On the state estimation for nonlinear continuous-time fuzzy systems

• Autorzy: Delmotte Francois , Hammami Mohamed Ali , Rettab Nour El Houda

Identyfikatory

DOI

10.24425/acs.2022.140864

• Języki publikacji: EN

Abstrakty

EN

A large class of nonlinear systems can be represented or well approximated by Takagi-Sugeno (TS) fuzzy models, which in theory can approximate a general nonlinear system to an arbitrary degree of accuracy. The TS fuzzy model consists of a fuzzy rule base. The rule antecedents partition a given subspace of the model variables into fuzzy regions, while the consequent of each rule is usually a linear or affine model, valid locally in the corresponding region. In this paper, the observer design problem for a T-S fuzzy system subject to Lypschitz perturbation is investigated. First, an observer of Kalman type is designed to estimate the unknown system states. Then, the class of one-sided Lipschitz for a TS fuzzy system subject to a sufficient condition on the bound is studied. The challenges are discussed and some analysis oriented tools are provided. An example is given to show the applicability of the main result.

Słowa kluczowe

EN

fuzzy systems; Lipschitz analysis; observer design

• Wydawca: Polish Academy of Sciences, Committee of Automatic Control and Robotics
• Czasopismo: Archives of Control Sciences
• Rocznik: 2022
• Tom: Vol. 32, No. 1
• Strony: 57--72
• Opis fizyczny: Bibliogr. 23 poz., wzory

Twórcy

autor

Delmotte Francois

• University of Artois, Bethune, France

autor

Hammami Mohamed Ali

• University of Sfax, Faculty of Sciences of Sfax, Tunisia

autor

Rettab Nour El Houda

• University of Sfax, Faculty of Sciences of Sfax, Tunisia

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023)