Digital Library of Zielona Góra contains 63 052 digital objects
Object
Title: Approximate state-space and transfer function models for 2x2 linear hyperbolic systems with collocated boundary inputs
Contributor:
Kołodziej, Joanna - ed. ; Pllana, Sabri - ed. ; Vitabile , Salvatore - ed.
Subtitle:
Group publication title:
Abstract:
Two approximate representations are proposed for distributed parameter systems described by two linear hyperbolic PDEs with two time- and space-dependent state variables and two collocated boundary inputs. Using the method of lines with the backward difference scheme, the original PDEs are transformed into a set of ODEs and expressed in the form of a finite number of dynamical subsystems (sections). ; Each section of the approximation model is described by state-space equations with matrix-valued state, input and output operators, or, equivalently, by a rational transfer function matrix. The cascade interconnection of a number of sections results in the overall approximation model expressed in finite-dimensional state-space or rational transfer function domains, respectively. The discussion is illustrated with a practical example of a parallel-flow double-pipe heat exchanger. ; Its steady-state, frequency and impulse responses obtained from the original infinite-dimensional representation are compared with those resulting from its approximate models of different orders. The results show better approximation quality for the ?crossover? input-output channels where the in-domain effects prevail as compared with the ?straightforward? channels, where the time-delay phenomena are dominating.
Publisher:
Zielona Góra: Uniwersytet Zielonogórski
Resource Identifier:
DOI:
Pages:
Source:
AMCS, volume 30, number 3 (2020) ; click here to follow the link
Language:
License CC BY 4.0:
Rights:
Biblioteka Uniwersytetu Zielonogórskiego
Object collections:
- Digital Library of Zielona Góra > Repository > Faculties > Faculty of Computer, Electrical and Control Engineering
- Digital Library of Zielona Góra > Repository > Types of work > Articles
- Digital Library of Zielona Góra > Repository > Scientific journals and UZ publishing series > International Journal of Applied Mathematics and Computer Science (AMCS) > International Journal of Applied Mathematics and Computer Science (AMCS) (2020)
Last modified:
Jul 17, 2025
In our library since:
Jul 17, 2025
Number of object content hits:
23
All available object's versions:
https://zbc.uz.zgora.pl/publication/101234
Show description in RDF format:
Show description in OAI-PMH format:
-
-
-
-
-
-
-
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 30, number 1 (2020)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 30, number 2 (2020)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 30, number 3 (2020)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 30, number 4 (2020)
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
| Edition name | Date |
|---|---|
| Approximate state-space and transfer function models for 2x2 linear hyperbolic systems with collocated boundary inputs | Jul 17, 2025 |
Objects Similar
Bartecki, Krzysztof Korbicz, Józef (1951- ) - red. Uciński, Dariusz - red.
Patan, Krzysztof Patan, Maciej (1975- )
Patan, Maciej (1975- ) Kowalów, Damian Aitouche, Abdel - ed.
Patan, Maciej (1975- ) Korbicz, Józef (1951- ) - red. Uciński, Dariusz - red.
Uciński, Dariusz Korbicz, Józef (1951- ) - red. Uciński, Dariusz - red.
Sokol, Milan Komorníková, Magdaléna Bacigál, Tomáš Rodríguez, Miguel X. Stefanowski, Jerzy - ed. Krawiec, Krzysztof - ed. Wrembel, Robert - ed.
Respondek, Jerzy Stefan Kasiński, Andrzej - ed. Ponulak, Filip - ed.
Janiszowski, Krzysztof B. Korbicz, Józef (1951- ) - red. Uciński, Dariusz - red.
