On the Variation of the Nonlinearity Parameter in the “Super-Twisting” Algorithm
- Авторлар: Fomichev V.1,2,3, Vysotskiy A.2
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Мекемелер:
- 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
- Шығарылым: Том 59, № 11 (2023)
- Беттер: 1571-1574
- Бөлім: Articles
- URL: https://journals.rcsi.science/0374-0641/article/view/233735
- DOI: https://doi.org/10.31857/S0374064123110134
- EDN: https://elibrary.ru/PFBOCN
- ID: 233735
Дәйексөз келтіру
Аннотация
We study the stability of a modified (with variation in the nonlinearity parameter) “super-twisting” algorithm. The analysis is based on majorizing the trajectories of the system with an arbitrary nonlinearity parameter by the trajectories of systems of the classical “super-twisting” algorithm. Stability conditions for the modified systems are obtained, as well as estimates for the size of the stability domain depending on system parameters
Авторлар туралы
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. Vysotskiy
Lomonosov Moscow State University, Moscow, 119991, Russia
Хат алмасуға жауапты Автор.
Email: vysotskiial@gmail.com
Әдебиет тізімі
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