Email this article Stability Criterion and Sharp Estimates for the “Super-Twisting” Algorithm
- Authors: Fomichev V.V1,2,3, Vysotskiy A.O2
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Affiliations:
- Department of Mathematics, School of Science, Hangzhou Dianzi University, Hangzhou, Zhejiang, 310005, China
- Lomonosov Moscow State University, Moscow, 119991, Russia
- Federal Research Center “Computer Science and Control,” Russian Academy of Sciences, Moscow, 119333, Russia
- Issue: Vol 59, No 2 (2023)
- Pages: 252-256
- Section: Articles
- URL: https://journals.rcsi.science/0374-0641/article/view/144917
- DOI: https://doi.org/10.31857/S0374064123020103
- EDN: https://elibrary.ru/PVEYXZ
- ID: 144917
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Abstract
A new method for proving necessary and sufficient conditions for the global asymptotic stability of the “super-twisting” algorithm is given. The new method is based on obtaining a complete analytical solution of the system for the “worst-case” perturbation and permits one to obtain a criterion in a simpler, completely real form as well as to find estimates for the worst-case (majorizing) trajectory.
About the authors
V. V Fomichev
Department of Mathematics, School of Science, Hangzhou Dianzi University, Hangzhou, Zhejiang, 310005, China; Lomonosov Moscow State University, Moscow, 119991, Russia; Federal Research Center “Computer Science and Control,” Russian Academy of Sciences, Moscow, 119333, Russia
Email: fomichev@cs.msu.ru
A. O Vysotskiy
Lomonosov Moscow State University, Moscow, 119991, Russia
Author for correspondence.
Email: vysotskiial@gmail.com
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