Event-Triggered Parameterized Control for Stabilization of Linear Systems

This paper proposes a new control method called event-triggered parameterized control (ETPC). We showcase this method by focusing on the specific problem of stabilization of linear systems. In this control method, between two consecutive events, each control input to the plant is a linear combination of a set of linearly independent scalar functions. At each event, the coefficients of the parameterized control input are chosen to minimize the error in approximating a model based control signal and then they are communicated to the actuator. We design two event-triggering rules that guarantee global asymptotic stability of the origin of the closed loop system under some conditions on the model uncertainty. We also show the existence of a uniform positive lower bound on the inter-event times. We illustrate our results through numerical examples. We compare the proposed control method with event-triggered zero-order-hold control and show a significant improvement in terms of the average inter-event times.