Summary
This work applies the quasi-LPV technique to the design of robust observers for a class of bioreactors. The system nonlinearities are modeled in terms of two time varying parameter vectors, θ(t) and δ(t). The vector θ(t) contains all nonlinear terms that are only function of the measurements, whereas the remaining terms are lumped into the vector δ(t). Then, a θ(t) parameter-dependent Luenberger-like observer is proposed, where the design conditions are given in terms of linear matrix inequality constraints. These conditions ensure regional stability w.r.t. to a set of admissible initial conditions and also minimizes an upper-bound on the L 2-gain of the error system. These results are applied to a high cell density bioreator.
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Acknowledgments
This paper presents research results of the Belgian Network DYSCO (Dynamical Systems, Control, and Optimization), funded by the Interuniversity Attraction Poles Programme, initiated by the Belgian Federal Science Policy Office (BELSPO). The scientific responsibility rests with its authors. D. Coutinho has been beneficiary of a post-doc fellowship granted by BELSPO.
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Coutinho, D.F., Vande Wouwer, A. (2010). A Robust H∞ Quasi-LPV Approach for Designing Nonlinear Observers. In: Diehl, M., Glineur, F., Jarlebring, E., Michiels, W. (eds) Recent Advances in Optimization and its Applications in Engineering. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-12598-0_2
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DOI: https://doi.org/10.1007/978-3-642-12598-0_2
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