Stability analysis of sampled-data control system and its application to electric power market

被引：6

作者：

Zhang T. ^{[1
,2
]}

Xiao S. ^{[1
,2
]}

机构：

[1] School of Electrical and Information Engineering, Hunan University of Technology, Zhuzhou

[2] Key Laboratory for Electric Drive Control and Intelligent Equipment of Hunan Province, Zhuzhou

来源：

Chinese Journal of Electrical Engineering | 2020年 / 6卷 / 01期

基金：

中国国家自然科学基金;

关键词：

electric power market; sampled-data control system; Stability; two-sided closed-loop Lyapunov functional;

D O I：

10.23919/CJEE.2020.000005

中图分类号：

学科分类号：

摘要：

The stability of sampled-data systems is investigated using a new type of Lyapunov functional. The interval from the sampling point tk to tk+1 is assumed to be a sampling interval. By fully utilizing the characteristic information on the whole sampling interval, a new two-sided closed-loop Lyapunov functional is proposed, which utilizes the information on both the intervals from the sampling point t to tk and from t to tk+1. Based on the two-sided closed-loop Lyapunov functional and modified free-matrix-based inequality, a less conservative stability criterion is derived for a sampled-data control system, and three numerical examples are provided to verify the effectiveness and reduced conservativeness of the proposed method. Furthermore, the proposed method is applied to solve the stability problem of electric power markets, and the practical significance of reducing the conservativeness is discussed. © 2020 IEEE.

引用

页码：61 / 70

页数：9

共 29 条

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