Kołodziej, Joanna - ed. ; Pllana, Sabri - ed. ; Vitabile , Salvatore - ed.
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.
Zielona Góra: Uniwersytet Zielonogórski
AMCS, volume 30, number 3 (2020) ; kliknij tutaj, żeby przejść
Biblioteka Uniwersytetu Zielonogórskiego
17 lip 2025
17 lip 2025
23
https://zbc.uz.zgora.pl/publication/101234
| Nazwa wydania | Data |
|---|---|
| Approximate state-space and transfer function models for 2x2 linear hyperbolic systems with collocated boundary inputs | 17 lip 2025 |
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