2013/02/13 by Alain Rapaport, Rapaport, Alain, Jan Sieber +5
Chemistry · Engineering · #Advanced Control Systems Optimization #Extremum Seeking Control Systems #FOS: Mathematics #Optimization and Control (math.OC) #thermodynamics and calorimetric analyses
paper · pdf · doi:10.48550/arxiv.1302.3077
openalex publication_date 2013/02/13 · openalex created_date 2022/10/04 · openalex updated_date 2026/07/28
We consider the chemostat model with the substrate concentration as the\nsingle measurement. We propose a control strategy that drives the system at a\nsteady state maximizing the gas production without the knowledge of the\nspecific growth rate. Our approach separates the extremum seeking problem from\nthe feedback control problem such that each of the two subproblems can be\nsolved with relatively simple algorithms. We are then free to choose any\nnumerical optimization algorithm. We give a demonstration for two choices: one\nis based on slow-fast dynamics and numerical continuation, the other is a\ncombination of golden-section and Newton iteration. The method copes with\nnon-monotonic growth functions.\n