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Abstract
This work presents a nested super-twisting second-order sliding mode speed controller for a brushless direct current motor with a high order sliding mode observer used for back electromotive force (back-EMF) estimation. Due to the trapezoidal nature of the back-EMF, a modified Park transformation is used in order to achieve proper field orientation. Such transformation requires information from the back-EMF that is not accessible. A second-order sliding mode observer is used to estimate the back electromotive forces needed in the modified transformation. Sliding mode control is known to be robust to matched uncertain disturbances and parametric variations but it is prone to unmatched perturbations that affect the performance of the system. A nested scheme is used to improve the response of the controller in presence of unmatched disturbances. Simulations performed under similar conditions to real-time experimentation show a good regulation of the rotor speed in terms of transient and steady-state responses along with a reduced torque ripple.
Highlights
Permanent magnet synchronous motors (PMSM) are a kind of electrical machine that has been characterized by having permanent magnets embedded within or mounted on the surface of its rotor and a three-phase winded stator
A brushless direct current (BLDC) motor is a particular kind of PMSM that has a trapezoidal-shaped back electromotive force that differentiates itself from other PMSM which have a sinusoidal shape back-EMF [1]
Back-EMF estimation, ripple reductions, and proper field orientation are some of the most common problems presented in sliding mode control for electric motors
Summary
Permanent magnet synchronous motors (PMSM) are a kind of electrical machine that has been characterized by having permanent magnets embedded within or mounted on the surface of its rotor and a three-phase winded stator. Back-EMF estimation, ripple reductions, and proper field orientation are some of the most common problems presented in sliding mode control for electric motors Most of these works focus on these problems separately while just a few deal with more than one of that issues at same time. A simple second-order sliding mode observer is designed where the equivalent control signals from the observer tend to take the form of the back-EMF Simple manipulation of these control signals is used to determine the information needed for the modified Park transformation. It is important to take into consideration the non-sinusoidal nature of the machine by using a modified transformation for proper field-oriented control while utilizing a more robust and complex control design that is capable of rejecting external and internal disturbances such as load perturbations and parametric variations.
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