Publication
Robust unknown input observer for state and fault estimation in discrete-time Takagi-Sugeno systems
Journal Article (2016)
Journal
International Journal of Systems Science
Pages
3409-3424
Volume
47
Number
14
Doc link
http://dx.doi.org/10.1080/00207721.2016.1165898
File
Authors
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Rotondo, Damiano
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Witczakc, Marcin
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Puig Cayuela, Vicenç
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Nejjari Akhi-Elarab, Fatiha
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Pazera, Marcin
Projects associated
Abstract
In this paper, a robust unknown input observer (UIO) for the joint state and fault estimation in discrete-time Takagi-Sugeno (TS) systems is presented. The proposed robust UIO, by applying the H1 framework, leads to a less restrictive design procedure with respect to recent results found in the literature. The resulting design procedure aims at achieving a prescribed attenuation level with respect to the exogenous disturbances, while obtaining at the same time the convergence of the observer with a desired bound on the decay rate. An extension to the case of unmeasurable premise variables is also provided. Since the design conditions reduce to a set of linear matrix inequalities (LMIs), that can be solved efficiently using the available software, an evident advantage of the proposed approach is its simplicity. The final part of the paper presents an academic example and a real application to a multi-tank system, which exhibit clearly the performance and effectiveness of the proposed strategy.
Categories
control theory.
Scientific reference
D. Rotondo, M. Witczakc, V. Puig, F. Nejjari and M. Pazera. Robust unknown input observer for state and fault estimation in discrete-time Takagi-Sugeno systems. International Journal of Systems Science, 47(14): 3409-3424, 2016.
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