数值界不确定直流微电网的鲁棒H∞控制

兰州理工大学学报 ›› 2023, Vol. 49 ›› Issue (5): 77-85.

• 自动化技术与计算机技术 • 上一篇下一篇

数值界不确定直流微电网的鲁棒H_∞控制

王晓兰^*1,2,3, 陈爽^1,2

1.兰州理工大学电气工程与信息工程学院, 甘肃兰州 730050;
2.兰州理工大学甘肃省工业过程先进控制重点实验室, 甘肃兰州 730050;
3.兰州理工大学电气与控制工程国家级实验教学示范中心, 甘肃兰州 730050

收稿日期:2021-11-14 出版日期:2023-10-28 发布日期:2023-11-07
通讯作者: 王晓兰(1963-),女,甘肃天水人,教授,博导. Email:wangzt@lut.edu.cn
基金资助:
国家自然科学基金(61963024)

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

摘要/Abstract

摘要： 针对直流微电网中参数不确定问题,提出了基于LMI的鲁棒H_∞控制方法,以保证系统直流母线电压稳定.首先,建立直流微电网的范数有界不确定小信号模型.其次,根据Lyapunov稳定性原理,推导了基于LMI的控制器存在的充分条件,把鲁棒H_∞控制器的设计转化为具有线性矩阵不等式的优化问题,进而求出状态反馈控制律,使得每个子系统和关联大系统都可镇定,且鲁棒H_∞控制器存在可行解.最后,通过Matlab进行数值仿真,分析了微电网结构变化、连接线路参数和负载参数变化情况下直流母线电压的特性,验证了该控制方法的可行性.

关键词: 直流微电网, 参数不确定, 鲁棒H_∞控制, 线性矩阵不等式

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)

中图分类号:

TM315

王晓兰, 陈爽. 数值界不确定直流微电网的鲁棒H_∞控制[J]. 兰州理工大学学报, 2023, 49(5): 77-85.

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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数值界不确定直流微电网的鲁棒H_∞控制

Robust H_∞ control of DC microgrid with uncertain value bounds

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数值界不确定直流微电网的鲁棒H_∞控制

Robust H_∞ control of DC microgrid with uncertain value bounds