A distributed algorithm with less communication for resource allocation problem

This study researches the conventional constrained distributed static convex optimization problem in the Energy internet, where the sum of cost functions are time invariant. To reduce its communication burden over the Energy internet, an innovative decentralized control protocol for both first- and second-order systems companied by event-based broadcast mechanism is designed. Furthermore, the local constraints are known only by each generator itself. Moreover, the proposed decentralized control methods are initialization free. For overcoming the inequality generating capacity constraints by designing a projected relationship. Furthermore, the proposed dynamic state-dependent event-based scheme is unaffected by Zeno behaviour. Finally, several cases are shown for revealing the reasonableness of the designed control protocol.