Abstract
This technical note studies the global output feedback stabilization problem for a chemostat with an arbitrary number of species competing for a single nutrient source. It is shown that coexistence can be achieved by means of a feedback control of the substrate input concentration and an appropriate choice of a constant dilution rate. The input substrate feedback controller proposed is a dynamic time-varying output feedback, with the substrate concentration considered as the output. The result relies on the construction of a novel nonlinear observer and is established via a Lyapunov-based proof.
Original language | English (US) |
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Article number | 5512615 |
Pages (from-to) | 2570-2575 |
Number of pages | 6 |
Journal | IEEE Transactions on Automatic Control |
Volume | 55 |
Issue number | 11 |
DOIs | |
State | Published - Nov 2010 |
Keywords
- Chemostats
- output feedback
- stabilization
ASJC Scopus subject areas
- Control and Systems Engineering
- Computer Science Applications
- Electrical and Electronic Engineering