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Event-triggered dynamic feedback controllers for nonlinear systems with asynchronous transmissions

Research Authors
M. Abdelrahim, R. Postoyan, J. Daafouz and D. Nešić
Research Year
2015
Research Journal
In Proceedings of the 54th IEEE Conference on Decision and Control, Invited Paper, Osaka, Japan
Research Publisher
NULL
Research Vol
NULL
Research Rank
3
Research_Pages
PP. 5494-5499
Research Website
NULL
Research Abstract

We synthesize robust output-based event-triggered
controllers for a class of nonlinear systems subject to external disturbances and noises in both the plant measurement and the control input. We follow an emulation approach to this purpose: we first assume that we know a robust feedback law in continuous time, we then take into account the sampling and we explain how to construct the triggering condition to preserve
stability. The triggering strategy enforces a minimum time between two consecutive transmissions by combining ideas from event-triggered control and periodic sampled-data control. The closed-loop system is shown to satisfy an input-to-state stability (ISS) property with respect to the external disturbances, the noises as well as their time-derivatives. The analysis reveals
a tradeoff between the enforced minimum inter-transmission time and the magnitude of the ISS gains. The results are also new in the particular case where the triggering condition is only time-dependent as in traditional sampled-data control.