An Approach to Interval Observers for Takagi-Sugeno Systems with Attractiveness Guarantees

Hiroshi Ito (1) , Thach Ngoc Dinh (2)

1 Kyutech - Kyushu Institute of Technology
2 CEDRIC - LAETITIA - CEDRIC. Traitement du signal et architectures électroniques

This paper proposes a method to design interval observers for nonlinear systems by making use of the Takagi-Sugeno fuzzy model. The Takagi-Sugeno model has properties which general nonlinear systems do not posses. This paper demonstrates how such properties allow interval observers to handle nonlinearities in unmeasured variables. Instead of computing some intervals only, this paper puts emphasis on clarifying guarantees the observer can provide for a reasonable length of computed intervals in terms of convergence and attractiveness.

Keywords: Interval observers; Takagi-Sugeno fuzzy model; Polytypic systems; State estimation

Domains: Engineering Sciences [physics]; Automatic

Hiroshi Ito, Thach Ngoc Dinh. An Approach to Interval Observers for Takagi-Sugeno Systems with Attractiveness Guarantees. 2019 58th Annual Conference of the Society of Instrument and Control Engineers of Japan (SICE), Sep 2019, Hiroshima, Japan. pp.1268-1273, ⟨10.23919/SICE.2019.8859956⟩. ⟨hal-02434059⟩