物理学报Issue(16)：1-7,7.DOI:10.7498/aps.63.160507
基于不确定性变时滞分数阶超混沌系统的滑模自适应鲁棒的同步控制
Synchronizing a class of uncertain and variable time-delay fractional-order hyp er-chaotic systems by adaptive sliding robust mo de control
摘要
Abstract
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.关键词
分数阶超混沌系统/滑模自适应鲁棒控制/不确定性变时滞系统Key words
fractional-order hyper-chaotic systems/adaptive sliding robust mode controls/uncertain time-varying-delay systems引用本文复制引用
吴学礼,刘杰,张建华,王英..基于不确定性变时滞分数阶超混沌系统的滑模自适应鲁棒的同步控制[J].物理学报,2014,(16):1-7,7.基金项目
国家自然科学基金(批准号:61273188)和河北省自然科学基金(批准号：F2012208075)资助的课题.* Project supported by the National Natural Science Foundation of China (Grant No.61273188) and the Natural Science Foundation of Hebei Province, China (Grant No. F2012208075) （批准号:61273188）
