TY - JOUR
N2 - The paper presents an overview of linearization methods of the non-linear state equation. The linearization is developed from the point of view of the application in the theoretical electrotechnics. Some 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.: Taylorâ€™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, i.e. the asynchronous slip-ring motor and non-linear diode. Furthermore the principal theorem concerning the BIBS stability (bounded-input bounded state) is introduced.
L1 - http://sd.czasopisma.pan.pl/Content/111691/PDF-MASTER/(54-1)63.pdf
L2 - http://sd.czasopisma.pan.pl/Content/111691
PY - 2006
IS - No 1
EP - 73
KW - non-linear state equation
KW - linearization
KW - optimal linearization method
KW - global linearization method
KW - Taylorâ€™s series expansion
KW - BIBS stability
A1 - Jordan, A.J.
VL - vol. 54
DA - 2006
T1 - Linearization of non-linear state equation
SP - 63
UR - http://sd.czasopisma.pan.pl/dlibra/publication/edition/111691
T2 - Bulletin of the Polish Academy of Sciences Technical Sciences
ER -