Approximate Input-Output Feedback Linearization of Nonlinear Systems and Application for a Third-Order System

In this work the method of approximate input-output feedback linearization will be discussed. The idea is to neglect a part of the system dynamics so as to make the approximate system input-output feedback linearizable system. The neglected part is then considered as a perturbation. A linear controller is designed so as to account for the nonlinearities that have not been compensated for but simply ignored. Stability is analyzed using the vanishing perturbation theory.

Keywords:

nonlinear , system dynamic , approximation , Input-output feedback linearization , Vanishing perturbation