Stability analysis and PI control synthesis under event-triggered communication

Although setpoint tracking problems are common in practice, they are still widely unexplored in the event-triggered control framework. Therefore, an event-triggered PI control design strategy with guaranteed performance for networked control systems is proposed in this paper. The integral state of the proposed PI controller is updated at every sampling instant. The update is done by the proposed event generator and sent with new measurements to the PI controller when necessary. Based on a discretized system model and a quadratic cost function, the event-triggered PI control design problem is introduced and formulated as an LMI optimization problem. The effectiveness of the proposed strategy is then experimentally evaluated and compared with other existing strategies in the literature for a case study.