磁悬浮直线电动机H_∞鲁棒控制器及其蚁群算法优化设计  

Magnetic levitation linear motor H-infinity robust controller design and optimization of ant colony algorithm

作　　者：蓝益鹏[1] 刘宇菲[1] 

机构地区：[1]沈阳工业大学电气工程学院,辽宁沈阳110870

出　　处：《控制理论与应用》2015年第4期527-532,共6页Control Theory & Applications

基　　金：国家自然科学基金项目(50975181)资助~~

摘　　要：磁悬浮永磁直线电动机在结构上取消了机械传动的中间环节,具有磁悬浮和直接驱动的特点.针对磁悬浮永磁直线电动机由于悬浮高度不同,在磁悬浮和直接驱动运行过程中存在自身参数摄动和外界干扰突出的问题,设计基于蚁群算法的H_∞鲁棒控制器,以保证系统对这些不确定性具有良好的鲁棒性.建立包含磁悬浮永磁直线电动机参数摄动和外界干扰的状态空间模型.推导出无须满足正则条件约束的Riccati不等式,给出H_∞鲁棒控制器的解析表达式.针对H_∞控制器中加权矩阵选择的困难,采用蚁群算法对加权矩阵进行寻优.最后在MATLAB环境下对控制系统进行仿真研究.仿真实验表明基于蚁群算法的磁悬浮永磁直线电动机控制系统的性能比优化前有较明显改善,说明该方法的可行性和有效性.Magnetic levitation permanent magnet linear motor has the characteristics of magnetic suspension and direct drive, and in the structure of the motor the mechanical transmission of the intermediate links is cancelled. For the existence of parameters perturbation and outstanding external disturbance in the process of magnetic levitation and direct drive running which due to suspension height is different, H-infinity robust controller based on ant colony algorithm is designed to ensure that the system has good robustness to these uncertainties. Establish the state space model of the magnetic levitation permanent magnet linear motor contains parameter perturbation and external disturbance. Riccati inequality that does not need to satisfy the regularity condition is deduced, and the analytical expression of robust H-infinity controller is given. For difficulties in selecting weighted matrix of H-infinity controller, using ant colony algorithm for optimization. Finally, simulation of control system is studied in the matlab environment, the simulation result shows that the performance of maglev linear motor control system based on ant colony algorithm is obviously improved than before, illustrates the feasibility and effectiveness of the method.

关 键 词：磁悬浮永磁直线电动机 鲁棒控制 蚁群优化 RICCATI不等式 

分 类 号：TM359.4[电气工程—电机] TP13[自动化与计算机技术—控制理论与控制工程]