eprintid: 10044422 rev_number: 22 eprint_status: archive userid: 608 dir: disk0/10/04/44/22 datestamp: 2018-03-02 16:10:51 lastmod: 2021-09-26 23:21:41 status_changed: 2019-02-27 15:12:51 type: article metadata_visibility: show creators_name: Li, J creators_name: Zhang, Q creators_name: Yan, XG creators_name: Spurgeon, S title: Observer-Based Fuzzy Integral Sliding Mode Control For Nonlinear Descriptor Systems ispublished: pub divisions: UCL divisions: B04 divisions: C05 divisions: F46 keywords: Observer-based stabilization, T-S fuzzy descriptor systems, integral sliding mode control, mechanical systems note: This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. abstract: IEEE This paper investigates observer-based stabilization for nonlinear descriptor systems using a fuzzy integral sliding mode control approach. Observer-based integral sliding mode control strategies for the T-S fuzzy descriptor systems are developed. A two step design is first developed to obtain the observer gains and coefficients in the switching function using linear matrix inequalities, and the results are used to facilitate the development of a single step design approach, which is seen to be convenient but introduces some conservatism in the design. The potential application to a class of mechanical systems is also considered. Since the descriptor system representation of mechanical systems is adopted, it is shown that in contrast to the existing fuzzy sliding mode control methods based on the normal system representation, the resulting T-S fuzzy system does not contain different input matrices for each local subsystem and the required number of fuzzy rules is consequently markedly reduced. Finally, the balancing problem of a pendulum on a car is numerically simulated to demonstrate the effectiveness of the proposed method. date: 2018-10 date_type: published official_url: https://doi.org/10.1109/TFUZZ.2018.2802458 oa_status: green full_text_type: other language: eng primo: open primo_central: open_green article_type_text: Article in Press verified: verified_manual elements_id: 1535748 doi: 10.1109/TFUZZ.2018.2802458 lyricists_name: Spurgeon, Sarah lyricists_id: SSPUR40 actors_name: Spurgeon, Sarah actors_id: SSPUR40 actors_role: owner full_text_status: public publication: IEEE Transactions on Fuzzy Systems volume: 26 number: 5 pagerange: 2818-2832 issn: 1063-6706 citation: Li, J; Zhang, Q; Yan, XG; Spurgeon, S; (2018) Observer-Based Fuzzy Integral Sliding Mode Control For Nonlinear Descriptor Systems. IEEE Transactions on Fuzzy Systems , 26 (5) pp. 2818-2832. 10.1109/TFUZZ.2018.2802458 <https://doi.org/10.1109/TFUZZ.2018.2802458>. Green open access document_url: https://discovery.ucl.ac.uk/id/eprint/10044422/1/Li_Zhang_Yan_Spurgeon.pdf