摘要
对数控机床直线伺服系统提出二自由度鲁棒控制。首先,建立了基于模型匹配二自由度系统的状态空间模型,并将速度控制器设计归结为标准的H∞控制问题;其次,用线性矩阵不等式法得到输出反馈次优H∞控制器;最后,通过求解凸优化问题得到H∞最优控制器,以保证系统的鲁棒性。仿真结果表明,用该方法设计的数控机床直线伺服系统能够很好的抑制扰动和跟踪给定。
This paper presents two-degree-of-freedom robust control for permanent magnet linear servo system of numerically controlled machine tool. First, on the basis of building the system state space model, the design of speed controller is converted into a standard H∞ control problems. Second, with the help of LMI approach, a output feedback Sub-optimal H∞ controller is obtained. Finally, an H∞ optimal controller is gained by solving a convex optimization problem so as to guarantee system robustness. The resttlts of simulation indicate that the linear servo system with this controller has a good performance for restraint disturbance as well as for track of input signal.
出处
《组合机床与自动化加工技术》
2005年第9期62-65,共4页
Modular Machine Tool & Automatic Manufacturing Technique
基金
国家自然科学基金资助项目(50075057)
辽宁省教育厅科学研究计划资助(2004D040)
关键词
数控机床
直线伺服
二自由度
鲁棒控制
线性矩阵不等式
numerically controlled machine tool
linear servo
two-degree-of-freedom
robust control
linear matrix inequality
