Abstract
Due to different imperfections of switching devices, unmodeled dynamics, and discrete-time implementation, the state trajectories are not confined to the sliding manifold but run in its vicinity. Usually, it results in high-frequency oscillation with a finite amplitude. This motion is referred to as chattering. The motion in some vicinity of the sliding manifold with no high-frequency component can be caused by continuous approximation of discontinuous control. When implementing a continuous controller by power converters, a technique like pulse-width modulation (PWM) is considered to be exploited to adapt the control law to the discontinuous system inputs.
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Utkin, V., Poznyak, A., Orlov, Y.V., Polyakov, A. (2020). Chattering Problem. In: Road Map for Sliding Mode Control Design. SpringerBriefs in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-030-41709-3_6
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DOI: https://doi.org/10.1007/978-3-030-41709-3_6
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