DYNAMICAL ANALYSIS OF GLOBAL OBSERVABILITY PROPERTIES FOR A CLASS OF BIOLOGICAL REACTORS

The observability properties of a 3-D aerobic biological reactor are analyzed in a general global sense. Using basic definitions of indistinguishability observability and detectability a recently developed method is used to determine a dynamical representation of all possible indistinguishable trajectories of the model for the reactor class. This dynamics is analyzed for the representative case of a non-monotonic Haldane-type kinetics law. It is shown that the reactor model is not observable. Nevertheless, using the theory of asymptotic autonomous systems it is shown that the system is detectable under practically reasonable conditions.