EIGENVALUE INCLUSION FOR MODEL APPROXIMATIONS TO DISTRIBUTED PARAMETER-SYSTEMS

The impact of model order reduction on the dynamics of open-loop and closed-loop processes is studied. The concept of eigenvalue inclusion regions (EIR) is utilized to assess the practicality of finite-order models for distributed parameter systems (DPS) such as tubular reactors. It is demonstrated that the EIRs account for the neglected modes of the process and give indications as to the dominance of the models retained in the finite-order model. A simulation study illustrates the computation of EIRs and investigates the significance and the restrictions of the methodology.