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

Pub Date : 2023-12-29 DOI:10.1134/s00122661230110137

V. V. Fomichev, A. O. Vysotskii

引用次数: 0

Abstract

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.

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论 "超级扭曲 "算法中非线性参数的变化

摘要我们研究了一种改进的（非线性参数变化）"超扭曲 "算法的稳定性。分析的基础是用经典 "超级扭转 "算法的系统轨迹大化任意非线性参数的系统轨迹。研究获得了修改后系统的稳定条件，以及取决于系统参数的稳定域大小的估计值。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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