Initialization-free distributed prescribed-time consensus based algorithm for economic dispatch problem over directed network

Abstract

To minimize the overall generation cost under the restrictions of supply and demand balance and individual generator capacity, the economic dispatch problem (EDP) over directed communication network is considered in this research. This article develops a distributed consensus-based algorithm to solve the EDP that can uniformly pre-assign the settling time. Different from the work with finite-time/fixed-time control, the proposed one allows the settling time to be a user-defined parameter independent of the initial states and other parameters. Moreover, the algorithm does not require initialization and allows the online changes of participating nodes and load demand, it can handle dynamic changes with a pre-arranged convergence time according to the need of the application. In addition, only a dual variable is exchanged with neighboring nodes, and no private information of the node is disclosed. Finally, the simulation results verify the effectiveness of our algorithm.