T. T. Lee، نويسنده , , F. Y. Wang، نويسنده , , A. Islam and R. B. Newell، نويسنده ,

1384489

Robust model-order reduction of complex biological processes

11453

This paper addresses robust model-order reduction of a high dimensional nonlinear partial differential equation (PDE) model of a complex biological process. Based on a nonlinear, distributed parameter model of the same process which was validated against experimental data of an existing, pilot-scale BNR activated sludge plant, we developed a state-space model with 154 state variables in this work. A general algorithm for robustly reducing the nonlinear PDE model is presented and based on an investigation of five state-of-the-art model-order reduction techniques, we are able to reduce the original model to a model with only 30 states without incurring pronounced modelling errors. The Singular perturbation approximation balanced truncating technique is found to give the lowest modelling errors in low frequency ranges and hence is deemed most suitable for controller design and other real-time applications.

807

singular perturbation approximation , Model-order reduction , BNR activated sludge process , Hankel singular values

Studia Iranica

821

821