Lyapunov stability analysis of an RMRAC-based adaptive sigmoid super-twisting sliding mode under matched and unmatched uncertainties

被引：2

作者：

Vieira Hollweg, Guilherme ^{[1
]}

Dias de Oliveira Evald, Paulo Jefferson ^{[2
]}

Grundling, Hilton Abilio ^{[3
]}

Su, Wencong ^{[1
]}

机构：

[1] Univ Michigan Dearborn, Dept Elect & Comp Engn ECE, Dearborn, MI 48128 USA

[2] Univ Fed Pelotas, Intelligent Syst & Control Grp, Pelotas, RS, Brazil

[3] Univ Fed Santa Maria, Grp Power Elect & Control, Santa Maria, RS, Brazil

来源：

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL | 2024年 / 34卷 / 18期

基金：

美国国家科学基金会;

关键词：

adaptive control; chattering suppression; direct adaptive controllers; hardware-in-the-loop; RMRAC; SMC; super-twisting; REACHING LAW; DESIGN; ORDER; MRAC; VOLTAGE; SYSTEMS;

D O I：

10.1002/rnc.7598

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This article presents a discrete-time robust model reference adaptive controller and adaptive sigmoid super-twisting sliding mode (RMRAC-ASSTSM) and its stability analysis using Lyapunov stability theory. This control structure is robust to matched and unmatched dynamics. In addition, the chattering phenomenon tends to be suppressed in the steady state due to adaptive super-twisting sliding mode action using a sigmoid function. The performance of the proposed control structure is corroborated with simulation results, considering a second-order non-minimum phase unstable plant, where it can be seen that RMRAC-ASSTSM regulation errors converge to a finite residual set when the plant presents unmodeled dynamics. A comparison is also presented with a similar RMRAC-based control structure with an adaptive super-twisting sliding mode implemented with a sign function.

引用

页码：11887 / 11923

页数：37

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