混沌系统的可靠自适应同步方法  

Reliable adaptive synchronization of chaotic systems

作　　者：黄凤娟[1] 王金平[2] 王金茹[1] 

机构地区：[1]沈阳体育学院体育信息技术系,沈阳110102 [2]辽宁科技大学数理学院,辽宁鞍山114051

出　　处：《沈阳师范大学学报（自然科学版）》2011年第3期352-355,共4页Journal of Shenyang Normal University:Natural Science Edition

基　　金：国家自然科学基金资助项目(10801023);辽宁省教育厅资助项目(2008z018)

摘　　要：研究一类混沌系统的可靠自适应同步控制问题。这类混沌系统由驱动子系统和受驱动子系统组合而成,其中驱动子系统具有未知的参数同时受驱动子系统可能受到未知故障的影响。首先构造自适应观测器来估计驱动子系统的状态,使得估计误差达到收敛并趋于零。在给定一定的结构性假设条件下,构造了一种基于可靠自适应观测器的被驱动系统。对于驱动系统中带有扰动和未知参数以及未知执行器失效故障的情况下,该系统可以与原驱动系统保持同步。通过构造自适应估计器来对故障参数进行估计,并进一步对故障进行补偿,来达到容错的目的。通过Lyapunov分析方法以及适当的选择观测器的增益参数,全系统的同步性和稳定性得到了保证。仿真算例证明了给出方法的有效性和可行性。This paper addresses the reliable adaptive synchronization problem of the drive-driven type chaotic systems via a scalar transmitted signal.The considered system model is composed of drive subsystem and driven subsystem,where the drive subsystem has unknown parameter and the driven subsystem may be affected by unknown faults.This paper firstly proposes adaptive observer to estimate the state of the drive subsystem,and guarantees the convergence of estimation error.Given certain structural conditions of chaotic systems,a reliable adaptive observer-based driven system is constructed to synchronize the drive system whose dynamics are subjected to the system＇s disturbances,some unknown parameters and loss of effectiveness in actuator.By building adaptive estimator,the unknown faults are well estimated and compensated to attain the object of fault-tolerance.By appropriately selecting the observer gains,the synchronization and stability of the overall systems can be guaranteed by the Lyapunov approach.The simulation example shows the effectiveness and applicability of the proposed fault-tolerant synchronization method.

关 键 词：混沌系统 同步 自适应观测器 可靠控制 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]