Sampled-data feedback stabilization of age-structured chemostat models
We solve a problem of stabilizing an arbitrary equilibrium age profile in an age-structured chemostat. The model is a first-order hyperbolic partial differential equation, with the dilution rate as the control. Our sampled-data feedback ensures stabilization, with arbitrarily sparse sampling. Since the sampling control takes all of its values in a pre-specified bounded interval, we satisfy input constraints. The feedback does not require exact knowledge of the model, nor does it require measurement of the whole age profile.
Publication Source (Journal or Book title)
Proceedings of the American Control Conference
Karafyllis, I., Malisoff, M., & Krstic, M. (2015). Sampled-data feedback stabilization of age-structured chemostat models. Proceedings of the American Control Conference, 2015-July, 4549-4554. https://doi.org/10.1109/ACC.2015.7172045