Event-Triggered Control of Sampled-Data Nonlinear Systems*

The paper combines authors’ previous results on extending Emilia Fridman’s method to a class of nonlinear systems with sector bounded nonlinearity with the recent results of A. Selivanov and E. Fridman on a switching approach to event-triggered control. In this paper the sampled-data control under continuous event-trigger is considered. The closed-loop system is represented as the system switching between periodic and event-triggered sampling. Applying Fridman’s method and Yakubovich’s S-procedure the problem is reduced to feasibility analysis of linear matrix inequalities. Particularly it is demonstrated that the event-trigger can reduce the network workload by the example on synchronization of Chua’s circuits.