Robust Control Design for an Active Magnetic Bearing System Using Advanced Adaptive SMC Technique

被引:20
作者
Amrr, Syed Muhammad [1 ]
Alturki, Abdulrahman [2 ]
机构
[1] Indian Inst Technol Delhi, Dept Elect Engn, New Delhi 110016, India
[2] Qassim Univ, Coll Engn, Elect Engn Dept, Buraydah 51452, Saudi Arabia
关键词
Rotors; Stability analysis; Uncertainty; Switches; Magnetic levitation; Asymptotic stability; Robust control; Uncertain nonlinear system; regulation control; sliding mode control; input chattering; adaptive gain; practical finite-time stability; homogeneity theory; Lyapunov theory; SLIDING-MODE CONTROL; UNBALANCE COMPENSATION;
D O I
10.1109/ACCESS.2021.3129140
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Fast rotating machines require special attention to ensure accurate rotor placement within the air gap. For this reason, the active magnetic bearings (AMB) system is used to levitate the rotor in the air gap using an electromagnetic feedback control force. The contact-less support AMB system improves the rotor dynamic performance and helps in the success of machine operations. However, the control design for the five degrees-of-freedom (DOF) AMB system is intricate because of its complex nonlinear dynamics. Moreover, these systems are often subjected to model uncertainties, harmonic disturbances, and sensor noises. Therefore, this paper proposes a robust control strategy using an adaptive second-order non-singular fast terminal sliding mode control (SMC) design. The proposed control law employs the higher-order SMC scheme to alleviate the chattering problem from the discontinuous SMC input, which would otherwise restrict its practical applicability. Further, a non-singular fast terminal sliding surface is selected to achieve a faster system response. The adaptive law estimates the switching gain to relax the upper bound assumption of disturbance. The theoretical stability analysis of the proposed methodology proves the finite-time convergence of system states to a small residual bound in the neighborhood of zero. The numerical analysis with a comparative study is also carried out to illustrate the efficacy of the proposed strategy.
引用
收藏
页码:155662 / 155672
页数:11
相关论文
共 49 条
[41]   Adaptive backstepping for switching control active magnetic bearing system with vibrating base [J].
Sivrioglu, S. .
IET CONTROL THEORY AND APPLICATIONS, 2007, 1 (04) :1054-1059
[42]  
Slotine J.-J. E., 1991, APPL NONLINEAR CONTR, V199
[43]   Attitude control using higher order sliding mode [J].
Tiwari, Pyare Mohan ;
Janardhanan, S. ;
Nabi, Mashuq Un .
AEROSPACE SCIENCE AND TECHNOLOGY, 2016, 54 :108-113
[44]  
Tonoli A., 2012, In Advances in Vibration Engineering and Structural Dynamics. InTech, DOI [https://doi.org/10.5772/51298, DOI 10.5772/51298]
[45]  
Utkin V, 2009, AUTOM CONTROL ENG SE, V34, P1
[46]   Second Order Sliding Mode Control Design for Active Magnetic Bearing System [J].
Van Van Huynh ;
Bach Dinh Hoang .
AETA 2015: RECENT ADVANCES IN ELECTRICAL ENGINEERING AND RELATED SCIENCES, 2016, 371 :519-529
[47]   Precision Motion Control of Piezoelectric Nanopositioning Stage With Chattering-Free Adaptive Sliding Mode Control [J].
Xu, Qingsong .
IEEE TRANSACTIONS ON AUTOMATION SCIENCE AND ENGINEERING, 2017, 14 (01) :238-248
[48]   Sliding mode control with deep learning method for rotor trajectory control of active magnetic bearing system [J].
Yao, Xuan ;
Chen, Zhaobo .
TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL, 2019, 41 (05) :1383-1394
[49]   Attitude stabilization of rigid spacecraft with finite-time convergence [J].
Zhu, Zheng ;
Xia, Yuanqing ;
Fu, Mengyin .
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2011, 21 (06) :686-702