{"title":"Sliding model control of active magnetic bearing rotor system based on state observer","authors":"Lingchun Li, Huimin Ouyang, Meiying Ou, Laixin Gao","doi":"10.1177/16878132241253666","DOIUrl":null,"url":null,"abstract":"This paper addresses a novel sliding mode control based on state observer for active magnetic bearing rotor system. Firstly, the state-space model of a radial AMB rotor system is established with considering unbalance disturbance and gyro effect for a vertical flywheel energy storage system. Then a sliding mode function and switching surface are constructed based on an observer. Meanwhile, a separation and decoupling strategy based on Finsler’s lemma is proposed. Through this method, the constraint relationship between the controller gain, active magnetic bearing matrices and the Lyapunov variables is eliminated. After that a method for chattering reduction in the sliding-mode controller is raised. Relied on these techniques, new sufficient conditions for the stability of AMB rotor system are given in the framework of linear matrix inequalities. Finally, the effectiveness of the proposed sliding mode controller is validated on the experimental platform of the flywheel energy storage system.","PeriodicalId":7357,"journal":{"name":"Advances in Mechanical Engineering","volume":"17 1","pages":""},"PeriodicalIF":2.1000,"publicationDate":"2024-05-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Advances in Mechanical Engineering","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.1177/16878132241253666","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
This paper addresses a novel sliding mode control based on state observer for active magnetic bearing rotor system. Firstly, the state-space model of a radial AMB rotor system is established with considering unbalance disturbance and gyro effect for a vertical flywheel energy storage system. Then a sliding mode function and switching surface are constructed based on an observer. Meanwhile, a separation and decoupling strategy based on Finsler’s lemma is proposed. Through this method, the constraint relationship between the controller gain, active magnetic bearing matrices and the Lyapunov variables is eliminated. After that a method for chattering reduction in the sliding-mode controller is raised. Relied on these techniques, new sufficient conditions for the stability of AMB rotor system are given in the framework of linear matrix inequalities. Finally, the effectiveness of the proposed sliding mode controller is validated on the experimental platform of the flywheel energy storage system.
本文针对主动磁悬浮转子系统提出了一种基于状态观测器的新型滑模控制方法。首先,考虑到垂直飞轮储能系统的不平衡扰动和陀螺效应,建立了径向 AMB 转子系统的状态空间模型。然后,基于观测器构建滑模函数和开关面。同时,提出了基于 Finsler Lemma 的分离和解耦策略。通过这种方法,消除了控制器增益、主动磁轴承矩阵和 Lyapunov 变量之间的约束关系。之后,又提出了一种减少滑模控制器颤振的方法。根据这些技术,在线性矩阵不等式框架内给出了 AMB 转子系统稳定性的新充分条件。最后,在飞轮储能系统的实验平台上验证了所提出的滑模控制器的有效性。
期刊介绍:
Advances in Mechanical Engineering (AIME) is a JCR Ranked, peer-reviewed, open access journal which publishes a wide range of original research and review articles. The journal Editorial Board welcomes manuscripts in both fundamental and applied research areas, and encourages submissions which contribute novel and innovative insights to the field of mechanical engineering