Wavelet-based Model Reduction of Breakage Processes
نویسندگان
چکیده
Mathematical models of breakage processes are composed of partial integro-differential equations. For process optimisation and controller synthesis, a low-order model is preferred. A wavelet-based model reduction procedure is proposed. A multi-resolution (wavelet) approach is employed to achieve a set of high-order ordinary differential equations. A procedure which is motivated by the theory of singular perturbation is then proposed for the construction of approximate inertial manifold. The dominant behaviour is found from a multi-scale decomposition. The proposed technique has been tested for two typical case studies. In both cases, the predicted and analytical particle size distributions are in excellent agreement. Copyright © 2004 IFAC
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