A Lyapunov approach to second-order sliding mode controllers and observers

By Jaime A. Moreno, Marisol Osorio. IEEE Conference on Decision and Control, 2008

996 citations recorded by the source corpus.

Subfields: Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/536339e122d9b395c7ca8f9e2dd0cc465a943295

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In Control and Systems Engineering

Citations in the corpus

Sliding mode control approaches to the robust regulation of linear multivariable fractional‐order dynamics (2010, methodology): “The same Lyapunov function as that used in [34] is considered: Vi=2k3| i |+ (1)2 z2 i + (1)2 (k1| i |1/2sign( i )+k1 i−zi )2”
Robust Voltage Control of Floating Interleaved Boost Converter for Fuel Cell Systems (2018, neutral): “4) can be expressed as [27], [28]”
Uniform Robust Exact Differentiator (2010, methodology): “Besides, new algorithms have been proposed based on the STA (see [13], [14]), ensuring the finite time convergence and robustness characteristics by means of strong Lyapunov functions, and providing a formula to estimate the convergence time.”
Robust Model-Based Fault Diagnosis for PEM Fuel Cell Air-Feed System (2016, methodology): “The modified ST sliding-mode algorithm, which consists of two nonlinear terms and two linear terms [27], is employed to estimate the system states and reconstruct the fault signal, simultaneously.”
Super twisting control algorithm for the attitude tracking of a four rotors UAV (2012, methodology): “The stability and finite time convergence characteristics of the used algorithm have been recently proved by means of Lyapunov functions [15], [16], [17], [18], so why the stability analysis of the proposed controller has been conducted in the same way.”
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”
Finite Time Fault Tolerant Control for Robot Manipulators Using Time Delay Estimation and Continuous Nonsingular Fast Terminal Sliding Mode Control (2017, methodology): “A third solution proposed to decrease the chattering is the high-order sliding mode (HOSM) technique [59-66].”
Adaptive continuous higher order sliding mode control (2016, background): “…for higher order sliding mode control structures – particularly twisting and super-twisting controllers - has also rejuvenated interest in this area (Moreno & Osorio (2008)) and the literature expanding these Lyapunov ideas into the realm of adaptive sliding mode control is developing rapidly…”
Uniform Second-Order Sliding Mode Observer for mechanical systems (2010, methodology): “The GSTA based observer [18] was designed for comparison purposes.”
A linear framework for the robust stability analysis of a Generalized Super-Twisting Algorithm (2009, methodology): “In [17], [14] strong Lyapunov functions for STA are proposed , which allow to use the Lyapunov design for STA and to estimate the convergence time.”
A novel adaptive-gain supertwisting sliding mode controller: Methodology and application (2012, methodology): “The proof is based on recently proposed Lyapunov function (Moreno & Osorio, 2008; Polyakov & Poznyak, 2009).”
Strict Lyapunov Functions for the Super-Twisting Algorithm (2012, background): “However, when the perturbation term appears at s. the estimation errors are no longer zero but ultimately bounded.”
Lyapunov Approach for Analysis and Design of Second Order Sliding Mode Algorithms (2011, methodology): “In [20] a strong and robust Lyapunov function is introduced, but its handling, although simple, is cumbersome.”