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An Investigation of Stability Criteria for Sampled-data Control System Using New Integral Inequality for Application to Electric Power Market

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  • Control Theory and Applications
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Abstract

This article focuses on the stability problem of sampled-data systems, which is addressed using a new integral inequality. A method for systematic analysis is presented, then applied to the electric power market. The sampling point from tk to tk+1 assume to be a sampling interval but bounded. In addition, we develop a novel closed-loop Lyapunov functional that considers intervals from the sampling point t to tk and from t to tk+1. This new functional is utilized to derive a stability criterion that is less conservative than previous works based on novel integral inequalities for sampled-data systems. Numerical examples are proposed to demonstrate the efficacy and decreased conservatism of the suggested approach. Additionally, the method addresses the stability issue in electric power markets and explores the importance of reducing conservatism.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen, 40002, Thailand

    Arthit Hongsri, Wajaree Weera & Thongchai Botmart

  2. Department of Statistics, Faculty of Science, Khon Kaen University, Khon Kaen, 40002, Thailand

    Prem Junsawang

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  1. Arthit Hongsri
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  2. Wajaree Weera
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Correspondence to Thongchai Botmart.

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This research was supported by the Fundamental Fund of Khon Kaen University. The research on ‘An Investigation of Stability Criteria for Sampled-data Control System Using New Integral Inequality for Application to Electric Power Market’ by Khon Kaen University has received funding support from the National Science, Research and Innovation Fund or NSRF.

Arthit Hongsri received his B.S. degree in mathematics in 2017 and an M.S. degree in applied mathematics in 2019 from Khon Kaen University, Khon Kaen, Thailand. He recently received a Ph.D. degree in applied mathematics from the Department of Mathematics, Faculty of Science, Khon Kaen University. He has been supported by the Science Achievement Scholarship of Thailand (SAST). His research interests include stability of time-delay systems, synchronization, control theory, and complex dynamical networks.

Wajaree Weera received her B.S. degree in mathematics, an M.S. degree in applied mathematics, and a Ph.D. degree in mathematics from Chiang Mai University, Chiang Mai, Thailand, in 2005, 2007, and 2015, respectively. She is currently an Assistant Professor with the Department of Mathematics, Faculty of Science, Khon Kaen University. Her research interests include stability theory of time-delay systems, stability analysis, neutral systems, switched systems, and artificial neural networks.

Prem Junsawang received his B.Sc. degree (Hons.) in mathematics from Khon Kaen University, Khon Kaen, Thailand, in 2004, and an M.Sc. degree in computational science and a Ph.D. degree in computer science from Chulalongkorn University, Bangkok, Thailand, in 2008 and 2018, respectively. He is currently a Lecturer with the Department of Statistics, Faculty of Science, Khon Kaen University. His research interests include artificial neural networks, synchronization, and pattern.

Thongchai Botmart received his B.S. degree in mathematics in 2002 from Khon Kaen University, Khon Kaen, Thailand, an M.S. degree in applied mathematics in 2005 from Chiang Mai University, Chiang Mai, Thailand, and a Ph.D. degree in mathematics in 2011 from Chiang Mai University, Chiang Mai, Thailand. He is currently an associate professor at the Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen, Thailand. His research interests include stability theory of time-delay systems, non-autonomous systems, switched systems, artificial neural network, complex dynamical network, synchronization, control theory, and chaos theory.

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Hongsri, A., Weera, W., Junsawang, P. et al. An Investigation of Stability Criteria for Sampled-data Control System Using New Integral Inequality for Application to Electric Power Market. Int. J. Control Autom. Syst. 21, 3945–3956 (2023). https://doi.org/10.1007/s12555-023-0291-0

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  • DOI: https://doi.org/10.1007/s12555-023-0291-0

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