Output Synchronization of Multiple FOSMIB Power Systems

This paper considers the cooperative output synchronization of networked fractional-order single-machine infinite-bus (FOSMIB) power systems, in which the agent's dynamic is modeled by fractional-order derivative in spite of parametric uncertainties. Combining Backstepping approach together with Graph Theory, a distributed adaptive controller is designed recursively for each agent to drive its output synchronized to its neighbors in the network while other variables in the overall system maintain bounded. It is proved that under the topology condition that the graph is connected and at least one agent can obtain the leader's information, all agents outputs can be synchronized to the leader, i.e., cooperative output synchronization of the network is achieved. The distributed controller for each agent has three parts: state feedback of itself, neighborhood information obtained from its neighbors, and parameter updates for the unknown parameters in its dynamic. Simulation result has been presented to verify the effectiveness of the proposed controller.