A calculation of switching functions as a means of minimizing error in an on-off control system

Self-optimization of control systems is becoming a practical proposition through new developments in the electronics field, notably in digital-computer techniques. To this end, the paper, after discussion of some essential basic concepts, proposes an adaptive switching function as an on-off controller. Results are given for repeated application of step and ramp inputs to a mathematical model of an ideal servo mechanism, set up on a Deuce digital computer. The results neglect relay imperfections, they are preliminary in nature, and intended to provoke further research.