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Nonlinear state observers and extended Kalman filters for battery systems

100%
Rauh A., Butt S., Aschemann H.
International Journal of Applied Mathematics and Computer Science
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2013
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tom 23
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nr 3
539-556
EN
The focus of this paper is to develop reliable observer and filtering techniques for finite-dimensional battery models that adequately describe the charging and discharging behaviors. For this purpose, an experimentally validated battery model taken from the literature is extended by a mathematical description that represents parameter variations caused by aging. The corresponding disturbance models account for the fact that neither the state of charge, nor the above-mentioned parameter variations are directly accessible by measurements. Moreover, this work provides a comparison of the performance of different observer and filtering techniques as well as a development of estimation procedures that guarantee a reliable detection of large parameter variations. For that reason, different charging and discharging current profiles of batteries are investigated by numerical simulations. The estimation procedures considered in this paper are, firstly, a nonlinear Luenberger-type state observer with an offline calculated gain scheduling approach, secondly, a continuous-time extended Kalman filter and, thirdly, a hybrid extended Kalman filter, where the corresponding filter gains are computed online.
2
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Integrated design of observer based fault detection for a class of uncertain nonlinear systems

100%
Chen W., Khan A., Abid M., Ding S.
International Journal of Applied Mathematics and Computer Science
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2011
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tom 21
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nr 3
423-430
EN
Integrated design of observer based Fault Detection (FD) for a class of uncertain nonlinear systems with Lipschitz nonlinearities is studied. In the context of norm based residual evaluation, the residual generator and evaluator are designed together in an integrated form, and, based on it, a trade-off FD system is finally achieved in the sense that, for a given Fault Detection Rate (FDR), the False Alarm Rate (FAR) is minimized. A numerical example is given to illustrate the effectiveness of the proposed design method.
3
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Nonlinear diagnostic filter design: algebraic and geometric points of view

86%
Shumsky A., Zhirabok A.
International Journal of Applied Mathematics and Computer Science
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2006
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tom 16
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nr 1
115-127
EN
The problem of diagnostic filter design is studied. Algebraic and geometric approaches to solving this problem are investigated. Some relations between these approaches are established. New definitions of fault detectability and isolability are formulated. On the basis of these definitions, a procedure for diagnostic filter design is given in both algebraic and geometric terms.
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