A linear regressive model structure and output predictor, both in algebraic form, are deduced from an LTI state space system with symmetric tridiagonal system matrix structure. In practice, systems with such a system matrix arise in modeling of distributed system configurations, and are known as compartmental systems. Two diffusion example cases are approximated by compartmental models and simulations of one case are worked out. Simulation results indicate that the method may be attractive for estimation, prediction and insight in compartmental systems, especially when physical knowledge is to be preserved.
|Title of host publication||25th Benelux Meeting on Systems and Control, March 13-15, 2006, Heeze, The Netherlands|
|Subtitle of host publication||Book of Abstracts|
|Editors||Bram de Jager, Gjerrit Meinsma|
|Place of Publication||Eindhoven|
|Publisher||Technische Universiteit Eindhoven|
|Number of pages||1|
|Publication status||Published - 13 Mar 2006|
|Event||25th Benelux Meeting on Systems and Control 2006 - Heeze, Belgium|
Duration: 13 Mar 2006 → 15 Mar 2006
Conference number: 25
|Conference||25th Benelux Meeting on Systems and Control 2006|
|Period||13/03/06 → 15/03/06|
Vries, D., Keesman, K., & Zwart, H. (2006). Identification of compartmental models of diffusive systems by linear regression. In B. de Jager, & G. Meinsma (Eds.), 25th Benelux Meeting on Systems and Control, March 13-15, 2006, Heeze, The Netherlands: Book of Abstracts (pp. 17-17). Eindhoven: Technische Universiteit Eindhoven.