Abstract
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.
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