Asynchronous Piecewise Output-Feedback Control for Large-Scale Fuzzy Systems via Distributed Event-Triggering Schemes

This paper examines the problem of distributed event-triggering output-feedback control for discrete-time large-scale fuzzy systems in the network scenario. A novel distributed event-triggering control scheme is proposed, where each subsystem transmits its output information and premise variables only when its local output error exceeds a specified threshold. The resulting closed-loop fuzzy control system subject to nonsynchronous grades of membership is explored under such circumstances. In virtue of a piecewise Lyapunov function together with some matrix inequality convexification techniques, the solution to the distributed event-triggering output-feedback control problem is derived in the form of linear matrix inequalities. It will be shown that the closed-loop control system is asymptotically stable while significantly reducing the communications via networks. Finally, a direct current microgrid with solar photovoltaic arrays is utilized to illustrate the validity and practicability of the proposed results.