(en) We address the issue of minimal time optimal control of fed-batch reactor in presence of complex non monotonic kinetics. Several extremal paths with singular arcs can be locally optimal. We show how a regularization technique can help determining the optimal synthesis, based on a numerical approach.
Rapaport, A., & Dochain, D. (2010). Minimal time control of fed-batch processes for growth functions with several maxima. IFAC Symposia Series, 43(6), 96-101. https://hdl.handle.net/2078.5/59481 (Original work published 2010)