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Observer-Based Fuzzy Integral Sliding Mode Control For Nonlinear Descriptor Systems

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 10.1109/TFUZZ.2018.2802458. (In press). Green open access

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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.

Type: Article
Title: Observer-Based Fuzzy Integral Sliding Mode Control For Nonlinear Descriptor Systems
Open access status: An open access version is available from UCL Discovery
DOI: 10.1109/TFUZZ.2018.2802458
Publisher version: https://doi.org/10.1109/TFUZZ.2018.2802458
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: Observer-based stabilization, T-S fuzzy descriptor systems, integral sliding mode control, mechanical systems
UCL classification: 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: http://discovery.ucl.ac.uk/id/eprint/10044422
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