Implicit Discrete-Time Adaptive First-Order Sliding Mode Control With Predefined Convergence Time

被引：5

作者：

Xiong, Xiaogang ^{[1
]}

Chen, Hua ^{[2
]}

Lou, Yunjiang ^{[1
]}

Liu, Zhichao ^{[3
]}

Kamal, Shyam ^{[4
]}

Yamamoto, Motoji ^{[2
]}

机构：

[1] Harbin Inst Technol Shenzhen, Sch Mech Engn & Automat, Shenzhen 518055, Peoples R China

[2] Kyushu Univ, Grad Sch Engn, Fukuoka 8190395, Japan

[3] Ubtech Co, Res Inst, Shenzhen 518057, Peoples R China

[4] Indian Inst Technol BHU Varanasi, Dept Elect Engn, Varanasi 221005, Uttar Pradesh, India

来源：

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS | 2021年 / 68卷 / 12期

基金：

中国国家自然科学基金;

关键词：

Super-twisting observer; arbitrary convergence time; chattering; implicit Euler; PERFORMANCE;

D O I：

10.1109/TCSII.2021.3070435

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

This brief proposes an adaptive first-order sliding mode control (SMC) with a predefined convergence time in a digital framework. It is based on an implicit Euler discretization of the set-valued signum function in SMC and a time-dependent adaptive gain scheme. Two typical cases are discussed and their stability analysis is provided, simple affine systems with first-order SMC and LTI systems with equivalent control-based sliding mode control (ECB-SMC), both in the presence of unknown perturbations. Numerical simulations show that, compared with the conventional SMC, the proposed implicit discrete-time SMC guarantees the convergence of the states within any predefined arbitrary time.

引用

页码：3562 / 3566

页数：5

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