基于非线性跟踪的混沌反控制(英文)

Chaos Synthesis via Nonlinear Tracking Control

针对连续仿射非线性系统,提出一种基于非线性跟踪的混沌反控制统一方法。设计了非线性跟踪控制规律,使非线性非混沌系统跟踪混沌输入信号,从而使非混沌系统产生与混沌输入信号拓扑共轭的混沌现象。仿真结果表明,该方法能够在线性可控和相对阶大于 3 的仿射非线性系统中产生混沌现象。

A unified chaos synthesis method based on tracking control is proposed for n-dimensional continuous time affined systems. A tracking control law is designed for a nonchaotic system to track chaotic reference input such that the topologically conjugate chaos can be synthesized from the controlled nonchaotic system. It is shown that this unified method can synthesize chaos from a linear controllable system and a nonlinear system with relative degree greater than three.