The iterative approach to the optimal linearization method

• Autorzy: Myszkowski P. , Forenc J.
• Języki publikacji: EN

Abstrakty

EN

In presented paper the analysis of the non-linear models of physical systems will be considered. The analysis of the non-linear system dynamics will be performed by means of the linear model obtained by the optimal linearization method. The paper presents a new approach to this method, based on iterative process.

Słowa kluczowe

EN

linearization; non-linear state equation; optimal linearization; iterative approach

PL

linearyzacja; równania stanu nieliniowe; linearyzacja optymalna; metody iteracyjne

• Wydawca: Polish Academy of Sciences, Committee of Electronics and Telecommunication
• Czasopismo: Electronics and Telecommunications Quarterly
• Rocznik: 2008
• Tom: Vol. 54, No 3
• Strony: 389--395
• Opis fizyczny: Bibliogr. 10 poz., wykr.

Twórcy

autor

Myszkowski P.

autor

Forenc J.

• Faculty of Electrical Engineering, Bialystok Technical University, Wiejska 45D, 15-351 Bialystok,

Bibliografia

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• 2. T. Kaczorek: System and control theory, PWN Warszawa, 1999 (in Polish).
• 3. A. Jordan et al.: Optimal Linearization of Non-Linear State Equations, Rairo-Automatique, System Analysis and Control, pp. 263-271, 1987.
• 4. M. Barland et al.: Commande optimale d'un systeme generateur photovoltaique convertisseur statique - recepteur, Revue Phys. Appl. 19, pp. 905-915, Commision des Publications, Francaises de Physique, Paris, 1984.
• 5. A. Isidori: Nonlinear Control Systems, Springer Verlag, 1995.
• 6. R. Marino, P. Tomei: Nonlinear Control Design - geometric, adaptive, robust. Prentice Hall, 1995.
• 7. A. Jordan, T. Kaczorek, P. Myszkowski: Linearization of non-linear differential equations, Publishing of Białystok Technical University, Białystok, 2007 (in Polish).
• 8. A. Jordan, J. Nowacki: Global Linearization of Non-Linear State Equations, International Journal of Applied Electromagnetics and Mechanics, pp. 637-642, vol. 19, Nr 1-4, 2004.
• 9. T. Kaczorek, A. Jordan, J. Forenc: Global linearization of a non-linear model of a DC drive system, 2nd Grant Conference "Numerical methods in modelling of electric devices", pp. 7-16, PJIIT, Warsaw, 2002.
• 10. T. Kaczorek: Vectors and matrices in automatics and electrotechnics, WNT, Warszawa, 1998 (in Polish).