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Linearization of non-linear state equation

Jordan A.J.

Bulletin of the Polish Academy of Sciences. Technical Sciences

2006

Vol. 54, nr 1

63-73

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.