Conclusion

In this book, a new philosophy to approach problems of modeling, control and design of distributed parameter systems in a tutorial style has been presented. A wide community of professional readers has been intended to be addressed. New technical terminology has been introduced for a class of distributed parameter systems – the lumped-input/distributed-output systems.

The lumped-input/distributed-output systems theory represents a new idea in both, the system and control theory. Introduction of this new approach has been strongly motivated by the fact that distributed systems operating in engineering practice can take very often the structure of lumped-input/distributed-output systems.

This new approach offers a guide to the synthesis of results achieved before in various theoretical fields, i.e. function approximation, partial differential equations, lumped parameter systems, etc. It forms a frame for formulation and solution of engineering problems in distributed parameter systems modeling, control and design. The demonstration part of this monograph presents large variety of engineering problems’ solutions using the MATLAB application software package with appropriate toolboxes and functions.

At the end let us outline the importance of the new strategy of DPS control for engineering practise in wider context.

In designing machines and equipment in various engineering fields, laws of matter motion over complex definition areas are generally used. In modern technical branches, the matter motion is considered in the form of controlled process. This control process has mainly been conducted in lumped form, i.e. the matter motion has been considered in general as a time-dependent process with no regard to spatial dependence.

However, the latest scientific results offer to engineering practice the laws of the matter motion in both, time and spatial domains. These laws offer sophisticated methods of analytical modeling, modeling on the basis of FEM formulation, large possibilities of measurement, camera tomography methods, etc. These methods are widely used for interpretation of dynamics of various technical objects and for simulation of their operating regimes. However, a really effective use of this methodology can be achieved only when this time-space matter motion over complex definition areas takes place in engineering practice as a controlled process with distributed parameters.

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Therefore, the authors consider as one of the main contributions of this monograph that it offers to the engineering community the use of controlled time-space, distributed parameter, matter motion for the design of machines and equipment of new generation – the technology of the future millennium.