Nonlinear zero-bias current control for active magnetic bearing in power magnetically levitated spindle based on adaptive backstepping sliding mode approach

Nonlinear zero-bias current control for active magnetic bearing in power magnetically levitated spindle based on adaptive backstepping sliding mode approach
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基于自适应反步滑模法的动力磁悬浮主轴主动磁轴承非线性零偏电流控制

DOI:
10.1177/0954406216652172
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发表时间:
2017-10
期刊:
Journal of Mechanical Engineering Science
影响因子:
--
通讯作者:
周凯
周凯
中科院分区:
其他
文献类型:
--
作者:
荣海;周凯

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提出了一种降低动力磁悬浮主轴系统中磁悬浮轴承功耗的零偏置电流控制方法。零偏电流控制方式比零偏磁链控制方式更容易实现,因为电流可以直接检测,而磁链在实际中很难测量。另外,电磁轴承还存在参数不确定性和外载荷等集中不确定性,由集中不确定性引起的转子位移是不理想的。在实际应用中,集中不确定性尤其是外部负载的上界很难确定,使得传统滑模控制的参数选择困难。针对这一问题,结合滑模控制和反演控制的优点,提出了自适应反演滑模控制方法。此外,集中不确定度的上界估计在真实的时间的自适应律。本文首先建立了一种新的具有集中不确定性的零偏置电流主动磁轴承系统模型,然后分别设计了基于滑模控制和自适应反演滑模控制的控制器,并利用李雅普诺夫函数对这两种控制器进行了稳定性分析;最后,通过仿真和实验验证了所提出的自适应反推滑模控制方法在零偏置电流磁轴承系统中的有效性。
The zero-bias current controlled way is proposed to cut down the power consumption of the active magnetic bearing in a power magnetically levitated spindle system. The zero-bias current controlled way is easier to realize than the zero-bias flux controlled way, since current can be detected directly, while flux is hard to be measured in practice. Besides, the active magnetic bearing suffers from lumped uncertainty including parameter uncertainty and external load, and the displacement of rotor caused by lumped uncertainty is undesirable. In practice, the upper bound of the lumped uncertainty especially the external load is hard to obtain, making it hard to choose parameters for a traditional sliding mode control. The adaptive backstepping sliding mode control method combining both the advantages of sliding mode procedure and backstepping procedure is proposed to solve this problem. Furthermore, the upper bound of lumped uncertainty is estimated in real time by an adaptive law. In this paper, first a new zero-bias current active magnetic bearing system model with lumped uncertainty is built; then two controllers based on the sliding mode control and adaptive backstepping sliding mode control methods are designed, respectively, and the stability analyses are given for the two controllers via Lyapunov function; finally, the effectiveness of the proposed adaptive backstepping sliding mode control approach for a zero-bias current active magnetic bearing system is verified by the simulation and experiment results.
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