Open AccessSynchronizing a class of uncertain and variable time-delay fractional-order hyper-chaotic systems by adaptive sliding robust mode control
Author(s) -
Xueli Wu,
Jie Liu,
Jianhua Zhang,
Ying Wang
Publication year - 2014
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.63.160507
Subject(s) - control theory (sociology) , synchronizing , computer science , controller (irrigation) , lyapunov stability , adaptive control , synchronization (alternating current) , noise (video) , sliding mode control , synchronization of chaos , robust control , control system , control (management) , nonlinear system , transmission (telecommunications) , channel (broadcasting) , physics , engineering , artificial intelligence , quantum mechanics , telecommunications , computer network , electrical engineering , agronomy , image (mathematics) , biology
In view of a class of synchronization problems about uncertain and variable time-delay systems, this paper puts forward a method of adaptive sliding robust control. Based on the Lyapunov stability theory and adaptive sliding mode control methods, the adaptive sliding robust controllers and the parameter adaptive rate are designed. A single controller designed by the synchronous control method is applicable to the synchronizing of a class of fractional-order hyper-chaotic systems, and it has a great ability to resist noise-perturbed. What is more, it can also well control the time-varying time-delay systems. So the controller is of highly practical value. Furthermore, by introducing a certain amount of compensation into the system, the influences of the uncertainty and the noise-disturbance can be eliminated, thus the synchronization of the uncertainty fractional-order hyper-chaotic system is realized. In addition, the control of the synchronous errors of the systems can be stable in arbitrarily small domain. Finally, time-varying and time-delay fractional-order Chen's hyper-chaotic systems with the external noisy disturbances and uncertain parameters are numerically simulated, and the effectiveness of the proposed control method is verified.