Wavelet-based model reduction of distributed parameter systems

摘要

Mathematical models that describe parameter systems are composed of systems of partial differential and algebraic equations. The methods that solve these systems usually yield a high-order (infinite-dimensional) solutions. However, for controller synthesis and practical considerations, a low-order model is preferred. This work addresses the development of model reduction through the use of multi-resolution methods that the only yield a finite low-order model but also a representation of the system's multiscale and local behavior such that scale-specific compensation can be realized. Two systems -heat transfer along a flat metal plate, and a packed-bed reactor with axial dispersion are used to demonstrate the proposed approach.