Journal
AUTOMATICA
Volume 45, Issue 1, Pages 291-295Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.automatica.2008.07.006
Keywords
Interval observers; Bounded error observers; Uncertain systems; Wastewater treatment
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In this paper we design an interval observer for the estimation of unmeasured variables of uncertain bioreactors. The observer is based on a bounded error observer, as proposed in [Lemesle, V., & Gouze, J.-L. (2005). Hybrid bounded error observers for uncertain bioreactor models. Bioprocess and Biosystems Engineering,27,311-318], that makes use of a loose approximation of the bacterial kinetics. We first show how to generate guaranteed tipper and lower bounds on the state, provided that known intervals for the initial condition and the uncertainties are available. These so-called framers depend on a tuning gain, They can be run in parallel and the envelope provides the best estimate. An optimality criterion is introduced leading to the definition of an optimal observer. We show that this criterion provides directly a gain set containing the best framers. The method is applied to the estimation of the total biomass of an industrial wastewater treatment plant, demonstrating its efficiency. (C) 2008 Published by Elsevier Ltd
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