A non-stochastic control method for systems under small random jumps

Abstract

We consider a control problem containing a small Markov jump process and an on-off switch. A novel stochastic time-averaging (not a probability-averaging) technique is presented to calculate an approximate non-stochastic control that steers the system into a small neighborhood of the target point. We compute the control’s accuracy and the admissibility of the corresponding probabilities. This result will be utilized to manage a resonant power converter. The numerical plot confirms the accuracy of the estimated control outlined in this research.