Analysis of chattering in continuous sliding-mode controllers

By Igor M. Boiko, Leonid M. Fridman. IEEE Transactions on Automatic Control, 2005

385 citations recorded by the source corpus.

Subfields: Control and Systems Engineering, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/093f2ad76c1064b6122b581931f47d9621a3d48b

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In Control and Systems Engineering

In Statistical and Nonlinear Physics

Citations in the corpus

Sliding-Mode-Based Differentiation and Its Application (2017, background): “…increasing the sliding order, one can effectively attenuate the chattering (Bartolini et al. (1998); Levant (1993, 2010)) that still reveals itself in the residual SM dynamics due to unaccounted for system dynamics (Boiko and Fridman (2005)) and/or discretization effects (Yan et al. (2016)).”
Strict Lyapunov Functions for the Super-Twisting Algorithm (2012, neutral): “To illustrate the previous results consider a forced Van der Pol equation [8] with , , where is an uncertain and bounded perturbation with for all , and the forcing term is also uncertain and bounded, i.e., for all .”
Practical Nonsingular Terminal Sliding-Mode Control of Robot Manipulators for High-Accuracy Tracking Control (2009, background): “2024097 control both linear and nonlinear systems with uncertainties [16], [17], and applied to control robot manipulators [15], [18], and become one of the most popular continuous sliding-mode algorithms in recent years [19], [20].”
Generalized homogeneous quasi‐continuous controllers (2008, background): “Once the constraint is chosen the main problem of the standard sliding mode application is mostly related to the so-called chattering effect caused by the control switching [4-8].”
Lyapunov Approach for Analysis and Design of Second Order Sliding Mode Algorithms (2011, methodology): “This algorithm is widely used to substitute discontinuous controllers by continuous ones and it has been widely used for control [2, 7, 16, 18, 19, 12] (see also [4], [38], [13]).”
New methodologies for adaptive sliding mode control (2010, background): “Then, the main drawback of the sliding mode control, the well-known chattering phenomenon (for its analysis, see Boiko and Fridman (2005); Boiko, Fridman, Pisano, and Usai (2007)), is important and could damage actuators and systems. A first way to reduce the chattering is the use of a boundary laye”
Analysis of Chattering in Systems With Second-Order Sliding Modes (2007, methodology): “In [10] and [ 11 ], the DF method was adapted to analysis of the twisting and the super-twisting 2-SMC algorithms [26].”
Principles of 2-sliding mode design (2007, neutral): “2-sliding-mode control provides effective tools for the reduction or even practical elimination of the chattering without compromising the benefits of the standard sliding mode (Boiko & Fridman, 2005; Boiko, Fridman, Iriarte, Pisano, & Usai, 2006).”