Dynamic of Distributed Parameter Systems; From Infinite to Finite Systems

المؤلفون

  • Ahmed Baaiu
  • Ismail Albatrookh

DOI:

https://doi.org/10.36602/ijeit.v2i2.260

الكلمات المفتاحية:

Dynamic of distributed parameter systems, lumping and discretization, simulation, finite differences

الملخص

This work focuses on describing the dynamic
behavior of distributed parameter systems by means of
spatial discretization. In control and system theory
literature, distributed parameter systems are simply the
systems that are represented mathematically by partial
differential equations. Thus, the key notion of this work is
representing the dynamic behavior of distributed parameter
systems by means of spatial discretization of the dynamics of
the system. Spatial discretization, or lumping, aims to
transform a partial differential equation to a set of ordinary
differential equations. The proposed concept approximates
the dynamic behavior of the physical system by lumping it
to small tranches and then using the finite differences
method to interconnect formally these lumps and simulates
the dynamic of the overall system.

التنزيلات

تنزيل البيانات ليس متاحًا بعد.

المراجع

A. Baaiu, F. Couenne, L. Lefevre, Y. Le Gorrec, M. Tayakout,

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V. Duindam, A. Macchelli, S. Stramigioli, H. Bruyninckx,

Modeling and Control of Complex Physical Systems, The PortHamiltonian

Approach, 1

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Heidelberg, 2009.

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Edition, McGraw-Hill, Inc, 1991.

A. Baaiu, F. Couenne, L. Lefevre, and Y. Le Gorrec, “Energypreserving

method for spatial discretization: application to an

adsorption column” Computer Aided Chemical Engineering, vol.

, pp. 727-732, 2008.

A. Baaiu, F. Couenne, L. Lefevre, Y. Legorrec and M. Tayakout,

“On Energy based discretization of an adsorption column”, in

Proc. ADCHEM (International Symposium on Advanced Control

of Chemical Processes), Brazil, April 2006, pp. 8-16.

A. Baaiu, “Hamiltonian approach for modeling, estimation and

control of a separation process” Ph.D. dissertation, N° d’order

-2007., Lyon-1 University, Lyon, France, June 2007.

التنزيلات

منشور

2016-03-10

إصدار

القسم

المقالات

الفئات

كيفية الاقتباس

Dynamic of Distributed Parameter Systems; From Infinite to Finite Systems . (2016). The International Journal of Engineering & Information Technology (IJEIT), 2(2). https://doi.org/10.36602/ijeit.v2i2.260

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