Applying the extended Kalman filter to systems described by nonlinear differential-algebraic equations
Becerra, 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
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To link to this article DOI: 10.1016/S0967-0661(00)00110-6
This 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.