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Integral sliding mode control for Markovian jump T–S fuzzy descriptor systems based on the super-twisting algorithm

Li, J; Zhang, Q; Yan, X; Spurgeon, SK; (2016) Integral sliding mode control for Markovian jump T–S fuzzy descriptor systems based on the super-twisting algorithm. IET Control Theory and Applications , 11 (8) pp. 1134-1143. 10.1049/iet-cta.2016.0862. Green open access

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Abstract

This study investigates integral sliding mode control problems for Markovian jump T–S fuzzy descriptor systems via the super-twisting algorithm. A new integral sliding surface which is continuous is constructed and an integral sliding mode control scheme based on a variable gain super-twisting algorithm is presented to guarantee the well-posedness of the state trajectories between two consecutive switchings. The stability of the sliding motion is analysed by considering the descriptor redundancy and the properties of fuzzy membership functions. It is shown that the proposed variable gain super-twisting algorithm is an extension of the classical single-input case to the multi-input case. Finally, a bio-economic system is numerically simulated to verify the merits of the method proposed.

Type: Article
Title: Integral sliding mode control for Markovian jump T–S fuzzy descriptor systems based on the super-twisting algorithm
Open access status: An open access version is available from UCL Discovery
DOI: 10.1049/iet-cta.2016.0862
Publisher version: http://doi.org/10.1049/iet-cta.2016.0862
Language: English
Additional information: © The Institution of Engineering and Technology 2016. This paper is a postprint of a paper submitted to and accepted for publication in IET Control Theory and Applications and is subject to Institution of Engineering and Technology Copyright. The copy of record is available at IET Digital Library.
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/1515873
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