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Linearized Bregman iteration based model-free adaptive sliding mode control for a class of non-linear systems

Gao, S; Zhao, D; Yan, X; Spurgeon, SK; (2021) Linearized Bregman iteration based model-free adaptive sliding mode control for a class of non-linear systems. IET Control Theory & Applications , 15 (2) pp. 281-296. 10.1049/cth2.12039. Green open access

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Abstract

There is a growing demand for robust data‐driven control methods particularly for industrial process control. This paper presents a new model‐free adaptive sliding mode control approach for a class of discrete‐time, multiple input and multiple output non‐linear systems. The proposed methodology seeks to address issues with the computation of inverse matrices and problems with singularity in existing methods while at the same time seeking to enhance robustness. A Majorization–Minimization technique and the L1 norm are used within the proposed optimization and an online iterative approach is described for update of the control law. The closed‐loop system response is proved to be stable. The effectiveness of the proposed control is validated by extensive simulation and also experimental results, with the performance obtained by the proposed approach being compared throughout with a well‐known approach from the established literature.

Type: Article
Title: Linearized Bregman iteration based model-free adaptive sliding mode control for a class of non-linear systems
Open access status: An open access version is available from UCL Discovery
DOI: 10.1049/cth2.12039
Publisher version: https://doi.org/10.1049/cth2.12039
Language: English
Additional information: © 2020 The Authors. IET Control Theory & Applications published by John Wiley & Sons Ltd on behalf of The Institution of Engineering and Technology. This is an open access article under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/).
UCL classification: UCL
UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Electronic and Electrical Eng
URI: https://discovery.ucl.ac.uk/id/eprint/10119670
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