Optimality in Event-Triggered Adaptive Control of Uncertain Linear Dynamical Systems

In this paper, we propose a unified approach for the design of an event-triggering mechanism (ETM) and a state feedback controller for uncertain linear dynamical systems. The design task is formulated as a problem of finding the optimal control input while maximizing the event-triggering threshold such that a satisfactory system performance in the presence of intermittent feedback is guaranteed. In other words, we present a zero-order-hold (ZOH) and model-based event-triggering schemes along with adaptive optimal controllers which not only regulates the system but also optimizes its performance. The stability and optimality of the closed-loop system are analyzed using Lyapunov theory, and numerical results are provided to substantiate the theoretical claims