具有纠缠项的分数阶五维混沌系统滑模同步的两种方法

doi:10.6040/j.issn.1672-3961.0.2018.139

摘要/Abstract

摘要：

根据滑模和积分滑模两种方法研究具有3个纠缠项的分数阶五维混沌系统的滑模同步,给出滑模面和控制器的两种设计方法,得到纠缠混沌系统取得滑模同步的2个充分条件。研究表明:一定条件下,分数阶五维纠缠混沌系统取得滑模同步。通过数值仿真,验证了控制器的正确定性和有效性。

关键词: 分数阶, 纠缠混沌, 滑模, 积分滑模, 同步

Abstract:

Sliding mode synchronization of five-dimensional fractional-order chaotic systems with three entanglement iterms was studied based on classical and integral sliding mode methods. Sliding mode surfaces and controllers were designed in two methods and two sufficient conditions were arrived for entanglement chaotic systems to acquire sliding mode synchronization. The research conclusion illustrated that five-dimensional fractional-order entanglement chaotic systems were sliding mode synchronization under certain conditions. Numerical simulation showed the correctness and the effectiveness of the designed controller.

Key words: fractional-order, entanglement chaos, sliding mode, integral sliding mode, synchronization

中图分类号:

O482.4

王东晓. 具有纠缠项的分数阶五维混沌系统滑模同步的两种方法[J]. 山东大学学报 (工学版), 2018, 48(5): 85-90.

Dongxiao WANG. Two methods for sliding mode synchronization of five-dimensional fractional-order chaotic systems with entanglement iterms[J]. Journal of Shandong University(Engineering Science), 2018, 48(5): 85-90.

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