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Interval Methods for Robust Sliding Mode Control Synthesis of High-Temperature Fuel Cells with State and Input Constraints

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Variable-Structure Approaches

Part of the book series: Mathematical Engineering ((MATHENGIN))

Abstract

Fuel cell systems provide a way to produce electric energy in future decentralized power supply grids. In the case of using high-temperature fuel cells, it becomes possible to exploit not only the provided electric power but also the process heat in order to maximize the overall system efficiency. However, the efficiency maximization goes along with a high flexibility with respect to temporal variations of the electric power that is demanded by corresponding consumers. Such power variations impose restrictions on intelligent fuel cell control systems. Such control strategies do not only have to make sure that the supplied fuel gas (typically hydrogen and mixtures with methane or carbon monoxide) is stoichiometrically balanced with the demanded electric power. It is also inevitable to control the fuel cell itself from a thermodynamic point of view. This control has to make sure that sufficiently smooth temperature trajectories can be tracked during the heating phase of the system and that a priori unknown but bounded disturbances are robustly compensated at high-temperature operating points. For this purpose, interval-based sliding mode control procedures can be implemented. This contribution gives an overview of how interval methods can be combined with the fundamental sliding mode methodology in a variable-structure control synthesis. The efficiency of the presented methods is highlighted for the control of solid oxide fuel cells in various simulations.

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Notes

  1. 1.

    Note that the expression \(\dot{V}^{\langle {\mathrm {A}} \rangle }\) does not explicitly depend on the system input u in any of the applications considered in this chapter.

  2. 2.

    Generalized sliding mode-type control procedures, which do not necessarily rely on a transformation into nonlinear controller canonical form, are, for example, described in [29, 30].

  3. 3.

    This limitation is necessary to guarantee real-time applicability of the adaptation procedure.

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Authors and Affiliations

  1. Chair of Mechatronics, University of Rostock, Justus-von-Liebig-Weg 6, 18059, Rostock, Germany

    Andreas Rauh & Luise Senkel

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  1. Andreas Rauh
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  2. Luise Senkel
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Correspondence to Andreas Rauh .

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  1. Universität Rostock, Rostock, Mecklenburg-Vorpomm., Germany

    Andreas Rauh

  2. Universität Rostock, Rostock, Mecklenburg-Vorpomm., Germany

    Luise Senkel

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Rauh, A., Senkel, L. (2016). Interval Methods for Robust Sliding Mode Control Synthesis of High-Temperature Fuel Cells with State and Input Constraints. In: Rauh, A., Senkel, L. (eds) Variable-Structure Approaches. Mathematical Engineering. Springer, Cham. https://doi.org/10.1007/978-3-319-31539-3_3

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  • DOI: https://doi.org/10.1007/978-3-319-31539-3_3

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