Classification Criteria of Linearization Methods

• Autorzy: Myszkowski P.
• Języki publikacji: EN

Abstrakty

EN

The linearization of non-linear differential equations is a significant problem in analysis and synthesis of non-linear state equations. There are many methods of linearization, that leads to linear equation, which is an approximation of non-linear equation. Considering many different features of particular linearization methods a very important problem is how to choose a method to obtain the best results. In presented paper there are proposed criteria that make possible classifying of linearization methods. Considerations are illustrated by the example of non-linear model of electrical circuit.

Słowa kluczowe

EN

non-linear state equation; linearization; classification criteria; global linearization; optimal linearization

PL

równania stanu nieliniowe; linearyzacja; linearyzacja optymalna; kryteria klasyfikacji

• Wydawca: Polish Academy of Sciences, Committee of Electronics and Telecommunication
• Czasopismo: Electronics and Telecommunications Quarterly
• Rocznik: 2009
• Tom: Vol. 55, No 4
• Strony: 659--668
• Opis fizyczny: Bibliogr. 11 poz., tab., wykr.

Twórcy

autor

Myszkowski P.

• Bialystok Technical University, Faculty of Electrical Engineering

Bibliografia

• 1. T. Kaczorek, A. Dzieliński, W. Dąbrowski, R. Łopatka: The basis of control theory, WNT, Warszawa, 2004 (In Polish).
• 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, Vol. 21, No 2, pp. 263-271, 1987.
• 4. A. Jordan (et al): Optimal linearization method applied to the resolution on non linear state equations, Rairo-Automatique, System Analysis and Control, Vol. 21, No 2, pp. 175-185, 1987.
• 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 Bialystok Technical University, Białystok, 2007 (In Polish).
• 8. A. Krupowicz: Numerical methods of initial conditions of ordinary differential equations, PWN, Warszawa, 1986 (In Polish).
• 9. Ch. H. Papadimitriou: Computational complexity, WNT, Warszawa, 2002 (In Polish).
• 10. T. Kaczorek: Applying of polynomial and rational matrices in dynamical systems theory, Publishing of Bialystok Technical University, Białystok, 2004 (In Polish).
• 11. P. Myszkowski: Selected aspects of the global linearization of non-linear state equation, Proceedings of SPIE vol. 6937, Wilga, Poland, 2007.