从参考模型取状态的离散MRAC系统的简便算法

A Simple Algorithm of Discrete-time MRAC Systems Taking States from Reference Model

本文改进了文[1]的离散MRAC系统简便算法,提出的新算法不仅去掉了关于被控对象增益参数b_0的限制条件,而且适用于非最小相位系统,具有简单、易于实现和应用范围广泛等特点。文中采用从参考模型取状态的MRAC技术,因而增强了系统抗噪声能力。并且将文[2,3]的设计方法从相对阶数1≤d≤2且仅适用于最小相位系统的连续情况,推广到相对阶数d≥1的离散情况。仿其结果表明新算法具有良好的控制性能。

This paper improves the simple algorithm of discrete-time MRAC systems presented in [1]. The presented new algorithm not only cancels the limit condition for the plant gain parameter (b, in our paper), but also is applicable to nonminimum phase systems, and has the characters of simple structure and easy implementation as well as extensive application scope. The advantages of MRAC taking states from reference model are considered in this paper, hence, the noise-resisting ability of the control system get strengthen, and the design method for MRAC systems taking states from reference model in [2,3] is extended from continuous situation for the relative order 1≤d≤2 with minimum phase systems to discrete one for d≥1. Simulation resultes indicate that the new algorithm has better control performances.