Engineering Transactions, 32, 4, pp. 563-573, 1984

On Distributed Parameter System Identification with a Priori Information as Constraints

E. Rafajłowicz
Technical University of Wrocław, Wrocław
Poland

The identification procedure presented in the paper makes it possible to determine the unloaded estimator of parameters of a system with distributed. parameters. They are derived by minimization of the quality functional in the quadratic form with the constrains being tak.en into account. Various properties of the procedure proposed are discussed, and a numerical example is presented.
Full Text: PDF
Copyright © Polish Academy of Sciences & Institute of Fundamental Technological Research (IPPT PAN).

References

E. J. BELTRAMI, An algorithmic approach to nonlinear analysis and optimization, Academic Press, New York 1970.

W. KASPRZAK, B. LYSIK, Construction and interpretability of a mathematical model for process description, Studia Geotechnica et Mechanica, 2, 1, 59-73.

W. KASPRZAK, B. LYSIK, Analiza Wymiarowa w projektowaniu eksperymentu, PAN - Oddział Wrocław, Ossolineum, 1978.

E. RAFAJŁOWICZ, ldentification of partly unknown systems using dimensional analysis and perturbation methods, Studia Geotechnica et Mechanica [to be published].

C. R. RAO, Linear statistical inference and its applications, J. Wiley, 1965.

I. STACKOLD, Boundary value problems of mathematical physics, Collier-Mac Millan, London 1968.

S. P. TIMOSHENKO, S. WOINOWSKY-KRIEGER, Theory of plates and shells, MacGraw-Hill Book Company, New York 1959.