On controllability, parametrization, and output tracking of alinearized bioreactor model

[摘要] The paper deals with a distributed parameter system related to theso-called fixed-bed bioreactor. The original nonlinear partial differential system is linearized around the steady state. We find that the linearized system is not exactly controllable but it is approximatively controllable when certainalgebraic equations hold. We apply frequency-domain methods (transfer function analysis) to consider a related output tracking problem. The input-output system can be formulated as a translation invariant pseudodifferential equation. A simulation shows that the calculation scheme is stable. An idea to usefrequency-domain methods and certain pseudodifferential operatorsfor parametrization of control systems of more general systems ispointed out.

[学科分类] 应用数学