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Replica of an Advanced Takagi-Sugeno discrete observer without matrix inversion

Abstract : This paper aims to present a systematic methodology for designing a Replica of an Advanced Takagi-Sugeno (RATS) discrete observer. Advance observers for nonlinear systems under Takagi-Sugeno representation have been designed for years using efficient structure such as non-PDC (Parallel Distributed Compensation), which it is powerful and, in some cases, it is the only observer able to estimate an unknown value. However, in spite of these advantages, this observer strategy presents an inconvenient: The use of matrix inversion. This paper will present the RATS observer which is equivalent an observer using the non-PDC structure without matrix inversion. By a stability analysis, not only the efficiency is proved but also its validity. Finally, some simulation results will emphasize the originality and the power of the proposed RATS observer
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https://hal-uphf.archives-ouvertes.fr/hal-03669927
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Submitted on : Tuesday, May 17, 2022 - 9:55:44 AM
Last modification on : Wednesday, May 18, 2022 - 3:40:16 AM

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Thomas Laurain, Jimmy Lauber, Reinaldo Martinez Palhares. Replica of an Advanced Takagi-Sugeno discrete observer without matrix inversion. 2016 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), Jul 2016, Vancouver, Canada. pp.2206-2211, ⟨10.1109/FUZZ-IEEE.2016.7737967⟩. ⟨hal-03669927⟩

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