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Thismonograph focuses on the mathematical modeling of distributed parameter systemsin which mass/energy transport or wave propagation phenomena occur and whichare described by partial differential equations of hyperbolic type. The case oflinear (or linearized) 2 x 2 hyperbolic systems of balance laws isconsidered, i.e., systems described by two coupled linear partial differentialequations with two variables representing physical quantities, depending onboth time and one-dimensional spatial variable.
Basedon practical examples of a double-pipe heat exchanger and a transportationpipeline, two typical configurations of boundary input signals are analyzed: collocated, wherein both signals affect the system at the samespatial point, and anti-collocated, inwhich the input signals are applied to the two different end points of thesystem.
Theresults of this book emerge from the practical experience of the author gainedduring his studies conducted in the experimental installation of a heatexchange center as well as from his research experience in the field of mathematicaland computer modeling of dynamic systems. The book presents valuable resultsconcerning their state-space, transfer function and time-domain representations,which can be useful both for the open-loop analysis as well as for theclosed-loop design.
Thebook is primarily intended to help professionals as well as undergraduate andpostgraduate students involved in modeling and automatic control of dynamicsystems.
List of contents
Introduction.- Hyperbolic Systems of Balance Laws.- State-space Representation.- Transfer Function Representation.- Constant Steady-state Analysis.- Time-domain Representation.- PCA-based Approximation.- Conclusions and Future Works.
Summary
This
monograph focuses on the mathematical modeling of distributed parameter systems
in which mass/energy transport or wave propagation phenomena occur and which
are described by partial differential equations of hyperbolic type. The case of
linear (or linearized) 2 x 2 hyperbolic systems of balance laws is
considered, i.e., systems described by two coupled linear partial differential
equations with two variables representing physical quantities, depending on
both time and one-dimensional spatial variable.
Based
on practical examples of a double-pipe heat exchanger and a transportation
pipeline, two typical configurations of boundary input signals are analyzed: collocated, wherein both signals affect the system at the same
spatial point, and anti-collocated, in
which the input signals are applied to the two different end points of the
system.
The
results of this book emerge from the practical experience of the author gained
during his studies conducted in the experimental installation of a heat
exchange center as well as from his research experience in the field of mathematical
and computer modeling of dynamic systems. The book presents valuable results
concerning their state-space, transfer function and time-domain representations,
which can be useful both for the open-loop analysis as well as for the
closed-loop design.
The
book is primarily intended to help professionals as well as undergraduate and
postgraduate students involved in modeling and automatic control of dynamic
systems.
