摘要
针对分数阶超混沌系统,采用分数阶非线性系统的Lyapunov稳定性理论,提出了一种自适应同步控制方法,同时设计模拟电路实现了自适应同步控制;基于以往分数阶的局限性,给出了0.90~0.99阶系统电路,并采用Multisim仿真实现了该电路.电路仿真结果与理论结果一致,表明了控制器硬件的可实现性.
An adaptive synchronization control method is proposed for fractional hyperchaotic systems based on Lyapunov stability theory of fractional nonlinear systems.At the same time,the control system of fractional system is designed by analog circuit.Based on the limitation of previous fractional order,the 0.90—0.99 order system circuit is given,and the circuit is implemented by Multisim simulation.The circuit simulation results are consistent with the theoretical results,which indicate the feasibility of the controller hardware.
作者
雷腾飞
贺金满
张艳萍
付海燕
LEI Tengfei;HE Jinman;ZHANG Yanping;FU Haiyan(School of Electrical and Mechanical Engineering,Qilu Institute of Technology,Jinan 250200,China;College of Aerospace Engineering,Nanjing University of Aeronautics and Astronautics,Nanjing 210016,China)
出处
《徐州工程学院学报(自然科学版)》
CAS
2020年第1期53-59,共7页
Journal of Xuzhou Institute of Technology(Natural Sciences Edition)
基金
国家自然科学基金项目(61371163)
山东省自然科学基金项目(ZR2017PA008)
山东省重点研发计划项目(2019GGX104092)
山东省重大科技创新工程项目(2019JZZY010111)。