一个新的超大范围混沌系统及其自适应滑模控制

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摘要提出了一个超大范围的混沌系统，其中参数的取值为[0，107]。理论分析了系统的动力学特性，考察了系统的Lyapunov指数谱、分岔图以及Poincare映射。设计了系统的硬件电路，并用Multisim软件进行了电路仿真，构建了一个系统在未知参数条件下全局稳定的自适应控制器和一个对给定信号追踪与未知参数辨识的自适应滑模控制器。仿真结果表明所设计控制器是有效的。

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	徐昌彪1
	钟德2
	夏诚2
	黎周1

关键词 ：混沌系统, 超大范围, 自适应控制, 滑模控制

Abstract：A new chaotic system with parameter in a super-large range of ［0，107］ was proposed.The system’s dynamic characteristics were theoretically analyzed, and its Lyapunov exponent spectrum, bifurcation diagram and Poincare mapping were investigated.The system’s hardware circuit was designed and the circuit simulation was done with the software Multisim.An adaptive controller with global stability was constructed under the condition of unknown parameters, and an adaptive sliding mode controller was built to realize tracking control of a given signal and identification of unknown parameters.Simulation results showed that the designed controllers are effective.

Key words： chaotic system super-wide range adaptive control sliding mode control

收稿日期: 2017-07-07 出版日期: 2019-01-28

引用本文:

徐昌彪1，钟德2，夏诚2，黎周1. 一个新的超大范围混沌系统及其自适应滑模控制[J]. 振动与冲击, 2019, 38(3): 125-130.
XU Changbiao1, ZHONG De2, XIA Cheng2, LI Zhou1. A new chaotic system with parameter b in a super-large range and its adaptive sliding mode control. JOURNAL OF VIBRATION AND SHOCK, 2019, 38(3): 125-130.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2019/V38/I3/125

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