Design of PWM controller for sampled-data system using digitally redesigned PAM controller

Two issues are addressed: digital redesign of a continuous-time system with an input time delay, and translation of the pulse-amplitude modulated (PAM) controller obtained by the newly proposed digital redesign method into an equivalent pulse-width modulated (PWM) controller. A tuning parameter is introduced into the PAM controller so that the digitally controlled sampled-data states closely match the original continuous-time input time-delay states. Also, the principle of equivalent areas is applied to convert the newly developed PAM controller into an equivalent PWM controller so that the controlled states closely match a relatively longer sampling period. Two illustrative examples are provided to demonstrate the effectiveness of the proposed method