Lower triangle factor based sliding mode observers design for T-S fuzzy systems with faults

Sheng-Juan Huang; Liang-Dong Guo; Li-Bing Wu; Peng Huang

doi:10.1016/j.isatra.2022.05.041

Lower triangle factor based sliding mode observers design for T-S fuzzy systems with faults

ISA Trans. 2023 Jan:132:346-352. doi: 10.1016/j.isatra.2022.05.041. Epub 2022 Jun 6.

Authors

Sheng-Juan Huang¹, Liang-Dong Guo², Li-Bing Wu³, Peng Huang⁴

Affiliations

¹ School of Sciences, University of Science and Technology Liaoning, Anshan 114051, China. Electronic address: hshj1113@ustl.edu.cn.
² School of Sciences, University of Science and Technology Liaoning, Anshan 114051, China. Electronic address: ldguo@ustl.edu.cn.
³ School of Sciences, University of Science and Technology Liaoning, Anshan 114051, China. Electronic address: libingwu@ustl.edu.cn.
⁴ Guangxi Medical College, Nanning 530000, China. Electronic address: hshj1113@ustl.edu.cn.

PMID: 35715270
DOI: 10.1016/j.isatra.2022.05.041

Abstract

The paper mainly focuses on the fault estimation for a class of Takagi-Sugeno (T-S) fuzzy systems with faults. A synthetic estimation observer design method is proposed. The synthetic estimation observer can cover the robust observer, adaptive observer and intermediate estimation observer in the existing study work. Based on the observer design method, an LTF-based sliding mode observer (SMO) is designed for the T-S fuzzy system in consideration. Under the observer, the fault occurring in the system can be well estimated. The obtained LMI-based conditions guarantee the states of the error dynamics to be uniformly ultimately bounded. A numerical example tests the proposed method.

Keywords: Fault estimation; Linear matrix inequality (LMI); Lower triangle factor (LTF) based linear transformation; Sliding mode observer; Takagi–Sugeno (T–S) fuzzy systems.