Chaotification of nonlinear discrete systems via immersion and invariance
Chaotification of nonlinear discrete systems via immersion and invariance
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DOI：
10.1007/s11071-010-9905-1
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发表时间：
2011-09
影响因子：
5.6
通讯作者：
Qiyue Xie;Zhengzhi Han;Wei Zhang-;Hua Wang
中科院分区：
文献类型：
--
作者：
Qiyue Xie;Zhengzhi Han;Wei Zhang-;Hua Wang
本文研究非线性离散系统的混沌化问题。提出了一种基于系统浸入和流形不变性（I&I）的非线性离散系统混沌化方法。它的基本思想是将一个具有混沌特性且维数可能较低的理想系统浸入到被控对象系统中，然后控制被控对象系统的轨迹收敛到理想系统所浸入的不变流形上。对于一类可线性化系统，给出了浸入和控制律，使得这些系统可以通过I&I设计实现混沌化。一个说明性的例子与仿真来验证所提出的混沌方案。
This paper is concerned with the chaotification of nonlinear discrete systems. A novel method based on (system) immersion and (manifold) invariance (I&I) is introduced to chaotify nonlinear discrete systems. Its basic idea is to immerse an ideal system which holds chaotic properties and may be a lower dimension into the plant system, and then control trajectories of the plant system to converge toward the invariant manifold where the ideal system is immersed. For a class of linearizable systems, we present the immersion and the control law such that these systems can be chaotified through I&I design. An illustrative example with simulation is presented to validate the proposed chaotification scheme.