Game-theoretic demand-side management and closed-loop control for a class of networked smart grid

作     者：Zhu, Bing Xia, Kewei Xia, Xiaohua 

作者机构：Beihang Univ Sch Automat Sci & Elect Engn Res Div 7 Beijing 100191 Peoples R China Beihang Univ Sci & Technol Aircraft Control Lab Beijing 100191 Peoples R China Univ Pretoria Dept Elect Elect & Comp Engn ZA-0028 Pretoria South Africa 

出 版 物：《IET CONTROL THEORY AND APPLICATIONS》 (IET Control Theory Appl.)

年 卷 期：2017年第11卷第13期

页      面：2170-2176页

核心收录：

学科分类：0808[工学-电气工程] 08[工学] 0804[工学-仪器科学与技术] 0811[工学-控制科学与工程] 

主　　题：game theory demand side management evolutionary computation closed loop systems smart power grids robust control game-theoretic demand-side management networked smart grid evolutionary game structural matrix closed-loop feedback control Nash equilibrium robust control 

摘      要：A new systematic scheme is proposed for demand-side management and control of a class of networked smart grid. The networked smart grid is modelled into an evolutionary game, and the theory of semi-tensor product is applied to analyse its dynamic behaviours. By using a newly defined stacked form of structural matrix, a closed-loop feedback control is designed to shape the structural matrix of the evolutionary game, such that the Nash equilibrium (with respect to minimum total cost) can be reached and maintained. Based on the proposed feedback control, a robust control can be designed for the smart grid to reach the Nash equilibrium in case of model uncertainties resulted from fake behaviours of some users. Examples are provided to illustrate the theoretical results.