Abstract
In this chapter, the basic ideas of adaptive SMC are presented. They are intended to minimize an undesired chattering effect during motion in sliding mode. Two main approaches for designing adaptive SMC are discussed: the \(\sigma \)-adaptation and the dynamic adaptation based on the equivalent control, measured by a first-order low-pass filter with the discontinuous control as an input. Super-twisting control with adaptation is also considered.
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References
Utkin, V.I., Poznyak, A.S.: Advances in Sliding Mode Control: Concept, Theory and Implementation. In: Adaptive Sliding Mode Control. Springer, Berlin (2013a)
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Utkin, V.I., Poznyak, A.S.: Adaptive sliding mode control with application to super-twist algorithm: Equivalent control method. Automatica 49(1), 39–47 (2013a)
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Utkin, V., Poznyak, A., Orlov, Y.V., Polyakov, A. (2020). Adaptive SMC. In: Road Map for Sliding Mode Control Design. SpringerBriefs in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-030-41709-3_9
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DOI: https://doi.org/10.1007/978-3-030-41709-3_9
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