Exact Linearization of Three-Dimensional LTI Systems with PWM Inputs

For three-dimensional LTI systems with PWM inputs whose eigenvalues are real and distinct, an exact linearization method using static input transformations is proposed. In this method, two rectangular waves are located in each control period, and their rising/falling timings are treated as the control parameters. This paper shows that the image of the nonlinear input map contains the image of a suitable linear map, which means that some input transformations for the linearization exists.