Co-design of output feedback laws and event-triggering conditions for linear systems
For control engineers, this provides a systematic LMI-based co-design approach for event-triggered control of linear systems, but it is incremental as it builds on existing event-triggered control frameworks.
The paper presents a co-design procedure for output feedback laws and event-triggering conditions that stabilizes linear systems with guaranteed global asymptotic stability and a strictly positive minimum inter-transmission time. The method uses LMIs and is shown to maximize this minimum time, with simulations demonstrating reduced transmissions.
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.