This paper considers the finite‐time synchronization problem of complex networks with hybrid‐coupled time‐varying delay. We combine aperiodically intermittent pinning control method and event‐triggered control method to design the controller, which can guarantee that the states of all nodes can realize synchronization in the finite‐time. The event‐triggered mechanism is introduced according to the difference of error values between nodes and reduces the communication frequency. Besides, the pinning nodes are reselected at each triggered moment by a given algorithm. Based on the appropriate inequality scaling technique and Lyapunov function, the finite‐time synchronization criteria are obtained for the given network system model. Finally, the feasibility of the theoretical results is proved through a simulation example.
In this paper, the voltage and frequency regulation of microgrid with unknown disturbances and non-linear dynamics was studied. The disturbance observer was designed and the sliding mode control (SMC) method was used to realize the secondary regulation of voltage and frequency. First, a distributed secondary control protocol was designed to reduce the communication burden between generators and to solve voltage and frequency deviations. Second, a consensus protocol for secondary control of voltage and frequency was designed, based on the idea of multi-agent consensus, to indirectly ensure that the voltage and frequency to be adjusted reach the reference values when the consensus is realized. In addition, considering unknown disturbances in the microgrid, a sliding mode control strategy, based on a disturbance observer, was designed to overcome the influence of disturbances and to reduce chatter. This SMC scheme ensured finite time accessibility of the sliding mode surface. This design provides sufficient conditions for voltage and frequency regulation. The effectiveness of this design scheme was verified through simulation.
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