No abstract

This paper presents an observer-based event-triggered strategy for discrete-time linear systems subject to input sector-bounded nonlinearities. Considering a given control law that stabilizes the system under periodic sampling, the emulation problem is addressed. Through linear matrix inequalities (LMIs), sufficient conditions are derived to ensure global or regional exponential stability of the origin of the closed-loop system under the event-trigger control strategy. These conditions are cast into a convex optimization problem to determine the eventtrigger function parameters, aiming at reducing the number of control updates with respect to a periodic implementation. Numerical examples with logarithmic quantization and saturation are presented to illustrate the method.