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Flexible symbolic-numerical equational-based dynamic process modelling with model parameter adaptation

 
: Lisounkin, A.; Mühlhäußer, M.

Breitenecker, F.; Husinsky, I.:
EUROSIM '95. Simulation Congress. Proceedings : Vienna, Austria, 11 - 15 September 1995
Amsterdam: Elsevier, 1995
ISBN: 0-444-82241-0
EUROSIM <5, 1995, Wien>
Englisch
Konferenzbeitrag
Fraunhofer IPK ()
automated plant simulation; data field; dynamic model; identification; process industry; symbolic calculation

Abstract
Nonlinear differential equation systems are used to describe dynamic processes in the process industry. These equation systems hold both nonlinear analytical terms and numerical approximations of partially very complex physical dependencies between the individual system components, which can be descibed via data fields and approximated by splines. In the course of simulation, the cost functional, control functions and model parameter to compute are defined interactively. The symbolic analysis consists of the local representation of the dynamical model, the corresponding adjoint system, the so-called Hamiltonian function and finally, the multi-point boundary value problem for calculation of the cost functional variation. In the optimization procedure, the adapted numerical algorithms to calculate the values of the cost functional and its variation is automatically generated based on the symbolic representation of the boundary value problem. This procedure also includes criterias to sele ct accuracy of the numerical algorithms needed to get the solution with predefined precision.

: http://publica.fraunhofer.de/dokumente/PX-14739.html