Title
Discrete-Time Multivariable Super-Twisting Algorithm With Semi-Implicit Euler Method
Abstract
The classical super-twisting algorithm (STA) has many advantages, such as the simplicity, finite-time convergence, high accuracy, and robustness. However, its scalar input and output may hinder its applications in affine systems with multiple inputs and multiple outputs (MIMO). Therefore, the classical STA has been extended into multivariable versions in the literature to overcome such a limitation. The problem is that, the multivariable STA inherits another downside of the classical STA during implementation, that is, the numerical chattering for large sizes of the sampling period or gains of the STA, which deteriorates the control performance in MIMO systems. This brief proposes a new discrete-time implementation scheme for the multivariable STA with a semi-implicit Euler discretization approach. It attenuates the numerical chattering while reserving the robustness of the multivariable STA. The advantages of the proposed scheme are demonstrated numerically with comparisons with the classical STA and the multivariable STA implementation method through simulations.
Year
DOI
Venue
2022
10.1109/TCSII.2022.3182772
IEEE Transactions on Circuits and Systems II: Express Briefs
Keywords
DocType
Volume
Multivariable super-twisting algorithm,semiimplicit euler,discrete-time sliding mode control,numerical chattering
Journal
69
Issue
ISSN
Citations 
11
1549-7747
0
PageRank 
References 
Authors
0.34
16
6
Name
Order
Citations
PageRank
Xiansheng Yang103.38
Xiaogang Xiong295.96
Zhenyu Zou300.34
Lou YJ415136.35
Shyam Kamal500.68
Li Jiangang606.08