Linearization of non-linear state equation

• Autorzy: Jordan A.J.
• Języki publikacji: EN

Abstrakty

EN

The paper presents an overview of linearization methods of the non-linear stale equation. The linearization is developed from the point of view of the application in the theoretical electrotechnics. Same aspects of these considerations can be used in the control theory. In particular the main emphasis is laid on three methods of linearization, i.e.: Taylor's series expansion, optimal linearization method and global linearization method. The theoretical investigations are illustrated using the non-linear circuit composed of a solar generator and a DC motor. Finally, the global linearization method is presented using several examples, Le. the asynchronous slip-ring motor and non-linear diode. Furthermore the principal theorem concerning the BIBS stability (bounded-input bounded stale) is introduced.

Słowa kluczowe

EN

non-linear state equation; linearization; optimal linearization method; global linearization method; Taylor's series expansion; BIBS stability

• Wydawca: Polska Akademia Nauk, Wydział IV Nauk Technicznych
• Czasopismo: Bulletin of the Polish Academy of Sciences. Technical Sciences
• Rocznik: 2006
• Tom: Vol. 54, nr 1
• Strony: 63--73
• Opis fizyczny: Bibliogr. 29 poz., 23 rys.

Twórcy

autor

Jordan A.J.

• Faculty of Electrical Engineering, Białystok Technical University, 45D Wiejska St., 15-351 Białystok, Poland,

Bibliografia

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