Decentralised event-triggered control for uncertain switched T–S fuzzy systems with asynchronous adaptive sampling communication

This paper investigates decentralised event-triggered $H_\infty $H∞ control for uncertain switched Takagi-Sugeno (T-S) fuzzy systems subject to asynchronous adaptive sampling communication and exogenous disturbance. A set of adaptive sampling based on distributed sensors rather than a centralised sensor is applied to measure and sample the system's local signals. Moreover, it can enable local sensors to sample and transmit measured data asynchronously. In order to reasonably distribute network resources, decentralised event-triggering mechanisms (DETMs) are utilised. Furthermore, a data buffer is used to rearrange the released data from different channels to guarantee timely data utilisation. Then, under the proposed DETMs based on adaptive sampling and data buffer, a time-delay closed-loop uncertain switched T-S fuzzy system is developed by applying a modelling method. Subsequently, by utilising the average dwell time and piecewise Lyapunov functional method, sufficient conditions are obtained to ensure that the state of closed-loop uncertain switched T-S fuzzy system is exponentially stable with an $H_\infty $H∞ performance level. For the coupling between switching instants and event-triggered instants in the system, their impact on the system is discussed in detail. Accordingly, the conditions for the co-design of state feedback controllers gains and event-triggering parameters are presented. Finally, simulations verify the proposed design approach.