Exact linearization of PWM-hold discrete-time systems using input transformation

This report is concerned with discrete-time systems that are derived for continuous-time LTI systems by the pulse-width-modulation (PWM) -hold. The input term of the difference equation describing the discrete-time system is a nonlinear map of the control parameter of the PWM signal, i.e., duty ratio. It is shown that for two-dimensional systems, the nonlinearity of the PWM-hold systems can be exactly compensated by varying the center of each rectangular pulse-waves as well as its duty ratio.