自适应控制在非线性系统中的应用

APPLICATION OF ADAPTIVE CONTROL IN NON-LINEAR SYSTEM

本文介绍一个单信号输入、单信号输出、双反馈环节的非线性系统利用AppleⅡ微型机和BASIC语言编程,实现了自适应控制;克服了对非线性系统(或随机系统)直接列写动态方程式的困难。由微型机对系统观测量的时间序列采样,并用简化的ARMA模型实现在线系统辨识,实现实时最优控制,得到了满意的动态特性。本文解决了如何选初始值以保证系统参数的收敛性和收敛速度问题;讨论了采样周期对系统的影响。

The paper describes a non-linear system with signal-in, signal-out, double feedback loops implemented with Apple Ⅱ micro-computer and BASIC language programming for adaptive control. The difficulty of writing directly dynamic equations for a non-linear system (or a random system) was overcome. The microcomputer takes samples of observed values of the system according to time sequence. Simplified ARMA model is used to obtain on-line system identification and real-time optimal control. Satisfactory dynamic characteristics are obtined. The paper has solved the problem of how to select the initial value to ensure convergence of system parameters and rate of convergence. The paper discusses the influence of sampling cycle on the system.