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Dissipative Fault Detection for Nonlinear Markov Jump Systems With Cyber Attacks and Hidden Mode Information Under Round-robin Protocol

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  • Control Theory and Applications
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Abstract

This paper addresses the problem of dissipative fault detection (FD) for nonlinear Markov jump systems (MJSs) with cyber attacks and hidden modal information, in which the round-robin (R-R) protocol is introduced to save network bandwidth. Two Bernoulli random variables are used to characterize the measurement affected by potential cyber attacks. The hidden Markov model (HMM) is employed to handle the phenomenon of hidden mode information. Subsequently, the sufficient conditions are derived based on the Lyapunov stability theory to ensure that the FD system is stochastically stable and stochastically strictly (Q1, Q2, Q3)-γ dissipative. The desired FD filter matrices are obtained by solving linear matrix inequalities (LMIs). Finally, a simulation is provided to verify the feasibility and effectiveness of the designed FD scheme.

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Authors and Affiliations

  1. School of Automation, Harbin University of Science and Technology, Harbin, 150080, China

    Zhihui Wu

  2. Heilongjiang Provincial Key Laboratory of Optimization Control and Intelligent Analysis for Complex Systems, Harbin University of Science and Technology, Harbin, 150080, China

    Zhihui Wu

  3. Department of Mathematics, Harbin University of Science and Technology, Harbin, 150080, China

    Siteng Ma, Dongyan Chen & Xue Zhao

  4. School of Automation, Harbin University of Science and Technology, Harbin, 150080, China

    Cai Chen

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  1. Zhihui Wu
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Correspondence to Zhihui Wu.

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This work was supported by the Natural Science Foundation of Heilongjiang Province of China under Grant YQ2020A004 and the National Natural Science Foundation of China 12071102.

Zhihui Wu received his B.Sc. degree in information and computation science and an M.Sc. degree in applied mathematics from Hefei University of Technology, Hefei, China, in 2005 and 2008, respectively, and a Ph.D. degree in management science and engineering from Harbin University of Science and Technology, Harbin, China, in 2017. From September 2019 to September 2020, he was a Visiting Scholar with the School of Engineering, University of South Wales, Cardiff, UK. He is currently an Associate Professor with the School of Automation, Harbin University of Science and Technology, Harbin, China. His current research interests include robust control and filtering, fault detection, system optimization, and supply chain management.

Siteng Ma received his B.S. degree in mathematics and applied mathematics from Zhengzhou University of Light Industry, Zhengzhou, China, in 2019. He is currently working toward an M.S. degree in operational research and cybernetics from the Department of Mathematics, Harbin University of Science and Technology, Harbin, China. His current research interests include dissipative fault detection for discrete-time nonlinear Markov jump systems under various communication protocols.

Cai Chen received his B.S. degree in automation from Harbin Engineering University in 2004. He received his M.S. and Ph.D. degrees in control science and engineering from the Harbin Institute of Technology, in 2007 and 2010, respectively. He is currently an Associate Professor with the School of Automation, Harbin University of Science and Technology, Harbin, China. His research interests include circuit system and its application, fault detection, motion control, theory and new technology of electrical engineering, inertial device testing, and parameter identification.

Dongyan Chen received her B.S. degree in mathematics from Northeast Normal University, Changchun, China, in 1985, an M.S. degree in operational research from Jilin University, Changchun, China, in 1988, and a Ph.D. degree in aerocraft design from Harbin Institute of Technology, Harbin, China, in 2000. She is now a Professor and Ph.D. Supervisor with the Department of Mathematics, Harbin University of Science and Technology, Harbin, China. Her current research interests include robust control, time-delay systems, optimization approach, system optimization, and supply chain management.

Xue Zhao received her B.S. degree in mathematics and applied mathematics from Qufu Normal University, **ing, China, in 2020. She is currently working toward an M.S. degree in operational research and cybernetics from the Department of Mathematics, Harbin University of Science and Technology, Harbin, China. Her current research interests include finite-time fault detection for nonlinear delayed system with incomplete measurement information.

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Wu, Z., Ma, S., Chen, C. et al. Dissipative Fault Detection for Nonlinear Markov Jump Systems With Cyber Attacks and Hidden Mode Information Under Round-robin Protocol. Int. J. Control Autom. Syst. 21, 3617–3629 (2023). https://doi.org/10.1007/s12555-022-0630-6

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