一类新的时滞混沌系统及其最小能量引导控制  

A new type of time-delay chaotic systems and its minimal-energy guided control

作　　者：涂建军[1] 何汉林[1] 

机构地区：[1]海军工程大学理学院,湖北武汉430033

出　　处：《控制理论与应用》2010年第10期1383-1387,共5页Control Theory & Applications

基　　金：国家自然科学基金资助项目(60974136)

摘　　要：提出了一类时滞混沌系统.从最大Lyapunov指数、相图和分叉图3个方面,揭示这类系统随其参数变化所产生的丰富动力学行为,并发现了大幅度拟周期(弱混沌)振荡现象,分析了这种振荡在工业中的危害以及可能的用途.提出了异时滞的高维混沌系统间的同步控制问题,并提出一种基于变增益反馈的最小能量控制法,用线性反馈控制器实现了快速的引导控制.因为反馈增益由一个小量随着同步误差的减小逐渐增大,本文提出的控制器可以有效减小控制所需的能耗.A class of time-delay chaotic system is proposed. By altering its parameters, we can observe a variety of dynamical behaviors through its largest Lyapunov exponents, phase diagrams and bifurcation diagrams, and find a kind of violent quasi-periodic （weak chaotic） oscillatory motion. Its hazards and possible applications are analyzed. The problem of synchronization between two higher-order chaotic systems with unmatched time-delays is put forward. A varying gain feedback-based minimal-energy control method is presented to design a linear feedback controller, and a rapid guided control is realized. Because the feedback gain starts from a small value and gradually increases with the reduction of synchronization error, the energy consumption for control can be effectively reduced.

关 键 词：混沌系统 时滞系统 异时滞 同步 

分 类 号：O415.5[理学—理论物理] TP273[理学—物理]