Pulse width modulation sequence generating a near critical damped step response

Abstract

A digital circuit implementing pulse width modulation controls power delivered in what one can model as a second order or higher order system. An exemplary control plant could embody a step-down switch mode power supply providing a precise sequence of voltages or currents to any of a variety of loads such as the core voltage of a semiconductor unique compared to its input/output ring voltage. An algorithm produces a specific sequence of pulses of varying width such that the voltage or current delivered to the load from the system plant closely resembles a critical damped step response. The specific pulse width modulation sequence controls a plant that provides a near critical damped step response in one embodiment without a feed-forward or feedback loop physically embodied in the control system thereby reducing the parts cost or control semiconductor production yield cost while enhancing noise immunity and long term reliability of the control system. The specific algorithm exhibits tolerance to variations of twenty percent or greater in output load or ten percent or greater in control plant element parameters thus maintaining near critical damped step response characteristics when actual parameter values deviate from initial estimates.