Comparison between sampled-data control, deadband control and model-based event-triggered control

This paper investigates the stability as well as communication properties of sampled-data control and two event-triggered control schemes: deadband control and model-based event-triggered control. After proposing a uniform representation, these schemes are compared by deriving approximation error bounds with respect to the behavior of the continuous-time state-feedback loop and by specifying lower bounds on the minimum inter-sampling times. The results show that, under the conditions derived in this paper, the model-based approach guarantees the best stability and communication properties which is also demonstrated by a numerical example.