Finite-gain L1 Event-triggered Interval Observers design for Continuous-time Linear Systems

This work introduces the design of finite-gain L1 interval observers based on an event-triggered mechanism for linear continuous-time systems in the presence of unknown-but-bounded uncertainties with a priori known bounds (state disturbances and measurement noises). In addition, the times when the measurements are required in the estimation procedure are driven by an event-triggered mechanism. A dynamic event-triggered condition, which depends on the width of the feasible domain of the system's uncertainties and the width of the estimated state enclosures, is established. The proposed event-triggered strategy guarantees the existence of a positive lower bound on the inter-event times, which avoids the Zeno phenomenon. Moreover, the L1-stability of the estimation error is ensured while using as less as possible sensors data. Finally, simulation results are given to illustrate the effectiveness of the proposed method.