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

Li, Jinghao, Zhang, Qingling, Yan, Xinggang, Spurgeon, Sarah K. (2018) Observer-Based Fuzzy Integral Sliding Mode Control For Nonlinear Descriptor Systems. IEEE Transactions on Fuzzy Systems, . ISSN 1063-6706. E-ISSN 1941-0034. (doi:10.1109/TFUZZ.2018.2802458)

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http://dx.doi.org/10.1109/TFUZZ.2018.2802458

Abstract

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 ?rst developed to obtain the observer gains and coef?cients 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.

Item Type: Article
DOI/Identification number: 10.1109/TFUZZ.2018.2802458
Uncontrolled keywords: Observer-based stabilization, T-S fuzzy descriptor systems, integral sliding mode control, mechanical systems
Subjects: T Technology
Divisions: Faculties > Sciences > School of Engineering and Digital Arts
Depositing User: Xinggang Yan
Date Deposited: 07 Feb 2018 09:47 UTC
Last Modified: 29 May 2019 20:14 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/65962 (The current URI for this page, for reference purposes)
Yan, Xinggang: https://orcid.org/0000-0003-2217-8398
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