Open-loop dynamic optimization for nonlinear multi-input systems
Keywords:Bioreactors, Nonlinear system, Fourier series, Trajectory optimization, bioreactors, Nonlinear System, Fourier Series, trajectory optimization
This paper proposes a novel strategy for dynamic open-loop optimization of multivariable nonlinear systems. The methodology is based on the Fourier series and orthonormal polynomials for the control vector parameterization in a sequential direct solution approach. The advantages of this technique are that a few number of parameters is required for optimization and a smooth control profile is obtained. The proposed strategy is evaluated in the case study of recombinant protein production, which is a nonlinear system with two control actions, the substrate, and inhibitor feed flow rate. The algorithms are tested through simulations and the results are compared with those published in the bibliography.