Model-based event-triggered quantized control for linear discrete-time systems

Abstract

We discusses the stabilization problem for networked linear discrete system using quantized state in this paper. Firstly, a event-triggered control policy is proposed based on the quantized state of the system model. Then, by using linear matrix inequality method, a new co-design algorithm for the parameter of event-triggered mechanism and state feedback controller is presented. In addition, based on Bernoulli binary distribution model, a mean square asymptotical stability condition is proposed for the obtained controller when there exits packet dropout phenomenon. Finally, the effectiveness of the proposed approach is shown by some numerical simulations.