Computing and Estimating the Reaching Time of the Super-Twisting Algorithm

DOI10.1007/978-3-030-36621-6_3zbMath1461.93078OpenAlexW2995833164MaRDI QIDQ5855900

Richard Seeber

Publication date: 22 March 2021

Published in: Studies in Systems, Decision and Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-36621-6_3

zbMATH Keywords

quadratic Lyapunov functionsperturbation boundssecond-order sliding-mode algorithmunperturbed reaching time

Mathematics Subject Classification ID

Perturbations in control/observation systems (93C73) Variable structure systems (93B12)

Related Items (3)

Robust exact differentiators with predefined convergence time ⋮ Worst-case error bounds for the super-twisting differentiator in presence of measurement noise ⋮ Fractional-order control with second-order sliding mode algorithm and disturbance estimation for vibration suppression of marine riser

Uses Software

• SeDuMi
• YALMIP

Cites Work

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• Robust exact differentiation via sliding mode technique
• Geometric homogeneity with applications to finite-time stability
• State-space solutions to standard H/sub 2/ and H/sub infinity / control problems
• Sliding order and sliding accuracy in sliding mode control
• Using SeDuMi 1.02, A Matlab toolbox for optimization over symmetric cones
• A Lyapunov Function for an Extended Super-Twisting Algorithm
• A Novel Method to Estimate the Reaching Time of the Super-Twisting Algorithm
• Reaching Time Estimation for “Super-Twisting” Second Order Sliding Mode Controller via Lyapunov Function Designing
• Strict Lyapunov Functions for the Super-Twisting Algorithm
• On Convergence Time and Disturbance Rejection of Super-Twisting Control

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