H∞ Event-Triggered Control with Performance Guarantees Vis-à-vis Optimal Periodic Control

The paper puts forward an event-triggered controller with H _∞ performance guarantees. Namely, its sampling rate never exceeds that of the optimal periodic sampled-data controller for the same performance level. The proposed event- triggered controller yields actually slower sampling than that in the optimal periodic case, unless certain internal signal belongs to a class of "worst-case" analogue signals. This class is exhaustively characterized and shown to be atypical.