Reference : A Decoupling Approach to Design Observers for Polytopic Takagi-Sugeno Models Subject ...
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Security, Reliability and Trust
A Decoupling Approach to Design Observers for Polytopic Takagi-Sugeno Models Subject to Unknown Inputs
Bezzaoucha, Souad mailto [University of Luxembourg > Interdisciplinary Centre for Security, Reliability and Trust (SNT) > >]
Voos, Holger mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit >]
Davila, Jorge [Instituto Politecnico Nacional, Mexico]
Bejarano, Javier [Instituto Politecnico Nacional, Mexico]
Proceedings of the 2018 American Control Conference
2018 American Control Conference
from 27-06-2018 to 29-06-2018
[en] A decoupling approach for state estimation of nonlinear systems represented in the polytopic Takagi-Sugeno with unmeasurable premise variables subject to unknown inputs is
proposed in this paper. The idea consists in defining a state and unknown input transformations in order to divide the state vector into two parts, a measurable part and an observable one
(decoupled from the unknown input). A classical Luenberger observer to estimate the unmeasurable part is then designed and given in terms of Linear Matrix Inequalities (LMIs) conditions.
A numerical example is also presented in order to illustrate the
proposed approach.

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