Open AccessFixed time synchronization of a class of chaotic systems based via the saturation control
Author(s) -
Jiaojiao Fu,
Runzi Luo,
Meng Huang,
Haipeng Su
Publication year - 2021
Publication title -
revista mexicana de física/revista mexicana de física
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.181
H-Index - 25
eISSN - 2683-2224
pISSN - 0035-001X
DOI - 10.31349/revmexfis.67.4.041201
Subject(s) - backstepping , settling time , control theory (sociology) , synchronization (alternating current) , synchronization of chaos , chaotic , chaotic systems , computer science , controller (irrigation) , class (philosophy) , fixed point , lyapunov stability , mathematics , control (management) , topology (electrical circuits) , adaptive control , control engineering , mathematical analysis , agronomy , artificial intelligence , biology , engineering , step response , combinatorics
In this paper, we discuss the fixed time synchronization of a class of chaotic systems based on the backstepping control with disturbances. A new and important fixed time stability theorem is presented. The upper bound estimate formulas of the settling time are also given which are different from the existing results in the literature. Based on the new fixed time stability theorem, a novel saturation controller for the fixed time synchronization a class of chaotic systems is proposed via the backstepping method. Finally, the new chaotic system is taken as an example to illustrate the applicability of the obtained theory.