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Distributed parameter systems (DPS) are systems with state/output quantities X(x,t) /Y(x,t) – parameters which are defined as quantity fields or infinite dimensional quantities distributed through geometric space, where x – in general is a vector of the three dimensional Euclidean space. Thanks to the development of information technology and numerical methods, engineering practice is lately modelling a wide range of phenomena and processes in virtual software environments for numerical dynamical analysis purposes such as ANSYS www.ansys.com, FLUENT (ANSYS Polyflow) www.fluent.com , ProCAST www.esi-group.com/products/casting/, COMPUPLAST – www.compuplast.com, SYSWELD – www.esi-group.com/products/welding, COMSOL Multiphysics www.comsol.com, MODFLOW, MODPATH,... www.modflow.com , STAR-CD www.cd-adapco.com, MOLDFLOW www.moldflow.com, ... Based on the numerical solution of the underlying partial differential equations (PDE) these virtual software environments offer colorful, animated results in 3D. Numerical dynamic analysis problems are solved both for technical and non-technical disciplines given by numerical models defined in complex 3D shapes. From the viewpoint of systems and control theory these dynamical models represent DPS. A new challenge emerges for the control engineering practice, which is the objective to formulate control problems for dynamical systems defined as DPS through numerical structures over complex spatial structures in 3D. The main emphasis of this chapter is to present a philosophy of the engineering approach for the control of DPS given by numerical structures, which opens a wide space for novel applications of the toolboxes and blocksets of the MATLAB & Simulink software environment presented here.

Control of Distributed Parameter Systems - Engineering Methods and Software Support in the MATLAB & Simulink Programming Environment