摘要
研究了具有不同阶数的受扰不确定混沌系统的降阶修正函数投影同步问题.基于Lyapunov稳定性理论和自适应控制方法,设计了统一的非线性状态反馈控制器和参数更新规则,使得混沌响应系统按照相应的函数尺度因子矩阵和混沌驱动系统的部分状态变量实现同步.方法考虑了实际系统中的模型不确定性和外界扰动,具有较强的实用性和鲁棒性.数值仿真证明了控制方法的有效性.
The reduced-order modified function projective synchronization of uncertain chaotic systems with different orders is discussed in this paper.Based on Lyapunov stability theory and adaptive control method,the nonlinear state feedback controller and adaptive update laws are designed,by which the chaotic response system can synchronize to part states of the chaotic drive system by a desired scaling function matrix.The proposed controller has strong practicality and robustness since it is beyond the impact of model uncertainty and external perturbation.Numerical simulations demonstrate the effectiveness of the proposed controller.
出处
《数学的实践与认识》
CSCD
北大核心
2014年第2期216-222,共7页
Mathematics in Practice and Theory
关键词
混沌系统
降阶修正函数投影同步
自适应
不确定
外界扰动
chaotic system
reduced-order modified function projective synchronization
adaptive
uncertainty
disturbance
