Stabilization of linear systems with time-varying input delay by event-triggered delay independent truncated predictor feedback

This article deals with the problem of stabilization of linear systems with time-varying input delay by an event-triggered delay independent truncated predictor feedback law, either of the state feedback type or the output feedback type. Only the information of a delay bound rather than the delay itself is required in the design of both control laws and event-triggering strategies. For both the state feedback case and the output feedback case, an admissible delay bound that guarantees the stabilizability of a general linear system is established, and the Zeno behavior is shown to be excluded. For linear systems with all open-loop poles at the origin or in the open left-half plane, stabilization can be achieved for a delay under an arbitrarily large bound.