基于多变量特征模型的黄金分割自适应控制系统稳定性分析(英文)

Abstract

主要研究了基于多变量特征模型的黄金分割自适应控制器的闭环系统稳定性。对从特定区间取值的双输入输出特征模型,通过计算离散系统的矩阵导出1范数,一个充分条件被用来证明闭环系统是指数稳定的。结果不仅表现了系统稳定性,还同时给出了一个黄金分割自适应控制器中可调参数数值的选取方法。最后对中继星的数学仿真验证了系统的稳定性。

This paper investigates the closed-loop system stability of golden section adaptive control law based on multivariable characteristic model.For double input-output characteristic model with parameters taking values from predefined,a sufficient condition of induced matrix 1 norm of discrete systems is used to guarantee the exponential stability of closed-loop system.The results not only show the stability but also give a method to determine the adjustable parameters of golden section adaptive control law.Finally the numerical simulation of TDRS validates the stability.