Abstract
This report is concerned with discrete-time systems that are derived for two dimensional continuous-time LTI systems by the pulse-width-modulation input. Although the input term of the discrete-time system is a nonlinear map of the duty ratio of the rectangular wave, it can be exactly linearized by varying the center of each rectangular waves as well as its duty ratio. In this report, this novel method is applied to two physical systems, that is, a rotating system with thrusters and an inverter circuit, to systematically design control laws.
