一种混和型摄动系统鲁棒稳定性的分析方法  

AN ANALYTIC METHOD OF ROBUST STABILITY OF THE MIXED TYRE PERTURBATION SYSTEMS

作　　者：蔡勇 

出　　处：《西南工学院学报》1997年第1期11-16,共6页Journal of Southwest China Institute of Technology

摘　　要：本文讨论了不确定性系统的鲁棒稳定性分析问题，不仅研究了区间多项式族混和摄动的鲁棒稳定性中Ｈ∞的计算问题，而且将研究的范围从区间多项式族扩展到更具一般性的线性相关系数摄动的系统，以值域断面的几何性特为基础，提出了一种形象直观，简便实用的混和型摄动系统鲁棒稳定性的分析方法。并用此方法，对一个线性相关系数摄动系统的鲁棒稳定性进行了仿真研究。In this paper,the rolust stability analytic problems of the uncertainty systems are disscussed. Not only the H ∞ norm calculating guestion of the robust stability of the mixed-type perturbation in the interval polynomial family is studied, but also the range which can be done is enlarged to that of the more general linearly dependent cofficients perturbation. Based on the geometric characteristics of the value-field-cut the paper proposed on imagery and direct analgsis method of the stability of the mixed-type perturbation systems for the practical applications. The simulation study are done to a limeorly dependent cofficients perturbation system and some interesting resuls are obtained.

关 键 词：鲁棒稳定性 不确定性系统 区间多项式 H∞范数 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程] O231[自动化与计算机技术—控制科学与工程]