With the increase in the amount of tasks offtoaded to the network edge

the energy supply of edge devices has become a challenge worthy of attention. It is a feasible way to use renewable energy to supply energy for edge devices

but production of renewable energy has certain uncertainty and stochasticity. In order to provide sufficient energy to ensure stable operation of edge devices

energy Internet (EI) provides an idea

that is

different edge devices are connected with distributed small energy supply and storage systems. As the core equipment of energy Internet

energy router (ER) plays an important role in information transmission

energy transmission and system control. In this paper

the concept of edge energy router is proposed

which has the ability of task computing and scheduling similar to edge computing server

as well as the ability of energy transmission and system control of energy router. Each edge energy router is connected with loads

photovoltaic panel (PV)

micro turbine (MT) and battery energy storage (BES) to form a self-sufficient microgrid (MG) system. However

there exists a delay in energy transmission and task scheduling between different ERs. Moreover

the DC bus voltage stability of each edge energy router system is negatively affected by internal uncertainty

stochasticity and external interference. Therefore

the system is modeled by Markov jump ODEs with time delay

and robust control of DC bus voltage deviation is discussed in this paper. The linear matrix inequality (LMI) method is used to solve this Markov jump control problem. Finally

numerical simulations show the effectiveness of the proposed method.