Stability Analysis of Sampled-data Control System and Its Application to Electric Power Market*

doi:10.23919/CJEE.2020.000005

Chinese Journal of Electrical Engineering ›› 2020, Vol. 6 ›› Issue (1): 61-70.doi: 10.23919/CJEE.2020.000005

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Stability Analysis of Sampled-data Control System and Its Application to Electric Power Market^*

Tian Zhang^1,2, Shenping Xiao^1,2,*

1. School of Electrical and Information Engineering, Hunan University of Technology, Zhuzhou 412007, China;
2. Key Laboratory for Electric Drive Control and Intelligent Equipment of Hunan Province, Zhuzhou 412007, China

Online:2020-03-25 Published:2020-04-09
Contact: *Email: 244282881@qq.com
About author:Tian Zhang received his B.S. degree in electrical engineering from Hunan University of Technology, Zhuzhou, China, from September 2014 to July 2018. He is currently a postgraduate student at Hunan University of Technology. His current research interest is robust control in power systems.
Shenping Xiao received the B.S. degree In automation from Northeastern University, Shenyang, China, in 1988, the M.S. degree in computer science from the Central South University of Forestry and Technology, Changsha, China, in 2002, and the Ph.D. degree in control theory and control engineering from Central South University, Changsha, in 2008. He has been with the Department of Electrical and Information Engineering, Hunan University of Technology, Zhuzhou, China, where he is currently a Professor of automatic control engineering. His current research interests are time-delay systems, networked control systems, and robust control in power systems.
Supported by:
* Supported by the National Natural Science Foundation of China (61672225)

Abstract

Abstract: The stability of sampled-data systems is investigated using a new type of Lyapunov functional. The interval from the sampling point t_k to t_k+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 t_k and from t to t_k+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.

Key words: Stability, sampled-data control system, two-sided closed-loop Lyapunov functional, electric power market

Tian Zhang, Shenping Xiao. Stability Analysis of Sampled-data Control System and Its Application to Electric Power Market^*[J]. Chinese Journal of Electrical Engineering, 2020, 6(1): 61-70.

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Stability Analysis of Sampled-data Control System and Its Application to Electric Power Market^*

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