【摘要】 为了实现混沌同步实际应用中存在的参数失配混沌系统间的同步,在微分几何理论的基础上,仿照一般单输入单输出非线性系统的标准型描述方法研究了一种混沌同步误差系统的标准型.以混沌同步误差系统的标准型为模型,将混沌系统间的参数失配扩张成混沌同步误差系统的状态,并尽可能少地利用系统的可测信息构造高增益观测器来估计扩张系统的状态,最后用观测出的状态设计出同步控制策略来实现混沌同步.理论分析和定理证明验证了该方法的有效性.表明基于微分几何理论的混沌同步方法可以有效地实现参数失配混沌系统之间的同步.更多还原

【Abstract】 To establish chaotic synchronization between systems with mismatched parameters by the application of chaotic synchronization,an advanced form of error system for chaotic synchronization is presented derived from differential geometry theory,based on the normal form for a Single-Input Single-Output nonlinear system.Using the standard form of error system for chaotic synchronization as a model,mismatching in parameters is extended to an error system for chaotic synchronization,and a high gain state observer is designed that estimates all the states by making least use of measurable information.Finally,a synchronization control strategy was designed to establish chaotic synchronization between the systems by use of observed states.Theoretical analysis and simulation results prove the feasibility and validity of the approach,confirming that synchronization based on differential geometry theory provides effective chaotic synchronization.更多还原