摘要
在对非线性动力学系统的混沈行为进行自适应控制时需要适当选取控制强度,要将原系统线性化,线性化过程中要引出一线性方程组的系数矩阵—一控制矩阵。文中证明当控制强度取自与该矩阵的复数本征值相对应的数值范围时,可得到高的控制精度和较快的控制速度;给出了以上结论的数学证明和对Henon映射的控制过程实例的数值上的分析。
This paper proves that the adaptive control method which possesses high contfol precision and good efficiency when the control stiffness is corresponding to complex eigenvalue of the matrix introduced by linearizing the dynamic system. We give two examples of the numerical analysis of control of Henon map and Brusselator with periodic force added and a mathematical demostfation are given.
出处
《计算机工程与设计》
CSCD
北大核心
1999年第4期20-24,共5页
Computer Engineering and Design