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Modeling and Analysis of Linear Hyperbolic Systems of Balance Laws (Hardcover, 1st ed. 2016)
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Modeling and Analysis of Linear Hyperbolic Systems of Balance Laws (Hardcover, 1st ed. 2016)
Series: Studies in Systems, Decision and Control, 48
Expected to ship within 12 - 17 working days
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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.
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