中文摘要：

采用一组合趋近律的离散滑模控制方法,用于超磁致伸缩构件精密加工异形孔的高精度、实时微位移控制.该方法通过超磁致伸缩构件驱动模型与异形孔精密加工动力学分析,建立系统的状态方程,并通过微位移实时反馈解决切削干扰力不可测的问题.经微位移控制仿真和实验表明：超磁致伸缩材料（GMM）构件精密加工异形孔的微位移仿真误差在±0.8%以内,并具备快速趋近滑模面和抑制抖振的特点;微位移跟踪实验误差在±5%以内.

英文摘要：

Applied a method of discrete sliding mode control with combination reaching law, to realize high precision of micro displacement and real-time control of non-cylinder holes precision machining by giant magnetostrictive components. In the first, a state equation of the sliding control mode was established by the driven model of giant magnetostrictive components and the dynamics analysis of non-cylinder boles precision machining. And solve the problem of unpredictable cutting interference by real-time feedback of micro-displacement. The simulation and experimental results show, the micro-displacement simulation error of non-cylinder holes precision machining by giant magnetostrictive components within ± 0.8%, and has the characteristics of fast approaching the sliding surface and inhibits of buffeting. And the experiments of micro-displacement tracking error within ± 5 %.