A sample time assign for a discrete interval parabolic system with the two-dimensional uncertain parameter space

• Autorzy: Mitkowski W. , Oprzędkiewicz K.
• Języki publikacji: EN

Abstrakty

EN

In this paper, the sample time assign problem for a class of uncertain parameter discrete parabolic systems is presented. The system under consideration is described by the discrete abstract state space equation in the Hubert space. The system's uncertainty is described by the two-dimensional vector containing uncertain parameters of a heat equation. The type of the system uncertainty implies that the state operator and the control operator for the discussed system are interval operators. As a measure of the system's uncertainty the weighted mean of widths of interval state equation coefficients and the Euclidean norm of the both widths were accepted. The proposed performance indices allows us to calculate a range of sample time that guarantees that the required maximal permissible system's uncertainty is not exceeded after a system's discretization. The results are depicted by an example.

Słowa kluczowe

EN

discrete-time systems; parabolic equations; heat equation; state equation coefficients; two-dimensional vector; state space equation

• Wydawca: Oficyna Wydawnicza Politechniki Wrocławskiej
• Czasopismo: Systems Science
• Rocznik: 2004
• Tom: Vol. 30, no 1
• Strony: 43--50
• Opis fizyczny: Bibliogr. 6 poz., rys., wykr.

Twórcy

autor

Mitkowski W.

• AGH UST

autor

Oprzędkiewicz K.

• AGH UST

Bibliografia

• [1 ] Kalmikov S. A., Sokin J. I. Juldasev Z. H., Metody Intervalnego analiza. Nauka 1986, (in Russian).
• [2] Mitkowski W., Stabilisation of Dynamic Systems, PWN, Warszawa 1991, (in Polish).
• [3] Moore R., Methods and Applications of Interval Analysis, SIAM, Philadelphia 1979.
• [4] Oprzędkiewicz K., An example of the parabolic system identification. Scientific Bulletins of UMM, Electrotechnics, Vol. 16, No. 2, 1997, 99-106, (in Polish).
• [5] Oprzędkiewicz K., The interval parabolic system. Archives of Control Sciences, Vol. 13, No. 4 2003, 391-405.
• [6] Oprzędkiewicz K., The discrete interval parabolic system. Archives of Control Sciences, 2004 (to be published).