控制论中区间系统模型简化问题的Padé-型-Routh混合方法

Padé-Type and Routh Mixed Method for Reduction of Interval Systems in Control Theory

为了分析和解决线性区间系统的模型简化问题,该文建立了4种类型的区间变量线性系统的模型简化方法,称为Padé-型-Routh混合方法.该方法是建立在Padé-型逼近与α-β方法、γ-δ方法相结合的基础上的.给出的数例显示Padé-型-Routh混合方法的逼近效果是令人满意的,并且其中有两种类型的简化方法能够保证区间系统的稳定性.

A new mixed method with Padé-type and Routh form is established to analyze and resolve the model reduction problems io linear interval systems. Four expressions of the mixed method are presented in this paper, which are based on combination of the Padé-type approximation, the α-β table and the γ-δ table. A numeral example is presented to illustrate efficiency of the mixed method. It is shown that two out of the four expressions are stable.