Applying the extended Kalman filter to systems described by nonlinear differential-algebraic equations |
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| Affiliation: | 1. Department of Cybernetics, University of Reading, P.O. Box 225, Whiteknights, Reading, Berkshire RG6 2AY, UK;2. City University, London, Control Engineering Research Centre, Northampton Square, London EC1V 0HB, UK;3. AspenTech Ltd., Castle Park, Cambridge CB3 OAX, UK;1. IBISC Paris Saclay University Paris, France;2. University of Jordan, Amman, Jordan;3. Concordia University, Montreal, Canada;4. Efficacity Institute Champs-sur-Marne, France |
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| Abstract: | 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. |
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