一种保证系统稳定性的改进连分式降阶法

A New Continued Fraction Theory Ensuring the Stability of a System

大系统具有高维数、多目标、不确定性等特点 ,因此对其分析与控制非常困难 ,一般需要将一个大系统分成若干子系统或对其降阶后 ,再进行处理 .连分式法是一种简便而行之有效的降阶法 ,但它不能保证系统的稳定 .本文提出了一种改进连分式降阶法 ,弥补了旧连分式降阶法的不足 .仿真结果表明改进连分式降阶法能保证系统的稳定性 ,并使降阶后的简化系统能较好地逼近原系统 .

Large-scale systems have the characteristics of high-dimension,multipurpose,uncertainty, etc, so it is difficult to analyze and control them. Generally, it is processed after being divided into several sub-systems or being order-reduced. Continued fraction theory is a kind of simple and efficient order-reduction means, but it can not guarantee the stability of the system. This paper presents an improved continued fraction theory to compensate for the shortcoming of the original continued fraction theory. The results of the simulation show that the improved continued fraction theory can ensure the stability of the system and make the reduced system approach the original system.