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Model-free adaptive tensor product control for a class of nonlinear systems

Zhao, Dongya; Gao, Shouli; Li, Fei; Yan, Xinggang; Spurgeon, Sarah K; (2024) Model-free adaptive tensor product control for a class of nonlinear systems. Control Engineering Practice , 147 , Article 105912. 10.1016/j.conengprac.2024.105912.

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Abstract

This paper presents a new data driven control for a class of discrete-time multiple input and multiple output nonlinear systems which uses the principles of model-free adaptive control and the tensor product. The design of a linearization model using the notion of the tensor product overcomes reset problems in the calculation of the pseudo partial derivative and also improves control performance. The stability of the proposed method is guaranteed by theoretical analysis. Numerical simulation results and an experimental trial are presented to validate the effectiveness of the proposed approach.

Type: Article
Title: Model-free adaptive tensor product control for a class of nonlinear systems
DOI: 10.1016/j.conengprac.2024.105912
Publisher version: http://dx.doi.org/10.1016/j.conengprac.2024.105912
Language: English
Additional information: This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions.
Keywords: Model-free adaptive control; Tensor product; Dynamic linearization; Nonlinear systems
UCL classification: UCL
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/10189674
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