TITLE:
Stability and Adaptive Control with Sychronization of 3-D Dynamical System
AUTHORS:
Maysoon M. Aziz, Dalya M. Merie
KEYWORDS:
Stabilization, Dissipative System, Adaptive Control, Lapiynov Exponent
JOURNAL NAME:
Open Access Library Journal,
Vol.7 No.2,
February
28,
2020
ABSTRACT: A three-dimensional system is presented with unknown parameters that employs two nonlinearities terms. The basic characteristics of the system are studied. The stability is measured by Characteristic equation roots, Routh stability criteria, Hurwitz stability criteria and Lapiynov function, all show that the system unstable. Then, Chaoticity is measured by maximum Lapiynov exponent of (Lmax=2.509426) and “Kaplan-Yorke” dimension (DL=2.22349544). The system is controlled effectively and synchronized by designed adaptive controllers. Furthermore, the theoretical and graphic results of the system before and after control are compared.