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Resilient Filtering for Delayed Markov Jump Neural Networks via Event-triggered Strategy

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  • Control Theory and Applications
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Abstract

This paper deals with the event triggered filtering problem for a class of delayed discrete-time Markov jump neural networks, where a resilient filter with parameter uncertainties is adopted. The aim of this paper is to design a suitable filter which ensures that the filtering error system is stochastically stable and satisfies a prescribed mixed passivity and H∞ performance. Sufficient conditions for solvability of such a problem are developed. Based on the obtained conditions, an explicit expression of the desired resilient filter is proposed. Finally, an example is presented to show the usefulness of the proposed scheme.

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Author information

Authors and Affiliations

  1. School of Engineering, Huzhou University, Huzhou, 313000, China

    Weifeng Xia, Zuxin Li & Shuxin Du

  2. School of Science, Huzhou University, Huzhou, 313000, China

    Yongmin Li

  3. School of Electrical and Information Engineering, Jiangsu University of Technology, Changzhou, 213001, China

    Bo Li

  4. School of Automation, Nanjing University of Science and Technology, Nanjing, 210094, China

    Wenbin Chen

Authors
  1. Weifeng Xia
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  2. Yongmin Li
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  3. Zuxin Li
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  4. Shuxin Du
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  5. Bo Li
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  6. Wenbin Chen
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Corresponding author

Correspondence to Weifeng Xia.

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This work was supported in part by the Natural Science Foundation of Zhejiang Province (LY21F030001), and in part by the National Natural Science Foundation of China (61673169, 61903166).

Weifeng Xia received his B.S. and M.S. degrees in mathematics from Hangzhou Normal University, China in 2001 and 2006, respectively, and Ph.D. degree in control theory and control engineering from Nanjing University of Science and Technology, in 2019. Since 2006, he joined Huzhou University, Zhejiang, China, where he is currently an associate professor with the School of Engineering. His current research interests include robust control and filtering, time-delay systems.

Yongmin Li received his B.S. degree in mathematics from Shanxi Normal University, an M.S degree in operational research and cybernetics from Guizhou University and a Ph.D. degree in control theory and control engineering from Nanjing University of Science and Technology, in 1992, 2002, and 2008, respectively. He is currently a professor of School of Science, Huzhou University, Huzhou, China. His current research interest include mathematical inequality, robust control, anti-windup compensator design and time-delay systems.

Zuxin Li was born in Zhejiang Province, China, in 1972. He received his B.S. degree in industrial automation from Zhejiang University of Technology, China, in 1995, an M.S. degree in communication and information system from Yunnan University, China, in 2002, and a Ph.D. degree in control theory and control engineering from Zhejiang University of Technology, China, in 2008. From May 2009 to March 2013, he was a Postdoctoral Research Fellow with Institute of Cyber-Systems and Control, Zhejiang University, China. From August to November 2013, he was a visiting scholar in Dalhousie University, Canada. Currently, he is a Full Professor with the School of Engineering, Huzhou University, China. His research interests include networked control systems, robust control, estimation, prognostics and health management.

Shuxin Du received his Ph.D. degree in aircraft control, guidance and simulation from Northwestern Polytechnical University in 1995. From September 1995 to September 1997, he worked as a postdoctoral fellow in the Institute of Industrial Process Control, Zhejiang University. From September 1997 to September 2015, he was an associate professor in the Department of Control Science and Engineering, Zhejiang University. He is currently a professor of Engineering College of Huzhou University. His research interests include control theory and application, pattern recognition and intelligent systems, online measurement of quality parameters based on spectrum.

Bo Li received his B.S. degree in electrical engineering and automation from Northwestern Polytechnical University, China in 2007 and a Ph.D. degree in control theory and control engineering from Nanjing University of Science and Technology, China in 2015. Now he works in the School of Electrical and Information Engineering, Jiangsu University of Technology. His research work is in the areas of robust control, stochastic systems control and so on.

Wenbin Chen received his B.S. in applied mathematics in 2010 from Suzhou University, Suzhou, China, his M.S. in applied mathematics in 2013 from Anhui Normal University, Anhui, China. He is currently studying for a Ph.D. degree at School of Automation, Nanjing University of Science and Technology, Nanjing, Jiangsu, China. His research interests include robust control, time-delay system, and singular system.

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Xia, W., Li, Y., Li, Z. et al. Resilient Filtering for Delayed Markov Jump Neural Networks via Event-triggered Strategy. Int. J. Control Autom. Syst. 19, 3332–3342 (2021). https://doi.org/10.1007/s12555-020-0678-0

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  • DOI: https://doi.org/10.1007/s12555-020-0678-0

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