多变量自校正解耦控制器的全局收敛性分析

THE GLOBAL CONVERGENCE ANALYSIS OF A MULTIVARIABLE DECOUPLING SELF-TUNING CONTROLLER

本文对多变量自校正解耦控制算法进行了稳定性和收敛性分析.结果表明:该算法即使用于非最小相位系统仍然具有全局收敛特性,即以概率1输入输出向量采样均方有界,广义跟踪误差向量条件采样均方极小.

In this paper, the stability and convergence analysis of the multivariable decoupling selftuning control algorithm presented in [1] is given. It is shown that this algorithm has global convergence properties, i.e., with probability one, the system input vector and output vector are sample mean square bounded and the conditional mean square generalized tracking error vector achieves its global minimum possible value.