Sensorless Vector Control for Induction Motor Drive at Very Low and Zero Speeds Based on an Adaptive-Gain Super-Twisting Sliding Mode Observer

Exponential super-twisting control for nonlinear systems with unknown polynomial perturbations

“…Although the STA algorithm appeared in the 90s of the last century, it is still widely used today, such as the literatures 13,14,19,25,[29][30][31][32] of the last three years. The core structure of the STA algorithms used in these literatures is consistent.…”

“…Remark 6 Note that the controllers ESTA (14) and STA (9) use full state feedback control. These controllers can be applied to higher-order systems if they can be converted to first-order systems and the state of the firstorder system is available.…”

“…For the systems subject to T-periodic perturbations, Papageorgiou and Edwards 19 investigate the stability properties and performance of super-twisting sliding-mode control loops. STA techniques were applied to different areas such as Mars entry trajectory tracking with nonsingular terminal sliding mode surface 20 , control of robot manipulators 21 , 22 and mobile robots 23 using robust high-order form, altitude control of a quadrotor unmanned aerial vehicle 24 , adaptive STA control of multi-quadrotor under external disturbance 25 , aircraft at high angle of attack 26 , STA control combined with radial basis function neural network for micro gyroscope 27 , energy management control for integrated DC micro-grid 28 , STA control of passive gait training exoskeleton driven by pneumatic muscles 29 , STA non-sigular fast terminal sliding motor control of interior permanent magnet synchronous motor 30 , and STA state observer based controllers for induction motor drive 14 and for permanent magnet synchronous motor drive 31 , 32 systems. Among these STA techniques, it is assumed that the system uncertainties or external perturbations are bounded within some constants and/or some Lipschitz functions with the boundaries known a priori.…”

“…To attenuate the chattering phenomenon and improve the accuracy, the high-order SMC (HOSMC) has been studied intensively and shown effectiveness 7,8 . As an important class of HOSMC, the super-twisting algorithm (STA) introduced in 9 attracts a lot of attention [10][11][12][13][14] proposed an STA based output feedback stabilization for perturbed double-integrator system. A describing function based STA was presented in 15 .…”