Open AccessProjective synchronization for 4D hyperchaotic system based on adaptive nonlinear control strategy
Author(s) -
Zaidoon Sh. Al-Talib,
Saad Fawzi Al-Azzawi
Publication year - 2020
Publication title -
indonesian journal of electrical engineering and computer science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.241
H-Index - 17
eISSN - 2502-4760
pISSN - 2502-4752
DOI - 10.11591/ijeecs.v19.i2.pp715-722
Subject(s) - control theory (sociology) , nonlinear system , lyapunov stability , robustness (evolution) , synchronization (alternating current) , computer science , controller (irrigation) , lyapunov function , adaptive control , strict feedback form , control engineering , mathematics , control (management) , topology (electrical circuits) , engineering , artificial intelligence , backstepping , biochemistry , chemistry , physics , quantum mechanics , combinatorics , biology , agronomy , gene
The main purpose of the paper is to projective synchronous chaotic oscillation in the real four-dimensional hyperchaotic model via designing many adaptive nonlinear controllers. Firstly, in view that there are many strategies in the design process of existing controllers, a nonlinear control strategy is considered as one of the important powerful tools for controlling the dynamical systems. The prominent advantage of the nonlinear controller lies in that it deals with known and unknown parameters. Then, the projective synchronize behavior of a four-dimensional hyperchaotic system is analyzed by using the Lyapunov stability theory and positive definite matrix, and the nonlinear control strategy is adopted to synchronize the hyperchaotic system. Finally, the effectiveness and robustness of the designed adaptive nonlinear controller are verified by simulation.