Co-design of output feedback laws and event-triggering conditions for linear systems

TL;DR

This paper introduces a method to co-design output feedback controllers and event-triggering conditions for linear systems, ensuring stability, minimum inter-transmission times, and reducing communication via LMI-based optimization.

Contribution

It proposes a novel LMI-based approach for simultaneous design of feedback laws and event-triggering conditions with guarantees on stability and transmission frequency.

Findings

Global asymptotic stability achieved

Guaranteed minimum inter-transmission time

Reduced transmissions through heuristic methods

Abstract

We present a procedure to simultaneously design the output feedback law and the event-triggering condition to stabilize linear systems. The closed-loop system is shown to satisfy a global asymptotic stability property and the existence of a strictly positive minimum amount of time between two transmissions is guaranteed. The event-triggered controller is obtained by solving linear matrix inequalities (LMIs). We then exploit the flexibility of the method to maximize the guaranteed minimum amount of time between two transmissions. Finally, we provide a (heuristic) method to reduce the amount of transmissions, which is supported by numerical simulations.