Modeling and Analysis of Linear Hyperbolic Systems of Balance Laws: 48 - Brossura

Bartecki, Krzysztof

Brossura

ISBN 10: 3319801546 ISBN 13: 9783319801544

Casa editrice: Springer, 2018

Riassunto

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.

Su questo libro

Dalla quarta di copertina

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.

Dettagli dell'edizione

• Editore: Springer
• Data di pubblicazione: 2018
• Lingua: Inglese
• ISBN 10: 3319801546
• ISBN 13: 9783319801544
• Rilegatura: Copertina flessibile
• Numero di pagine: 172
• Contatto del produttore: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3,69115 Heidelberg, Germany; Heidelberg; 69115; Germania