A discrete event-triggered communication scheme for networked T-S fuzzy systems

This paper presents a discrete event-triggered communication scheme for a class of networked Takagi-Sugeno (T-S) fuzzy systems. This scheme has two main features: i) whether or not the sampled state should be transmitted is determined by the current sampled state and the error between the current sampled state and the latest transmitted state, and ii) it is a discrete event-triggered communication scheme since the triggered conditions are measured and checked at the discrete sampling instant. Next, an asynchronous networked T-S fuzzy model is delicately constructed, which not only includes the state error, but also considers the non-uniform time scales in the networked T-S fuzzy model and the parallel distributed compensation fuzzy control rules. Then, using the Lyapunov-Krasovskii functional techniques, two sufficient conditions are derived for system analysis and synthesis, respectively. In particular, the derived stabilization criterion can provide a tradeoff to balance the required communication resources and the desired performance. Finally, a numerical example is given to show the effectiveness of the proposed method.