Modeling of Nonlinear Systems with Friction Structure Using Multivariable Taylor Series Expansion

The major aim of this article is modeling of nonlinear systems with friction structure that, thismethod is essentially extended based on taylore expansion polynomial. So in this study, thetaylore expansion was extended in the generalized form for the differential equations of the statespaceform. The proposed structure is based on multi independent variables taylore extended.According to the proposed method, in order to extract state-space form modeling, it is needed tosome samples of the measured value of system states and/or their combination. Then, the matrixof measured values and response vectors of derived states were forming by these measured valueof system states. By use of the presented equations and the measured values, the coefficients ofpolynomials were calculated as the model of state-space of studied nonlinear system. The resultof proposed simulation using proposed algorithm show, that it is importable having anindependent information system under test to system identification. A few suggestion wereproposed to decrease of the dependence of the measured samples, the results of algorithm withdifferent parameters show that proposed algorithm perform better. Of course in during theevaluation of algorithm, the results of different experimental were used.