Limiting State Estimation of Switched Interval Systems with Metzler-Takagi-Sugeno Models

Dusan Krokavec; Anna Filasova

doi:10.52846/stccj.2022.2.2.41

Authors

Dusan Krokavec Technical University of Kosice
Anna Filasova

DOI:

https://doi.org/10.52846/stccj.2022.2.2.41

Keywords:

Takagi-Sugeno models, switched systems, Metzler systems, parametric constraints, interval observer design.

Abstract

The paper deals with interval observer design for fuzzy switched positive systems. The systems are represented by the Takagi-Sugeno fuzzy models, with premise variables depending on a measurable part of the state vector. Stability conditions for the proposed interval observer structure are formulated via linear matrix inequalities to ensure nonnegative system state estimation. The proposed method allows to compute the lower and upper bounds of the system state under the assumption that the system disturbance are bounded. The properties of proposed approach are illustrated in numerical example.

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