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.
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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 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/10044422 |
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