Robust H∞ control of DC microgrid with uncertain value bounds

Journal of Lanzhou University of Technology ›› 2023, Vol. 49 ›› Issue (5): 77-85.

• Automation Technique and Computer Technology • Previous Articles Next Articles

Robust H_∞ control of DC microgrid with uncertain value bounds

WANG Xiao-lan^1,2,3, CHEN Shuang^1,2

1. School of Electrical and Information Engineering, Lanzhou Univ. of Tech., Lanzhou 730050, China;
2. Gansu Provincial Key Laboratory of Advanced Control of Industrial Processes, Lanzhou Univ. of Tech., Lanzhou 730050, China;
3. National Experimental Teaching Demonstration Center of Electrical and Control Engineering, Lanzhou Univ. of Tech., Lanzhou 730050, China

Received:2021-11-14 Online:2023-10-28 Published:2023-11-07

Abstract

Abstract: Aiming at the problem of parameter uncertainty in the DC microgrid, a robust H_∞ control method based on LMI is proposed to ensure the stability of the DC bus voltage of the system. First,the norm-bounded uncertain small signal model of the DC microgrid is established. Secondly, according to the Lyapunov stability principle, the sufficient conditions for the existence of the LMI-based controller are derived. The design of the robust H_∞ controller is transformed into an optimization problem with linear matrix inequalities, and then the state feedback control law is obtained, so that each subsystem and the associated large-scale system can be stabilized, anda feasible solution exists for the robust H_∞ controller. Finally, numerical simulation is performed by Matlab to analyze the characteristics of the DC bus voltage under the change of microgrid structure, connection line parameters and load parameters, and verify the feasibility of the control method.

Key words: DC microgrid, uncertain parameters, robust H_∞ control, linear matrix inequality(LMI)

CLC Number:

TM315

WANG Xiao-lan, CHEN Shuang. Robust H_∞ control of DC microgrid with uncertain value bounds[J]. Journal of Lanzhou University of Technology, 2023, 49(5): 77-85.

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Robust H_∞ control of DC microgrid with uncertain value bounds

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