Applying the extended Kalman filter to systems described by nonlinear differential-algebraic equationsBecerra, V. M., Roberts, P. D. and Griffiths, G. W. (2001) Applying the extended Kalman filter to systems described by nonlinear differential-algebraic equations. Control Engineering Practice, 9 (3). pp. 267-281. ISSN 0967-0661 Full text not archived in this repository. It is advisable to refer to the publisher's version if you intend to cite from this work. See Guidance on citing. To link to this item DOI: 10.1016/S0967-0661(00)00110-6 Abstract/SummaryThis paper describes a method for the state estimation of nonlinear systems described by a class of differential-algebraic equation models using the extended Kalman filter. The method involves the use of a time-varying linearisation of a semi-explicit index one differential-algebraic equation. The estimation technique consists of a simplified extended Kalman filter that is integrated with the differential-algebraic equation model. The paper describes a simulation study using a model of a batch chemical reactor. It also reports a study based on experimental data obtained from a mixing process, where the model of the system is solved using the sequential modular method and the estimation involves a bank of extended Kalman filters.
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