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Paul-Erik Haacker

M.Sc.

Institut für Nichtlineare Mechanik

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+49 711 685 66209
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Pfaffenwaldring 9
70569 Stuttgart
Deutschland
Raum: 3.125

Publikationen

Haacker, P., Karafyllis, I., Krstić, M., & Diagne, M. (2024). Stabilization of age‐structured chemostat hyperbolic PDE with actuator dynamics. International Journal of Robust and Nonlinear Control. https://doi.org/10.1002/rnc.7181
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BibTeX
@article{Haacker&Krstic_2024, abstract = {For population systems modeled by age-structured hyperbolic partial differential equations (PDEs), we redesign the existing feedback laws, designed under the assumption that the dilution input is directly actuated, to the more realistic case where dilution is governed by actuation dynamics (modeled simply by an integrator). In addition to the standard constraint that the population density must remain positive, the dilution dynamics introduce constraints of not only positivity of dilution, but possibly of given positive lower and upper bounds on dilution. We present several designs, of varying complexity, and with various measurement requirements, which not only ensure global asymptotic (and local exponential) stabilization of a desired positive population density profile from all positive initial conditions, but do so without violating the constraints on the dilution state. To develop the results, we exploit the relation between first-order hyperbolic PDEs and an equivalent representation in which a scalar input-driven mode is decoupled from input-free infinite-dimensional internal dynamics represented by an integral delay system.}, author = {Haacker, Paul‐Erik and Karafyllis, Iasson and Krstić, Miroslav and Diagne, Mamadou}, doi = {10.1002/rnc.7181}, journal = {International Journal of Robust and Nonlinear Control}, month = {01}, publisher = {Wiley}, title = {Stabilization of age‐structured chemostat hyperbolic PDE with actuator dynamics}, url = {http://dx.doi.org/10.1002/rnc.7181}, year = 2024 }
Link
http://dx.doi.org/10.1002/rnc.7181

Paul-Erik Haacker

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