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Book Sections Year : 2023

Lyapunov-based Consistent Discretization of Quasi-Continuous High Order Sliding Modes

Abstract

In this chapter we propose an explicit discretization scheme for class of disturbed systems controlled by homogeneous quasi-continuous High Order Sliding Mode controllers which are equipped with a homogeneous Lyapunov function. Such a Lyapunov function is used to construct the discretization scheme that preserves important features from the original continuous-time system: asymptotic stability, finite-time convergence, and the Lyapunov function itself.
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hal-04390949 , version 1 (12-01-2024)

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Tonametl Sanchez, Andrey Polyakov, Denis Efimov. Lyapunov-based Consistent Discretization of Quasi-Continuous High Order Sliding Modes. Sliding-Mode Control and Variable-Structure Systems, 490, Springer International Publishing, pp.205-228, 2023, Studies in Systems, Decision and Control, ⟨10.1007/978-3-031-37089-2_9⟩. ⟨hal-04390949⟩
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