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Event-based Finite-time Boundedness of Discrete-time Network Systems

Abstract

This paper deals with the event-based finite-time H control problem of discrete-time network control systems with norm bounded input disturbances and nonlinear stochastic functions. A network-induced delay stochastic model is first constructed by event-triggered approach. Utilizing stochastic analysis and event-triggered schemes, conditions on stochastic finite-time (FT) boundedness and stochastic H FT boundedness are then derived for the network model. Subsequently, an event-based finite-time controller and an event-triggered matrix are co-designed to ensure that the stochastic model is stochastically FT bounded or stochastically H FT bounded by utilizing matrix decomposition scheme. All derived criteria can be solved in terms of convex optimal method, and numerical examples demonstrate the validity of obtained results as well.

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Correspondence to Yingqi Zhang.

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Recommended by Associate Editor Guangdeng Zong under the direction of Editor Hamid Reza Karimi. This work was supported by the Foundation of Henan Educational Committee (18A110001), the Key Laboratory of Grain Information Processing and Control (Henan University of Technology) of Ministry of Education (KFJJ2016111) and the National Natural Science Foundation of China (61773154).

Yingqi Zhang received his Ph.D. degree from the Department of Mathematics, Zhengzhou University of China, Zhengzhou, Henan, China, in 2009. Since 2016, he has been with the College of Science, Henan University of Technology, Zhengzhou, as a Professor. He has published over 60 refereed journal and conference papers on nonlinear control systems, robust control systems, fuzzy systems, nonlinear time-delay systems, and neural networks. He has reviewed for more than 30 Journals, such as the Automatica, the IEEE Transactions on Fuzzy Systems, the IEEE Transactions on Cybernetics, the International Journal of Robust and Nonlinear Control, the Journal of the Franklin Institute, the Information Sciences, the IET Control Theory and Applications, the Applied Mathematics Letters, and so forth. His research interests include stochastic systems, fuzzy systems, singular systems, finite-time control, robust control for uncertain systems, and network control systems.

Miaojun Zhan received his B.S. degree from the School of Sciences, Henan University of Technology, Zhengzhou, China. His research interests include switched systems, finite-time control, event-based network control, and robust control for uncertain systems. He is currently pursuing an M.S. degree with the Henan University of Technology, Zhengzhou, China.

Yan Shi received his B.Sc. degree in Applied Mathematics from Northeast Heavy Machinery Institute (now Yanshan University), China, 1982; an M.Sc. degree in Applied Mathematics from Dalian Maritime University, China, 1988; and a Ph.D. degree in Information and Computer Sciences, from Osaka Electro-Communication University, Japan, 1997. Dr. Shi is currently a professor at the Graduate School of Science and Technology, Tokai University, Japan. His research interests include approximate reasoning, fuzzy reasoning, fuzzy system modelling and applications, neuro-fuzzy learning algorithms for system identification. He has published over 200 papers in journals and conferences. He has actively served in a number of journals.

Caixia Liu received her master’s degree from the School of Natural and Applied Sciences, College of Science, Northwestern Polytechnical University, Xi’an, Shanxi, China, in 2005. Since 2012, she has been with the College of Science, Henan University of Technology, Zhengzhou, as an Associate Professor. Her research interests include stochastic systems, fuzzy systems, delayed systems, and finite-time control.

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Zhang, Y., Zhan, M., Shi, Y. et al. Event-based Finite-time Boundedness of Discrete-time Network Systems. Int. J. Control Autom. Syst. 18, 2562–2571 (2020). https://doi.org/10.1007/s12555-019-0934-3

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Keywords

  • Event-based control
  • network control systems
  • network-induced delay
  • stochasticaly finite-time boundedness