Abstract
We optimize a general model of bioprocesses, which is nonconvex due to the microbial growth in the biochemical reactors. We formulate a convex relaxation and give conditions guaranteeing its exactness in both the transient and steady-state cases. When the growth kinetics are modeled by the Contois or, under constant biomass, Monod or Powell functions, the relaxation is a second-order cone program, which can be solved efficiently at large scales. We implement the model on a numerical example based on a wastewater treatment system.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 4932-4938 |
| Number of pages | 7 |
| Journal | IEEE Transactions on Automatic Control |
| Volume | 67 |
| Issue number | 9 |
| DOIs | |
| State | Published - Sep 1 2022 |
| Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Control and Systems Engineering
- Computer Science Applications
- Electrical and Electronic Engineering
Keywords
- Bioprocess
- compartmental system
- convex relaxation
- second-order cone programming (SOCP)
- wastewater treatment