos control; homoclinic orbit; periodic impulsive parametric perturbation; Chaos; Control engineering; Control systems; Equations; Frequency; Oscillators;
Conference_Titel :
Circuits and Systems, 2009. ISCAS 2009. IEEE International Symposium on
Conference_Location :
Taipei
Print_ISBN :
978-1-4244-3827-3
Electronic_ISBN :
978-1-4244-3828-0
DOI :
10.1109/ISCAS.2009.5118340
