Zero-order-hold triggered prescribed-time control of a chain of integrators

Abstract

We propose a zero-order-hold (ZOH) triggered prescribed-time controller for a chain of integrators. Our proposed controller derives the state into the arbitrarily small ball around the origin at the prescribed-time irrespective of the initial conditions while the control input is only updated discretely. We carry out the rigorous system analysis using Razumikhin theorem to prove the boundness of the state and control input. We give simulation results to illustrate the validity of our control method.