分数阶超混沌系统的动力学行为分析及若干控制问题研究

项目名称： 分数阶超混沌系统的动力学行为分析及若干控制问题研究

项目编号： No.61304069

项目类型： 青年科学基金项目

立项/批准年度： 2014

项目学科： 自动化技术、计算机技术

项目作者： 赵琰

作者单位： 沈阳工程学院

项目金额： 23万元

中文摘要： 针对分数阶超混沌系统的周期轨道镇定与同步及未建模非线性动态系统的混沌反控制问题，本项目拟开展如下几方面研究：1.探究充分利用其自身动态特性而非强制抵消非线性项作用的分数阶超混沌系统不稳定周期轨道的自适应状态延迟反馈镇定方法，给出相应的Lyapunov稳定性判据；2.探究参数不确定或参数未知条件下分数阶超混沌系统不稳定周期轨道镇定方法，给出参数扰动鲁棒控制器的设计方案；3.探究驱动系统参数未知条件下异构分数阶超混沌系统的鲁棒广义同步方法，所涉及的同步模式包括考虑信道传输延迟和信道噪声干扰的滞后同步、反同步及相同步，给出相应同步误差系统鲁棒稳定的充分判据；4.探究基于广义模糊双曲正切模型的未建模非线性动态系统的混沌反控制方法，并从理论上严格证明系统中产生的混沌满足Li-Yorke定义或Devaney定义；5.搭建基于不确定分数阶超混沌系统鲁棒同步的保密通信软件仿真平台和硬件实验平台。

中文关键词： 分数阶超混沌系统；超混沌同步；混沌化；Li-Yorke混沌；广义模糊双曲正切模型

英文摘要： Considering the stabilization for the periodical orbits and the synchronization of fractional-order hyperchaotic systems as well as the anticontrol of chaos for the unmodeled nonlinear dynamical systems, the following research work will be carried out. 1. The adaptive state delay feedback control method is studied to stabilize the unstable periodical orbits of fractional-order hyperchaotic systems, which considers the dynamical characteristics of the fractional-order hyperchaotic systems sufficiently, but does not counteract the nonlinear terms forcibly. And the corresponding Lyapunov stability criteria are given simultanously.2. The stabilization problem of the unstable periodical orbits of fractional-order hyperchaotic systems with uncertain or unknown parameters is addressed. The corresponding robust controller design scheme is proposed. 3. The robust generalized synchronization approach to synchronize two non-identical fractional-order hyperchaotc systems under the assumption that the parameters of the drive system are unknown. The synchronization patterns include lag synchronization, anti-synchronization and phase synchronization, etc. Moreover, a number of uncertainties are considered, such as time delay in transmission, noise in the channel, even disorder and package loss in a network enviroment. The suf

英文关键词： fractional-order hyperchaotic system；hyperchaotic synchronization；chaotification；Li-Yorke chaos；generalized fuzzy hyperbolic model