Periodic event-triggered control for networked T-S fuzzy systems with packet losses and delays

In this paper, we address the problem of dynamic periodic event-triggered control (PETC) for networked Takagi-Sugeno (T-S) fuzzy systems subject to packet losses and transmission delays without acknowledgments. To save network resources efficiently, we adopt two independent and asynchronous event-triggering mechanisms (ETMs) on the sensor-controller (S-C) and controller-actuator (C-A) channels to determine whether the measurement output and control input need to be transmitted over the networks. Firstly, we introduce auxiliary variables and design appropriate jump rules to monitor the change process of the network-induced errors. Subsequently, we provide design conditions for the triggering function and dynamic variables of each trigger, and represent these conditions by using the locally available information of the corresponding trigger. Then, we propose a PETC strategy based on the emulation method, which can ensure the asymptotic stability of the system and only needs to check the triggering functions periodically. Finally, we give a numerical example to validate the feasibility and effectiveness of the theoretical results.