This paper presents an adaptive nonsingular terminal sliding mode controller for a bearingless permanent magnet synchronous motor. In order to rapidly converge state variables associated with terminal sliding mode control, an adaptive variable-rated exponential reaching law, in which the L1 norm of state variables is introduced, is proposed for the second-order uncertain nonlinear dynamical system. Exponential and constant reaching speed can adaptively adjust according to the distance between state variable and equilibrium point, which can shorten the reaching time and weaken system chattering. The mathematical models for rotating speed and the rotor radial displacement of the bearingless permanent magnet synchronous motor system are set up. The proposed method is then applied to the speed and radial displacement control. Simulation results are provided to validate the effectiveness of the proposed method.
AsamaJAsamiTImakawaTet al. (2011) Effects of permanent-magnet passive magnetic bearing on a two-axis actively regulated low-speed bearingless motor. IEEE Transactions on Energy Conversion26(1): 46–54.
2.
ChenZGengJLiuX D (2011) An integral and exponential time-varying sliding mode control of permanent magnet synchronous motors. Transactions on China Electro-Technical Society26(6): 756–761.
3.
ChibaADeidoTFukaoTet al. (1994) An analysis of bearingless AC motors. IEEE Transactions on Energy Conversion9(1): 61–67.
4.
FengYYuXHManZH (2002) Non-singular terminal sliding mode control of rigid manipulators. Automatica38(12): 2159–2167.
5.
FengYZhengJFYuXHet al. (2009) Hybrid terminal sliding mode observer design method for a permanent magnet synchronous motor control system. IEEE Transactions on Industrial Electronics56(9): 3424–3431.
6.
GaoWB (1989) Variable structure control to nonlinear systems. Acta Automatica Sinica15(5): 408–415.
7.
GrabnerHAmrheinWSilberS (2008) Nonlinear feedback control of bearingless slice motors. International Review of Electrical Engineering3(5): 906–911.
8.
JinMLLeeJHunP (2009) Practical nonsingular terminal sliding-mode control of robot manipulators for high-accuracy tracking control. IEEE Transactions on Industrial Electronics56(9): 3593–3601.
9.
LiSHZhouMMYuXH (2013) Design and implementation of terminal sliding mode control method for PMSM speed regulation system. IEEE Transactions on Industrial Informatics9(4): 1879–1891.
10.
MengQSZhangSRWuYY (2014) Fuzzy self-adaptive PID control for the suspending subsystem of bearingless permanent magnet-type synchronous motors. In: 9th IEEE conference on industrial electronics and applications, pp:1221–1226.
11.
OoshimaMChibaARahmanAet al. (2004) An improved control method of buried-type IPM bearingless motors considering magnetic saturation and magnetic pull variation. IEEE Transactions on Energy Conversion19(3): 569–575.
12.
OoshimaMMiyazawaSDeidoTet al. (1996) Characteristics of a permanent magnet type bearingless motor. IEEE Transactions on Industrial Applications32(2): 363–370.
13.
QiuZJDengZQWangXL (2006) A study on independent control of the bearingless permanent magnet synchronous motor. Proceedings of the CSEE26(2): 115–119.
14.
SchneiderTPetersenJBinderA (2008) Influence of pole pair combinations on high-speed bearingless permanent magnet motor performance. In: Proceedings of the IEEE conference power electronics, pp.707–711.
15.
SunXDChenLYangZB (2013) Overview of bearingless permanent magnet synchronous motors. IEEE Transactions on Industrial Electronics60(12): 5528–5538.
16.
SunXDZhuHQPanW (2009) Decoupling control of bearingless permanent magnet-type synchronous motor using artificial neural networks based inverse system method. International Journal of Modelling8(2): 114–121.
17.
TongKWZhangXZhangYet al. (2008) Sliding mode variable structure control of permanent magnet synchronous machine based on a novel reaching law. Proceedings of the CSEE28(21): 102–106.
18.
XuBZhuHQJiWet al. (2012) Modified square-root unscented Kalman filter and its application to speed sensorless control of bearingless permanent magnet synchronous motor. Control Theory & Applications29(1): 53–58.
19.
YangJLiSHSuJYet al. (2013) Continuous nonsingular terminal sliding mode control for systems with mismatched disturbances. Automatica49(7): 2287–2291.
20.
ZakM (1988) Terminal attractors for addressable memory in neural networks. Physics Letters A133(1/2): 18–22.
21.
ZhangSLuoFL (2009) Direct control of radial displacement for bearingless permanent-magnet-type synchronous motors. IEEE Transactions on Industrial Electronics56(2): 542–552.
22.
ZhangXGZhaoKSunLet al. (2011) A PMSM sliding mode control system based on a novel reaching law. Proceedings of the CSEE31(24): 77–82.
23.
ZhengJFFengYLuQL (2009) High-order terminal sliding-mode control for permanent magnet synchronous motor. Control Theory & Applications26(6): 697–700.
24.
ZhuHQChengQLWangCB (2009) Modeling of bearingless permanent magnet synchronous motor based on mechanical to electrical coordinates transformation. Science in China Series E: Technological Sciences52(12): 3736–3744.
