含有迟滞的Hammerstein模型辨识与控制  

A Method for Identifying and Controlling Hammerstein Model with Hysteresis

作　　者：谢扬球[1] 谭永红[2] 

机构地区：[1]西安电子科技大学电子工程学院,西安710071 [2]上海师范大学信息与机电工程学院,上海200234

出　　处：《机械科学与技术》2014年第5期723-729,共7页Mechanical Science and Technology for Aerospace Engineering

基　　金：上海师范大学重点学科项目(DZL811;DRL904);上海市科学技术委员会研究项目(10JC1412200);国家自然科学基金项目(61171088);上海市教委科技创新项目(11YZ92);广西科学研究与技术开发计划项目(桂科攻12118021-2-2);广西科技厅项目(桂科能13-051-02);广西大学重点实验室开放基金项目(GXKFJ11-02)资助

摘　　要：迟滞特性具有非光滑、多值映射等复杂特性,如果迟滞环节的末端还存在一个线性子系统,导致其输出信号不可测,常规的方法难以进行有效的辨识和控制。提出一种基于退化激励信号的分步辨识法。设计一个退化激励信号将迟滞退化为一条光滑的、一一映射的曲线,并由广义递推最小二乘法(RGIA)辨识线性环节;根据已辨识的线性子模型,采用"扩展输入空间法"辨识迟滞环节;根据辨识所得的Hammerstein模型设计一个PID前馈控制器,实现对PEA的精确运动控制。Due to its non-smoothness and multi-value mapping,it is difficult to apply the conventional identification methods to identifying the hysteresis model. Moreover,if the hysteresis subsystem follows with a linear subsystem,it is more challenging to identify the Hammerstein model because the output of the hysteresis model cannot be measured directly. This paper proposes a two-stage method. Firstly,the degeneration input,which is a special exciting signal,is designed to degenerate the hysteresis into a static smooth curve with one-to-one mapping. Thus, the non-smoothness and multi-value mapping of hysteresis are avoided so that the parameters of the linear subsystem can be estimated by the recursive general identification algorithm（ RGIA）. Secondly,with the identified linear submodel,the hysteresis subsystem is modeled with the expanded input space method. Finally,a PID feedforward controller for controlling the motion of the PEA is proposed. The experimental results on the PEA are presented to show the effects of the identification and control method.

关 键 词：Hammerstein迟滞系统 退化激励信号 扩展输入空间法 前馈补偿器 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]