Open Access Library Journal
Volume 7, Issue 2 (February 2020)
ISSN Print: 2333-9705 ISSN Online: 2333-9721
Google-based Impact Factor: 0.73 Citations
Stability and Adaptive Control with Sychronization of 3-D Dynamical System ()
Affiliation(s)
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.
KEYWORDS
Share and Cite:
Cited by
Copyright © 2024 by authors and Scientific Research Publishing Inc.
This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.