An Energy Function-Based and Norm-Free Event-Triggering Approach to Schedule Control Data Transmissions in State Feedback Control

In this paper, we propose a new event-triggering approach to schedule control data transmissions in state feedback control of linear time-invariant dynamical systems. Specifically, an energy function-based and norm-free event-triggering condition is presented, where the embedded processor broadcasts a sampled data of its control signal value through a zero-order-hold operator to the dynamical system when the left side of the event-triggering condition equals to its right side. Here, the energy function-based feature implies that the right side of this event-triggering condition involves an energy function as well as its time-derivative for making the selection of its right side user-adjustable. Moreover, the norm-free feature implies that the left side of this event-triggering condition does not depend on signal norms to yield better control data transmission reduction. We also present illustrative numerical examples in order to demonstrate the efficacy of the proposed event-triggering approach in scheduling state feedback control data transmissions.