A Generalized Supertwisting Algorithm

被引：53

作者：

Mei, Keqi ^{[1
,2
]}

Ding, Shihong ^{[1
]}

Yu, Xinghuo ^{[3
]}

机构：

[1] Jiangsu Univ, Sch Elect & Informat Engn, Zhenjiang 212013, Jiangsu, Peoples R China

[2] Southeast Univ, Minist Educ, Key Lab Measurement & Control Complex Syst Engn, Nanjing 210096, Peoples R China

[3] RMIT Univ, Sch Engn, Melbourne, Vic 3001, Australia

来源：

IEEE TRANSACTIONS ON CYBERNETICS | 2023年 / 53卷 / 06期

基金：

澳大利亚研究理事会; 中国国家自然科学基金;

关键词：

Finite-time convergence; generalized supertwisting algorithm (GSTA); Lyapunov method; SLIDING-MODE CONTROL; LYAPUNOV FUNCTION; SYSTEMS; ORDER; STABILITY; DESIGN;

D O I：

10.1109/TCYB.2022.3188877

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The work proposes a generalized supertwisting algorithm (GSTA) and its constructive design strategy. In contrast with the conventional STA, the most remarkable characteristic of the proposed method is that the discontinuous term in the conventional STA is replaced with a fractional power term, which can fundamentally improve the performance of the conventional STA. It is shown that if the fractional power in the nonsmooth term becomes -1/2, the GSTA will reduce to the conventional STA. Under the GSTA, it will be rigorously verified by taking advantage of strict Lyapunov analysis that the sliding variables can finite-time converge to an arbitrarily small region in a neighborhood of the origin by tuning the gains and the fractional power. Finally, simulation studies are provided to demonstrate the superiority of the theoretically obtained results.

引用

页码：3951 / 3960

页数：10

共 50 条

[1] Impulsive second-order sliding mode control in reduced information environment [J].

Aldukali, Fathi M. ;

Shtessel, Yuri B. ;

Plestan, Franck .

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2018, 28 (08) :2909-2926

[2] Discontinuous integral action for arbitrary relative degree in sliding-mode control [J].

Angel Mercado-Uribe, Jose ;

Moreno, Jaime A. .

AUTOMATICA, 2020, 118 (118)

[3] Output tracking control of uncertain nonlinear second-order systems [J].

Bartolini, G ;

Ferrara, A ;

Usai, E .

AUTOMATICA, 1997, 33 (12) :2203-2212

[4] Finite-time stability of continuous autonomous systems [J].

Bhat, SP ;

Bernstein, DS .

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2000, 38 (03) :751-766

[5] Nonfragile H∞ Filter Design for T-S Fuzzy Systems in Standard Form [J].

Chang, Xiao-Heng ;

Yang, Guang-Hong .

IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS, 2014, 61 (07) :3448-3458

[6] New Super-Twisting Zeroing Neural-Dynamics Model for Tracking Control of Parallel Robots: A Finite-Time and Robust Solution [J].

Chen, Dechao ;

Li, Shuai ;

Lin, Faa-Jeng ;

Wu, Qing .

IEEE TRANSACTIONS ON CYBERNETICS, 2020, 50 (06) :2651-2660

[7] Sliding-Mode Control for Linear Uncertain Systems With Impulse Effects via Switching Gains [J].

Chen, Wu-Hua ;

Deng, Xiaoqing ;

Zheng, Wei Xing .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2022, 67 (04) :2044-2051

[8] A Dynamic Event-Triggered Approach to State Estimation for Switched Memristive Neural Networks With Nonhomogeneous Sojourn Probabilities [J].

Cheng, Jun ;

Liang, Lidan ;

Park, Ju H. ;

Yan, Huaicheng ;

Li, Kezan .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2021, 68 (12) :4924-4934

[9] Higher Order Sliding Mode Control Using Discontinuous Integral Action [J].

Cruz-Zavala, Emmanuel ;

Moreno, Jaime A. .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2020, 65 (10) :4316-4323

[10] Adaptive Fuzzy SOSM Controller Design With Output Constraints [J].

Ding, Shihong ;

Zhang, Binbin ;

Mei, Keqi ;

Park, Ju H. .

IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2022, 30 (07) :2300-2311

← 1 2 3 4 5 →