This article investigates the security consensus problem for fractional-order multiagent systems (FOMASs) with cyber attacks via the hybrid event-triggered and impulsive control strategy. First, based on the destructive characteristics of network attacks on communication channels, a method for separating partial network structures is proposed. Differing from other studies of multiagent systems, it considers here that the communication topological network consists of strong channel and weak channel networks, and its connectivity is not required. Then, to overcome bandwidth constraints, a new hybrid event-triggered and impulsive security consensus control approach is first designed, which only needs to detect the sampled data at instants of cyber attacks and impulse. Furthermore, applying the fractional Lyapunov stability analysis methods, several sufficient conditions are proposed to achieve the exponential consensus for FOMASs with cyber attacks. Meanwhile, some parameters in security consensus control protocol are acquired. Finally, from the perspective of numerical simulation visualization, the rationality and correctness of the proposed consensus security control method are verified.

The voltage distortion caused by the nonlinear load seriously threatens the safe and stable operation of the droop control-based islanded ac microgrid. To address this issue, a quasi-disturbance current-based voltage robustness control strategy of the inverter-based distributed generator (DG) is proposed, which does not need any filters to extract harmonics. By feedforwarding a quasi-disturbance current in current loop, the voltage robustness of the islanded ac microgrid can be significantly enhanced under load disturbance. In addition, based on the impedance method, the impedance model of the improved DG is built and the voltage robustness of the islanded ac microgrid is analyzed from the perspective of impedance. In the middle-frequency band, the impedance of the DG controlled by the proposed control strategy is obviously smaller than that of the classical DG, which makes the optimized DG more like an ideal voltage source and thus improves the voltage robustness of the islanded ac microgrid. Compared with the traditional harmonic suppression methods, the proposed method is simpler and can suppress time-varying harmonics in the middle-frequency band. Finally, the theoretical analysis and the proposed control strategy are verified with the simulation and experimental study.

This article investigates the hybrid event-triggered and impulsive consensus problems for leaderless and leader-following multiagent systems (MASs) with switching topologies. Based on the state information of neighboring agents at event-triggered moments and impulsive instants, a hybrid event-triggered and impulsive control strategy (HETICS) is designed to reduce the communication frequency between neighboring agents and to ensure consensus of leaderless and leader-following MASs. By utilizing the Lyapunov direct method, some consensus criteria are obtained for leaderless and leader-following MASs with switching topologies. It is shown that the HETICS excludes the Zeno behavior. Several numerical examples and simulations are given to illustrate the effectiveness of the proposed consensus strategy and a comparison with previous consensus control methods is given.

In this article, the sampled-data-based event-triggered synchronization control for fractional and impulsive complex networks (CNs) with time-varying delay is investigated and a class of more general network structure based on the switching topologies at impulsive instants is considered. First, a class of novel fractional-order integral inequalities is produced to obtain depend-delay synchronization criteria and estimate Lyapunov–Krasovskii functions. Then, a sampled-data-based event-triggered control is designed, which can ensure synchronization of fractional and impulsive CNs (FICNs) with time-varying delay. Next, by using the Lyapunov direct method, some criteria are obtained to guarantee the synchronization of FICNs. Numerical simulations are given to demonstrate that the designed sampled-data-based event-triggered synchronization strategy can effectively not only achieve synchronization of FICNs but reduce the frequency of controller update compared to the previous related works.