摘要
This paper investigates stability problem of DC micro-grid under disturbance.Tracking control based on the sampled H∞controller is designed for solving such problem.First,it sets up the model of the DC micro-grid with the energy storage unit.Next,it presents the model for the closed-loop control system and the design method for the sampled state feedback controller.Then,it gives the sampled H∞performance analysis by considering the sampled quantisation error as an external disturbance term of the system.It derives one sufficient condition for stabilisation of the DC micro-grid based on linear matrix inequalities and Lyapunov theory.Finally,simulations verify the validity of our results.
基金
The work was supported by the Natural Science Foundation of China[grant numbers 61673188,61603212,61761130081 and 61876097]
the Foundation for Innovative Research Groups of Hubei Province of China[grant number 2017CFA005]
the Fundamental Research Funds for the Central Universities of HUST[grant number 2018KFYXKJC051]
the Research Funds for Hubei Key Laboratory of Applied Mathematics(Hubei University).