On the Variation of the Nonlinearity Parameter in the “Super-Twisting” Algorithm

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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

作者简介

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

编辑信件的主要联系方式.
Email: vysotskiial@gmail.com

参考

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