Robust H∞ sliding mode observer design for a class of Takagi–Sugeno fuzzy descriptor systems with time-varying delay

This paper focuses on the problem of robust H∞ sliding mode observer (SMO) design for a class of Takagi–Sugeno (T–S) fuzzy descriptor systems with time-varying delay. A SMO is designed by taking the control input and the measured output into account. Then a novel integral-type sliding surface, which...

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Bibliographic Details
Published in:Applied mathematics and computation 2018-11, Vol.337, p.158-178
Main Authors: Li, Rongchang, Zhang, Qingling
Format: Article
Language:English
Subjects:
H∞ performance
Integral-type sliding surface
Linear matrix inequality (LMI)
Sliding mode observer
Takagi–Sugeno fuzzy descriptor systems
Time-varying delay
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Summary:This paper focuses on the problem of robust H∞ sliding mode observer (SMO) design for a class of Takagi–Sugeno (T–S) fuzzy descriptor systems with time-varying delay. A SMO is designed by taking the control input and the measured output into account. Then a novel integral-type sliding surface, which involves the SMO gain matrix, is constructed for the error system. By using an appropriate Lyapunov–Krasovskii functional, a delay-dependent sufficient condition is established in terms of linear matrix inequality (LMI), which guarantees the sliding mode dynamic to be robustly admissible with H∞ performance and determines the SMO gain matrix. Moreover, a sliding mode control (SMC) law is synthesized such that the reachability can be ensured. Finally, simulations are presented to show the effectiveness of our results.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2018.05.008