Johannes Gerhard, Martin Mönnigmann, Wolfgang Marquardt:
Steady state optimization with guaranteed stability of a tryptophan biosynthesis model
Computers & Chemical Engineering, 2008, 32(12), 2914-2919
In this article we address the steady state design of a nonlinear tryptophan biosynthesis model with guaranteed stability of the optimal solution in the presence of parametric uncertainty. The optimization based approach – denoted constructive nonlinear dynamics (CNLD) – is based on constraints that enforce a minimal distance in the space of the uncertain parameters between a stability boundary and the optimal solution. The results obtained with CNLD are compared to results recently presented by Chang and Sahinidis (2005), where the optimization of the tryptophan biosynthesis model was addressed by a global optimization algorithm. CNLD takes the nonlinearities of the process exactly into account and satisfies the specified robustness criteria without being overly conservative.
optimization, NLP, robust stability, parametric uncertainty, Hopf bifurcation, tryptophan biosynthesis