全文下载：2012050525
步妮，刘喜梅，赵彤
（青岛科技大学 自动化与电子工程学院，山东青岛，266042）
摘要： 讨论了一类非线性系统的鲁棒控制问题。对于算子描述的一类存在建模不确定性的非线性系统，从讨论控制器B的unimodular 特性以及名义系统的稳定性AN+BD=I入手，将其设计为线性控制器，进而保证了系统的鲁棒稳定性，并且以数值例子表明了所给方法的有效性，即简易的控制器设计保证了非线性不确定系统的鲁棒稳定性。
关键词：鲁棒右互质分解，不确定性，非线性系统。
中图分类号： TP 13文献标志码： A
Simplified Robust Control for A Nonlinear System Based on
Robust Right Coprime Factorization
BU Ni, LIU Xi-mei, ZHAO Tong
(CollegeofAutomationand Electronic Engineering,QingdaoUniversityof Science and Technology,Qingdao266042)
Abstract: The robust control for a nonlinear system with uncertainties is considered by using robust right coprime factorization method. In details, on the operator-based nonlinear system with unmodeled uncertainties, considering the unimodular property of controller B and the satisfaction of the Bezout identity AN+BD=I for the nominal system, the controller B is designed to be linear so that the robust stability of the nonlinear uncertain systems is guaranteed. The numerical example confirms the effectiveness of the proposed method, namely, the robustness of the nonlinear uncertain system is guaranteed by the proposed simplified design scheme.
Key words: Robust right coprime factorization, uncertainties, nonlinear systems
收稿日期：2012-06-20
作者简介： 步妮（1981—），女，博士.
