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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

2013

tom 23

nr 3

539-556

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.

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An integrodifferential approach to modeling, control, state estimation and optimization for heat transfer systems

88%

Rauh A., Senkel L., Aschemann H., Saurin V., Kostin G.

International Journal of Applied Mathematics and Computer Science

2016

tom 26

nr 1

15-30

In this paper, control-oriented modeling approaches are presented for distributed parameter systems. These systems, which are in the focus of this contribution, are assumed to be described by suitable partial differential equations. They arise naturally during the modeling of dynamic heat transfer processes. The presented approaches aim at developing finitedimensional system descriptions for the design of various open-loop, closed-loop, and optimal control strategies as well as state, disturbance, and parameter estimation techniques. Here, the modeling is based on the method of integrodifferential relations, which can be employed to determine accurate, finite-dimensional sets of state equations by using projection techniques. These lead to a finite element representation of the distributed parameter system. Where applicable, these finite element models are combined with finite volume representations to describe storage variables that are-with good accuracy-homogeneous over sufficiently large space domains. The advantage of this combination is keeping the computational complexity as low as possible. Under these prerequisites, real-time applicable control algorithms are derived and validated via simulation and experiment for a laboratory-scale heat transfer system at the Chair of Mechatronics at the University of Rostock. This benchmark system consists of a metallic rod that is equipped with a finite number of Peltier elements which are used either as distributed control inputs, allowing active cooling and heating, or as spatially distributed disturbance inputs.

Ograniczanie wyników

2 International Journal of Applied Mathematics and Computer Science

2 Aschemann H.

2 Rauh A.

1 Butt S.

1 Kostin G.

1 Saurin V.

1 Senkel L.

1 2016

1 2013

Wyniki wyszukiwania

Nonlinear state observers and extended Kalman filters for battery systems

An integrodifferential approach to modeling, control, state estimation and optimization for heat transfer systems