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

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Authors

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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.