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

Research Authors
M. Abdelrahim, R. Postoyan, J. Daafouz and D. Nešić
Research Year
2014
Research Journal
In Proceedings of the 53rd IEEE Conference on Decision and Control, Invited Paper, Los Angeles, U.S.A.
Research Publisher
NULL
Research Vol
NULL
Research Rank
3
Research_Pages
PP.3560-3565
Research Website
NULL
Research 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.