The current study presents a novel discrete-time second-order integral sliding mode control (DSISMC) approach incorporating a finite-time stable observer for speed control of permanent magnet synchronous motors (PMSMs). Initially, an ultra-local model (ULM) is formulated for PMSM speed control, and a new finite-time stable observer is developed based on the ULM to estimate unknown dynamics. Subsequently, a DSISMC algorithm is introduced to enhance dynamic and steady-state efficiency, achieving desired speed control under disturbances. Theoretical analyses validate the realization of finite-time quasi-sliding mode. Finally, the proposed method is validated by comparing it with intelligent proportional integral and sliding mode controllers. Simulation and experimental results demonstrate the efficiency of the DSISMC algorithm.
ZhaoKZhouRSheJ, et al. Demagnetization-fault reconstruction and tolerant-control for PMSM using improved SMO-based equivalent-input-disturbance approach. IEEE/ASME Trans Mechatron2022; 27(2): 701–712.
2.
ShaoYYuYChaiF, et al. A two-degree-of-freedom structure-based backstepping observer for DC error suppression in sensorless PMSM drives. IEEE Trans Ind Electron2022; 69(11): 10846–10858.
3.
JiangFChengS.Additive-state-decomposition-based model predictive tracking control for PMSM servo system with multiple disturbances. J Franklin Inst2023; 360(13): 9378–9398.
4.
LiHSongBChenT, et al. Adaptive fuzzy PI controller for permanent magnet synchronous motor drive based on predictive functional control. J Franklin Inst2021; 358(15): 7333–7364.
5.
SunZShaoYChenC, et al. Global output-feedback stabilization for stochastic nonlinear systems: a double-domination approach. Int J Robust Nonlinear Control2018; 28(15): 4635–4646.
6.
LiuYCLaghroucheSDepernetD, et al. Super-twisting sliding-mode observer-based model reference adaptive speed control for PMSM drives. J Franklin Inst2023; 360(2): 985–1004.
7.
YangTDengYLiH, et al. Fast integral terminal sliding mode control with a novel disturbance observer based on iterative learning for speed control of PMSM. ISA Trans2023; 134: 460–471.
8.
GabbiTSde AraujoMBRochaLR, et al. Discrete-time sliding mode controller based on backstepping disturbance compensation for robust current control of PMSM drives. ISA Trans2022; 128(Pt A): 581–592.
XuSSDChenCCWuZL. Study of nonsingular fast terminal sliding-mode fault-tolerant control. IEEE Trans Ind Electron2015; 62(6): 1–3913.
11.
XuQ.Piezoelectric nanopositioning control using second-order discrete-time terminal sliding-mode strategy. IEEE Trans Ind Electron2015; 62(12): 7738–7748.
12.
AbidiKXuJXXinghuoY.On the discrete-time integral sliding-mode control. IEEE Trans Automat Contr2007; 52(4): 709–715.
13.
WangAJiaXDongS.A new exponential reaching law of sliding mode control to improve performance of permanent magnet synchronous motor. IEEE Trans Magn2013; 49(5): 2409–2412.
14.
LiSZhouMYuX.Design and implementation of terminal sliding mode control method for PMSM speed regulation system. IEEE Trans Ind Inform2013; 9(4): 1879–1891.
15.
LiTLiuX.Non-cascade fast nonsingular terminal sliding mode control of permanent magnet synchronous motor based on disturbance observers. J Electr Eng Technol2022; 17(2): 1061–1075.
16.
LiuXYuHYuJ, et al. Combined speed and current terminal sliding mode control with nonlinear disturbance observer for PMSM drive. IEEE Access2018; 6: 29594–29601.
17.
HouQDingS.GPIO based super-twisting sliding mode control for PMSM. IEEE Trans Circuits Syst II Express Briefs2021; 68(2): 747–751.
18.
LinXZhangBFangS, et al. Adaptive generalized super twisting sliding mode control for PMSMs with filtered high-gain observer. ISA Trans2023; 138: 639–649.
19.
PisanoADavilaAFridmanL, et al. Cascade control of PM DC drives via second-order sliding-mode technique. IEEE Trans Ind Electron2008; 55(11): 3846–3854.
20.
DingSMeiKLiS.A new second-order sliding mode and its application to nonlinear constrained systems. IEEE Trans Automat Contr2019; 64(6): 2545–2552.
21.
EbrahimiNOzgoliSRamezaniA.Model-free sliding mode control, theory and application. Proc IMechE, Part I: J Systems and Control Engineering2018; 232(10): 1292–1301.
22.
FliessMJoinC.Model-free control. Int J Control2013; 86(12): 2228–2252.
23.
ZhaoKYinTZhangC, et al. Robust model-free nonsingular terminal sliding mode control for PMSM demagnetization fault. IEEE Access2019; 7: 15737–15748.
24.
GaoPZhangGLvX. Model-free hybrid control with intelligent proportional integral and super-twisting sliding mode control of PMSM drives. Electronics2020; 9(9): 1427.
25.
BaraOFliessMJoinC, et al. Toward a model-free feedback control synthesis for treating acute inflammation. J Theor Biol2018; 448: 26–37.
26.
ZhangYJinJHuangL.Model-free predictive current control of PMSM drives based on extended state observer using ultra-local model. IEEE Trans Ind Electron2021; 68(2): 993–1003.
27.
WeiYWangHTianY.Adaptive sliding mode observer–based integral sliding mode model-free torque control for elastomer series elastic actuator–based manipulator. Proc IMechE, Part I: J Systems and Control Engineering2022; 236(5): 1010–1028.
28.
ZhaoYLiuXYuH, et al. Model-free adaptive discrete-time integral terminal sliding mode control for PMSM drive system with disturbance observer. IET Electric Power Appl2020; 14(10): 1756–1765.
29.
SanyalAK.Discrete-time data-driven control with Hölder-continuous real-time learning. Int J Control2022; 95(8): 2175–2187.
