Off-line identification of yield coefficients in a baker´s yeast bioprocess

The paper presents a distribution based identification procedure for off-line estimation of yield coefficients in a baker´s yeast bioprocess. This procedure is a functional type method, which transforms a differential system of equations to an algebraic system in unknown parameters. The relation between the state variables of the system is represented by functionals using techniques from distribution theory based on testing function from a finite dimensional fundamental space. The main idea of this paper is to use a hierarchical structure of identification, which allows obtaining a linear algebraic system of equations in the unknown parameters. The coefficients of this algebraic system are functionals depending on the input and state variables evaluated through some testing functions from distribution theory. According to the proposed procedure, first, only some state equations are evaluated throughout testing functions to obtain a set of linear equations in some parameters. The results of this first stage of identification are utilized for expressing other parameters by linear equations. This process is repeated until all parameters are identified. The performances of the method are analyzed by some computer simulations.