The process of continuous bioethanol
fermentation often exhibits
strong nonlinear dynamics and tends to generate self-oscillatory-state
trajectories. The aim of this work is to further investigate such
oscillators by coupling with outside periodic forcing, so as to improve
process performance. To that end, several strategies for analyzing
periodically forced self-oscillatory processes are proposed. By periodically
and deliberately forcing an operational parameter, the behavior of
the forced fermentor is investigated using limit cycle bifurcation
analysis. Specifically, periodic doubling and Neimark–Sacker
bifurcations are investigated with limit cycle continuation diagrams.
The limit cycle bifurcation analysis is compared with the simulation-based
methods, such as stroboscopic and maximum bifurcation maps, and it
is shown to be an efficient analysis tool for the periodically forced
self-oscillatory system. Process performance enhancement by designing
the fermentor to be self-oscillatory is also discussed, as well as
the possibility of controlling the oscillatory behavior using external
periodic forcing.