On multi-input chattering-free second-order sliding mode control

By G. Bartolini, A. Ferrara, Elio Usai, Vadim Ivanovitch Utkin. IEEE Transactions on Automatic Control, 2000

374 citations recorded by the source corpus.

Subfields: Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/a9966bfe949255214859333174e47feb843e064c

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In Control and Systems Engineering

Citations in the corpus

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].”
Universal single-input-single-output (SISO) sliding-mode controllers with finite-time convergence (2001, background): “2-sliding modes in general uncertain multiple-input–multiple-output (MIMO) systems are studied in [2].”
A continuous asymptotic tracking control strategy for uncertain nonlinear systems (2004, methodology): “, [2]), we provide a constructive Lyapunov-based design and analysis approach to the problem.”
Universal SISO sliding-mode controllers with finite-time convergence (2001, background): “2-sliding modes in general uncertain MIMO systems are studied in [2].”
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].”
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]).”
Design of Nonlinear Control Systems with the Highest Derivative in Feedback (2004, background): “(1993); Fridman and Levant (1996); Bartolini et al. (2000); Perruquetti and Barbot (2002)]. Some recent results related to sliding mode control systems are represented in [Young and Ozguner (1999)].”
Chattering Analysis (2007, background): “chattering attenuation procedure [3], [4], [11], [12], [19], [25], [29]–[31] indeed removes dangerous types of chattering.”
Sliding-Mode Robot Control With Exponential Reaching Law (2011, background): “[17], [18] proposed a second-order sliding-mode control in order to eliminate the discontinuous term in the control input (also treated in [19]).”
Derivative and integral terminal sliding mode control for a class of MIMO nonlinear systems (2012, background): “Asides from the characteristics in Remark 2, the convergence time of the ITSMC is calculable and analyzable in contrast to the high-order SMC (Bartolini et al., 2000; Defoort et al., 2009).”