Event-Triggered Functional Observer Design With $\epsilon$-Convergence for Interconnected Systems

This article considers the problem of designing robust event-triggered functional observers for linear interconnected systems with disturbances. The considered system comprises $N$ interconnected subsystems where each subsystem is subject to unknown-but-bounded input disturbances that do not necessarily satisfy the observer matching condition. First, novel Zeno-free event-triggered mechanisms (ETMs) for $N$ subsystems of the considered interconnected system are proposed. Then, robust distributed functional observers are designed based on the proposed ETMs. The designed event-triggered functional observers are robust such that the observer error for each subsystem is $\epsilon _i$-convergent. This ensures that the $i$th estimated state vector of the $i$th subsystem converges robustly within an $\epsilon _i$-bound of the true state vector of the $i$th subsystem. Numerical examples are given to illustrate the effectiveness of the proposed design method.