TY - JOUR T1 - Fuzzy Sets-Based Nonlinear Modelling of Induction Machines: An Alpha-Cut Approach AU - , Noureddine Melouah AU - , Hamid Kherfane AU - , Bachir Bensaker JO - International Journal of Electrical and Power Engineering VL - 1 IS - 4 SP - 438 EP - 442 PY - 2007 DA - 2001/08/19 SN - 1990-7958 DO - ijepe.2007.438.442 UR - https://makhillpublications.co/view-article.php?doi=ijepe.2007.438.442 KW - Nonlinear modelling KW -induction machines KW -fuzzy sets KW -fuzzy parameters KW -alpha-cuts KW -Zadeh extension principle AB - This study is devoted to nonlinear modelling of induction machines by using the fuzzy set concepts. Induction machines are known as complex nonlinear systems in which time-varying parameters entail an additional difficulty for control and diagnostic purposes. Based on the fact that nonlinear system problems can be solved by using fuzzy set concepts, an induction machine model expressed in terms of nonlinear state space model is investigated and discussed. Fuzzy sets are used to describe uncertainty, nonlinearity and time-variance of the system parameters. This leads to nonlinear state space model with fuzzy parameters. The simulation results show that the proposed approach can be effectively applied to induction machine control and diagnostic problems. To our knowledge, this approach is new in the field of electric machine modelling, control and diagnostic. ER -