We design feedback controllers for two species chemostats so that an equilibrium with arbitrary prescribed positive species concentrations becomes globally asymptotically stable. We use a new global explicit strict Lyapunov function construction, which allows us to quantify the effects of disturbances using the input-to-state stability paradigm.We assume that only a linear combination of the species concentrations is known. We illustrate our approach using a numerical example. © 2009, IEEE. All rights reserved.
Publication Source (Journal or Book title)
IEEE Transactions on Automatic Control
Mazenc, F., Malisoff, M., & Harmand, J. (2009). Stabilization in a Two-Species Chemostat With Monod Growth Functions. IEEE Transactions on Automatic Control, 54 (4), 855-861. https://doi.org/10.1109/TAC.2008.2010964