采样伺服控制系统鲁棒稳定性分析方法

Analysis method for the robust stability of the sampling servocontrol system

对新一代高性能数控机床研制的整体性性能要求是高速度、高精度、高效率和高可靠性。其关键性的基础和技术之一就是高性能采样伺服控制系统的设计。这类控制系统设计的根本问题是系统鲁棒稳定性的分析。现利用根分布判别方法,对一类具有区间扰动的采样伺服控制系统鲁棒稳定性条件进行了研究,给出了两条鲁棒稳定性判别准则。当系统闭环特征多项式系数呈区间递减性质时,系统鲁棒稳定。这两条判别准则可适用于任意采样控制系统的鲁棒稳定性分析。

The performance requirements for the development of a new generation of the numerical control machine with high performance is high speed, high precision, high effieieney and high reliability. One of the key bases and technologies is the design of the sampling servoeontrol system with high performance. The basic problem of the design of this control system is the analysis of the robust stability. This paper uses the disefiminant method of the root distribution to eany out researeh on the robust stability eondition of the sampling servoeontrol system which has interval disturbances. According to that, two diseriminant eritefions of robust stability are given. The system robust is stable when the eoefficients of the close - loop eharaeteristie polynomial of the system is interval decreasing. Both these criterions are applicable to the analysis for the robust stability of arbitrary sampling control system.