Universal SISO sliding-mode controllers with finite-time convergence

By Arie Levant. 2001

267 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/b8caa8feb4a44b91138e27d78b6312abde9f890c

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Citations in the corpus

Quasi-continuous high-order sliding-mode controllers (2005, background): “Simulation demonstrates the practical applicability of the new controller.”
Chattering free full-order sliding-mode control (2014, methodology): “A number of methods for attenuating chattering have been proposed, such as boundary layer method (Utkin, 1992), high-order sliding-mode method (Bartolini, Ferrara, & Usai, 1998; Levant, 1998, 2001, 2005, 2007), and disturbance estimation method (Shtessel, Shkolnikov, & Brown, 2003).”
A novel adaptive high-order sliding mode control based on integral sliding mode (2014, methodology): “Thus, a ‘real’ r th-order sliding mode with respect to σ will be established at a given convergence time t = tf in the presence of system uncertainties, which is superior to the existing HOSMC methods [12-16,23] in terms of convergence time and robustness.”
Higher order sliding modes (2008, background): “Two other major contributions by Levant: arbitrary-order HOSM control in 2001 [14] and arbitrary-order asymptotically optimal robust exact differentiators in 2003 [15] allowed the design and the implementation of universal arbitrary-order HOSM output-feedback controllers [15].”
A Lyapunov approach to second-order sliding mode controllers and observers (2008, background): “Sliding mode control has been thoroughly studied, from both practical and theoretical point of view [1], [3], [11], [12], [14], [16], [17], [21].”
New methodologies for adaptive sliding mode control (2010, methodology): “A second way to decrease the chattering phenomenon is the use of higher order sliding mode controller [14, 1, 15, 16, 12, 19].”