Discrete-time equivalents of the super-twisting algorithm

DOI10.1016/J.AUTOMATICA.2019.05.040zbMath1429.93049OpenAlexW2954039140WikidataQ127738617 ScholiaQ127738617MaRDI QIDQ2280826

Stefan Koch, Markus Reichhartinger

Publication date: 19 December 2019

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2019.05.040

zbMATH Keywords

stability analysisdiscrete-time systemssliding mode controlrobust controlchatteringsuper-twisting algorithm

Mathematics Subject Classification ID

Sensitivity (robustness) (93B35) Discrete-time control/observation systems (93C55) Variable structure systems (93B12)

Related Items (12)

Robust exact differentiators with predefined convergence time ⋮ Disturbance observer based dead‐beat control of multi‐input systems with unknown disturbances and bounded inputs using discrete‐time higher order sliding mode ⋮ A predefined‐time first‐order exact differentiator based on time‐varying gains ⋮ Digital implementation of sliding‐mode control via the implicit method: A tutorial ⋮ Lyapunov‐based consistent discretization of stable homogeneous systems ⋮ Lyapunov stability analysis of discrete-time robust adaptive super-twisting sliding mode controller ⋮ An arbitrary-order exact differentiator with predefined convergence time bound for signals with exponential growth bound ⋮ On implementing the implicit discrete‐time super‐twisting observer on mechanical systems ⋮ A redesign methodology generating predefined‐time differentiators with bounded time‐varying gains ⋮ Conditioned super-twisting algorithm for systems with saturated control action ⋮ Higher order sliding mode inspired nonlinear discrete-time observer ⋮ Discrete-time sliding mode control of linear systems with input saturation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Proper discretization of homogeneous differentiators
• Discontinuous systems. Lyapunov analysis and robust synthesis under uncertainty conditions
• Implicit Euler numerical scheme and chattering-free implementation of sliding mode systems
• Robust exact differentiation via sliding mode technique
• Novel development of the Lyapunov stability theory for discrete-time systems. II: Stability criteria
• Stability proof for a well-established super-twisting parameter setting
• Stability of dynamical systems. Continuous, discontinuous, and discrete systems
• Certainty equivalence adaptation combined with super-twisting sliding-mode control
• Lyapunov Stability and Performance Analysis of the Implicit Discrete Sliding Mode Control
• New methodologies for adaptive sliding mode control
• Sliding order and sliding accuracy in sliding mode control
• Higher-order sliding modes, differentiation and output-feedback control
• A Novel Method to Estimate the Reaching Time of the Super-Twisting Algorithm
• Realization and Discretization of Asymptotically Stable Homogeneous Systems
• When is it reasonable to implement the discontinuous sliding‐mode controllers instead of the continuous ones? Frequency domain criteria
• An arbitrary-order differentiator design paradigm with adaptive gains
• Reaching Time Estimation for “Super-Twisting” Second Order Sliding Mode Controller via Lyapunov Function Designing
• Eigenstructure-based analysis for non-linear autonomous systems
• Analysis of chattering in continuous sliding-mode controllers
• Euler's Discretization of Single Input Sliding-Mode Control Systems
• Analysis of Chattering in Systems With Second-Order Sliding Modes
• Uniform Robust Exact Differentiator
• Strict Lyapunov Functions for the Super-Twisting Algorithm
• Chattering-Free Digital Sliding-Mode Control With State Observer and Disturbance Rejection
• Variable Gain Super-Twisting Sliding Mode Control

This page was built for publication: Discrete-time equivalents of the super-twisting algorithm