Bipartite Synchronization of Fractional-Order T–S Fuzzy Signed Networks via Event-Triggered Intermittent Control

Abstract

Numerous previous findings on the synchronization of fractional-order networks have been conducted through event-triggered control (ETC) or intermittent control (IC), separately. Motivated by the benefits of IC and ETC, this article designs an effective event-triggered intermittent control (ETIC) to investigate the bipartite synchronization of fractional-order fuzzy signed networks. The system dynamics are constructed to describe the nonlinear signed networks via the fuzzy logic and the short-memory performance. Notably, this article represents the first attempt to design the ETIC for fractional-order networks in the sense of exponential convergence. This approach avoids the constantly updating states of IC and the uninterrupted input of ETC. By employing the Lyapunov method, some sufficient conditions for the synchronization of the considered networks are obtained. In addition, the Zeno phenomenon is eliminated so that the infimum of interval length is positive, which ensures the feasibility of the designed controller. Finally, two numerical experiment examples of the fractional-order Chua's circuits model and the fractional-order power system without load disturbance are carried on to illustrate the effectiveness and practicability of our theoretical analysis.