Observer-based event-triggered control for discrete-time systems in the presence of sector-bounded nonlinear inputs

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 problems is addressed. Through linear matrix inequalities (LMIs), sucient conditions are derived to ensure global or regional exponential stability of the origin of the closed-loop system under the event-trigger control strategy. This conditions are cast into a convex optimization problem to determine
the event-trigger function parameters, aiming at reducing the number of control updates with respect to periodic implementations. Numerical examples with logarithmic quantization and saturation are presented to ilustrate the method.