H_∞滤波技术在伺服系统中的应用

研究了伺服系统的H_∞滤波器设计问题.首先对无刷直流电动机控制系统进行了保性能控制器设计,在外界干扰不可避免的情况下,设计了H_∞滤波器.使得滤波误差系统渐近稳定且满足一定的H_∞性能指标,给出了滤波器存在的充分条件,并通过矩阵变换得到了设计滤波器的LMI方法.通过求解LMI,可以得到滤波器参数.范数小于指定上界的充分条件,并解出了滤波器的参数.最后仿真实例证明了该方法的有效性.

Application of H_∞ Filter to Servo System

This paper is devoted to the study of the server's H_∞ filter design of the servo system.First we designed a guaranteeing controller for brnshless DC motor control system in which exogenous disturbance was inevitable.We designed the filter which can guarantee a prescribed H_∞ performance level for the faltering error system.The sufficient conditions for existing filters were derived.A linear matrix inequalities (LMIs) method for designing filter was given by matrix transforma-tions.By solving a set of LMIs,the filter parameters were derived.Finally,an example was presented to demonstrate the effi-ciency of the proposed method.