Model reduction and control of distributed parameter processes

Mathematical models that describe distributed parameter systems are composed of systems of partial differential and algebraic equations (PDAEs). The solution of these systems are usually a high order (infinite dimensional) model. For controller synthesis and due to practical considerations, a reduced-order model (finite) is preferred. The work addresses the development of reduced-order, finite dimensional models by proposing to use multi-resolution methods that not only provide a control-relevant model but also yield a representation of the system´s multi-scale and local behavior