Strict Lyapunov Functions for the Super-Twisting Algorithm

By Jaime A. Moreno, Marisol Osorio. IEEE Transactions on Automatic Control, 2012

1,247 citations recorded by the source corpus.

Subfields: Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/c6eccb47b8fc9337a740d5ce75963d6c36425321

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Control and Systems Engineering

Citations in the corpus

Stability notions and Lyapunov functions for sliding mode control systems (2014, methodology): “where γ = γ(α, β) > 0 is a positive number (see [24] for details).”
Adaptive Second-Order Sliding-Mode Observer for PMSM Sensorless Control Considering VSI Nonlinearity (2018, background): “According to [39] and [40], sliding mode coefficients of the above STA should satisfy (3) to stabilize the observer”
Adaptive continuous higher order sliding mode control (2016, methodology): “Related to these advances in higher-order sliding mode schemes has been the discovery of classes of Lyapunov functions – particularly for 2-order sliding mode schemes (2SM) [Moreno and Osorio, 2006].”
Implementation of Super-Twisting Control: Super-Twisting and Higher Order Sliding-Mode Observer-Based Approaches (2016, methodology): “This parameter can be selected as a procedure given in [17] and [20].”
Sliding-Mode-Based Differentiation and Its Application (2017, background): “…equals r, and the output can be in finite time stabilized at zero by means of the rthorder SM (r-SM) (Bartolini et al. (2003); Floquet et al. (2003); Levant (1993, 2003); Man et al. (1994); Moreno and Osorio (2012); Polyakov and Fridman (2014); Shtessel and Shkolnikov (2003); Yang and Yang (2011)).”
Multivariable continuous fixed-time second-order sliding mode control: design and convergence time estimation (2017, methodology): “It results that the estimate obtained in [13, 14] is too conservative to be applicable in practice.”