Event-triggered stabilization for singular systems based on sampled-data

In this paper, we mainly focus on the problem of the event-triggered stabilization for linear singular systems based on sampled data. A event-triggered mechanism is proposed to reduce the number of data sampling and transmissions. By modeling the event-triggered control system as an input-delay singular system with sampled-data error and constructing a proper Lyapunov functional, a new sufficient condition for admissibility of closed loop system is obtained, which has taken the feature of sample-induced delay into consideration. Then, co-design algorithm for the state feedback controller and event-triggered mechanism parameters are proposed by means of linear matrix inequalities approach. Finally, a numerical example is given to show the effectiveness of the results.