Delayed Feedback Control for Linear Time-Varying Periodic Systems in Act-and-Wait Fashion

A delayed feedback control framework for stabilizing periodic orbits of a linear periodic time-varying system is proposed. Act-and-wait approach is utilized for switching the proposed delayed feedback controller on and off alternately at every integer multiples of the period of the system. We obtain conditions for the convergence of the state trajectories towards a periodic solution of the closed-loop system under our proposed control law. We present a numerical example to illustrate the efficacy of our approach.