ON A POLYNOMIAL INTERPOLATION METHOD FOR THE EXACT LINEARIZATION PROBLEM

摘要

A polynomial interpolation method is described for the evaluation of a diffeomorphic transformation and state-feedback for the approximate linearization of a nonlinear system. The method can be applied for the states lying inside a parallelepiped. In the case of an involutive system, the linearization error is sufficiently small whenever the error on the evaluation of the partial derivatives is negligible. An example is shown to display the performance of the method.