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Robust Mixed H2/H∞ Control for An Uncertain Wireless Sensor Network Systems with Time Delay and Packet Loss

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Abstract

In this paper, the problem of robust mixed H2/H∞ control is studied for an uncertain wireless sensor network (WSN) systems with random time delay, packet loss and sensor faults. A system model is established based on the characteristics of uncertain time delay and packet loss in WSN. In this model, system uncertainties are represented by random time delay and stochastic packet loss, which are described by a Markov chain. By using a Lyapunov-Krasovskii function, a mode-dependent mixed H2/H∞ controller is designed to guarantee both the stochastic stability of the closed-loop system and the prescribed H2, H∞ control performances. The sufficient conditions for the existence of the controller are proved by a series of Linear Matrix Inequalities (LMIs). If these LMIs are feasible, the mode-dependent mixed H2/H∞ controller can be obtained. Matlab LMI toolbox is used to calculate the control law. Finally, a numerical example and its simulation results demonstrated the effectiveness of the proposed method.

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Author information

Authors and Affiliations

  1. School of Information Science and Engineering, Northeastern University, Liaoning Shenyang, 110819, China

    Yuanbo Shi, Jianhui Wang, Xiaoke Fang, Yueyang Huang & Shusheng Gu

  2. School of Computer and Communication Engineering, Liaoning Shihua University, Liaoning Fushun, 113001, China

    Yuanbo Shi

  3. School of Information and Control Engineering, Liaoning Shihua University, Liaoning Fushun, 113001, China

    Yueyang Huang

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  1. Yuanbo Shi
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Correspondence to Yuanbo Shi.

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Publisher’s Note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Recommended by Associate Editor M. Chadli under the direction of Editor PooGyeon Park. This work was partly supported by the National Natural Science Foundation of China (No.61433004).

Yuanbo Shi was born in Liaoning Province, China, in 1981. He received his B.S. degree in computer science and technology from Liaoning Shihua University, Fushun, Liaoning, China, in 2004, his M.S. degree in computer Applications technology from Liaoning Shihua University, Fushun, Liaoning, China, in 2007. He is pursuing a Ph.D. degree in control theory and control engineering from Northeastern University of Information Science and Engineering, Shenyang, Liaoning, China. He is a lecture at School of computer and communication Engineering, Liaoning Shihua University, Fushun, Liaoning, China. His research interests include modeling of wireless sensor networks, control of wireless sensor network and pattern recognition.

Jianhui Wang was born in Liaoning Province, China, in 1957. She received her B.S., M.S., and Ph.D. degrees in Electrical Engineering from Northeastern University, China, in 1982, 1986, and 1999, respectively. Her research interests include complex industrial process modeling, control and optimization, rehabilitation robot, intelligent control and so on. Now, she is a full professor and doctoral supervisor at School of Information Science and Engineering, Northeastern University, Shenyang, Liaoning, China. Her current research interests include intelligent control theory and its application.

Xiaoke Fang was born in Liaoning Province, China, in 1973. She received her B.S., M.S., and Ph.D. degrees in Electrical Engineering from Northeastern University, China. She worked as a teacher in the Northeastern University, and became a lecturer in 2000, Her research interests include intelligent control theory and application.

Yueyang Huang was born in Liaoning Province, China, in 1981. She received her B.S. degree in automatic control from Liaoning Shihua University, Fushun, Liaoning China, in 2004, her M.S. degree in control theory and control engineering from Liaoning Shihua University, Fushun, Liaoning, China, in 2007. She is pursuing a Ph.D. degree in control theory and control engineering from Northeastern University of Information Science and Engineering, Shenyang, Liaoning, China. She is a lecturer at the School of Information and Control Engineering, Liaoning Shihua University, Fushun, Liaoning, China. Her research interests include wireless sensor networks, predictive control and advanced control for industrial processes.

Shusheng Gu was born in Heilongjiang Province, China, in 1939. He received his B.S. degree in Automation from Northeastern University, China, in 1969. His research interests include modern integrated control system and real time intelligent control system. He was a deputy director of the teaching and Guidance Committee of the National Institute of automation of China automation society, and a deputy director of the Liaoning branch of the China Automation Society.

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Shi, Y., Wang, J., Fang, X. et al. Robust Mixed H2/H∞ Control for An Uncertain Wireless Sensor Network Systems with Time Delay and Packet Loss. Int. J. Control Autom. Syst. 19, 88–100 (2021). https://doi.org/10.1007/s12555-018-0508-9

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  • DOI: https://doi.org/10.1007/s12555-018-0508-9

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