基于微分控制器的分数阶Lorenz-Stenflo系统混沌控制
Chaotic control of fractional-order Lorenz-Stenflo system based on differentiator
崔晋伟 1赵小山1
作者信息
- 1. 天津职业技术师范大学理学院,天津 300222
- 折叠
摘要
针对含有不确定项和随机噪声的分数阶Lorenz-Stenflo混沌系统控制问题,提出了一种结合神经网络和鲁棒微分控制器技术的滑模控制方法.为了应对系统中的不确定性和随机噪声,采用神经网络对不确定项进行逼近处理,采用鲁棒微分控制器消除随机噪声的影响.通过滑模控制策略,确保系统达到收敛状态.使用李雅普诺夫稳定性定理验证了系统的稳定性.Matlab数值仿真结果证实了该方案的可行性和显著效果.
Abstract
A sliding mode control method combining neural network and robust differential controller techniques is proposed in response to the control problem of fractional order Lorenz-Stenflo chaotic system containing uncertain terms and ran-dom noise.In order to cope with the uncertainty and random noise in the system,a neural network method is used to ap-proximate the uncertainty terms,and a robust differentiator is used to eliminate the effect of random noise.The sliding mode control strategy is implemented to ensure that the system reaches a converged state.The stability of the system is verified us-ing the Lyapunov stability theorem.Matlab numerical simulation results confirm the feasibility and significant effect of the scheme.
关键词
混沌控制/神经网络控制/鲁棒微分控制器/滑模控制/分数阶Key words
chaotic control/neural network control/robust differentiator/sliding mode control/fractional-order引用本文复制引用
基金项目
国家自然科学基金资助项目(12301428)
出版年
2024
NETL
NSTL
万方数据