Linear quadratic regulator with decentralized event-triggering

Event-triggered control is a control method that the measured signal is sent to the controller only when a certain condition on the measured signal is satisfied. In this paper, we propose a decentralized event-triggered linear quadratic regulator (LQR). First, a suboptimal solution to the decentralized event-triggered LQR problem is derived. A state-feedback gain can be obtained by solving an LMI (linear matrix inequality) optimization problem. Next, the relation between centralized and decentralized event-triggered LQR problems is discussed. It is shown that control performance of a decentralized event-triggered LQR is better than that of a centralized event-triggered LQR. Finally, a numerical example is illustrated.