A Variational Approach to the Design of Multivariable Discrete-Time Supertwisting-Like Algorithms

被引：0

作者：

Miranda-Villatoro, Felix A. ^{[1
]}

机构：

[1] Univ Grenoble Alpes, CNRS, Grenoble INP, Lab Jean Kuntzmann,Ctr Inria, F-38000 Grenoble, France

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2025年 / 70卷 / 04期

关键词：

Stability analysis; Emulation; Robustness; Digital computers; Thermal stability; Numerical stability; Context modeling; Asymptotic stability; Wind energy conversion; Trajectory tracking; Convex optimization; discrete-time systems; proximal-point algorithms; robustness; sliding-mode control; splitting algorithms; SLIDING-MODE CONTROL; SUPER-TWISTING CONTROL; SPLITTING ALGORITHMS; OBSERVER; SYSTEMS; ORDER;

D O I：

10.1109/TAC.2024.3484308

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this article, a family of discrete-time, supertwisting-like algorithms is presented. The algorithms are naturally vector-valued and are described in an implicit fashion, reminiscent of backward-Euler discretization schemes. The well-posedness of the closed-loop is established and the robust stability, against a family of external disturbances, is thoroughly studied. Implementation strategies, involving splitting-algorithms from convex optimization, are also discussed and compared. Finally, numerical simulations show the performance of the proposed schemes.

引用

页码：2495 / 2506

页数：12

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