Exact linearization of third-order systems with pulse-width-modulation-type inputs

Abstract

An exact linearization method using static input transformations is proposed for third-order continuous-time systems with pulse-width-modulation-type inputs whose eigenvalues are real and distinct. In this method, two rectangular waves are located in each control interval, and their rising/falling timings are treated as the control parameters. This paper demonstrates that the image of the nonlinear input map contains the image of a suitable linear map, which means that some input transformations exist for linearization.