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Compensation and stochastic modeling of discrete-time networked control systems with data packet disorder

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Abstract

Data packet disorder is inevitable in discrete-time networked control systems, which however has been ignored in most literature to date. This work investigates the cause and the negative effects of data packet disorder in discrete-time networked control systems, and a compensation scheme is proposed to deal with these negative effects. This analysis shows that most existing works in the related areas have assumed unrealistic characteristics of the communication network and thus further improvements within this new framework are necessary. For this purpose the closed-loop system with the use of the proposed compensation scheme is mathematically modeled as a Markov jump systems, and stochastic stability and stabilization results are then obtained. Numerical examples illustrate the negative effects caused by data packet disorder and also the effectiveness of the proposed approach.

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Authors and Affiliations

  1. Division of Biomedical Engineering, University of Glasgow, Glasgow, G12 8QQ, UK

    Yun-Bo Zhao & Jongrae Kim

  2. Faculty of Advanced Technology, University of Glamorgan, Pontypridd, CF37 1DL, UK

    Guo-Ping Liu & David Rees

  3. CTGT Centre, Harbin Institute of Technology, 150001, Harbin, China

    Yun-Bo Zhao & Guo-Ping Liu

Authors
  1. Yun-Bo Zhao
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  2. Jongrae Kim
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  3. Guo-Ping Liu
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  4. David Rees
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Corresponding author

Correspondence to Yun-Bo Zhao.

Additional information

Recommended by Editorial Board member Hamid Reza Karimi under the direction of Editor Shuzhi Sam Ge.

This work was supported by EPSRC research grant EP/ G036195/1, and in part by the National Natural Science Foundation of China under Grants 60934006, 61028010 and 61004020.

Yun-Bo Zhao is currently a Research Associate with the University of Glasgow, Glasgow, U.K.. He received his B.Sc. degree in mathematics from Shandong University, Shandong, China, in 2003, an M.Sc. degree in systems theory from the Institute of Systems Science, Chinese Academy of Sciences, Beijing, China, in 2007, and a Ph.D. degree from the University of Glamorgan, Pontypridd, U.K., in 2008. His research interests include systems biology, networked control systems, and Boolean networks.

Jongrae Kim is a Lecturer in the Biomedical Engineering Division, University of Glasgow, Glasgow, UK. He received his B.Eng. and M.Eng. degrees in Aerospace Engineering from the Inha University, Incheon, Korea in 1991 and 1996, respectively. In 2002, he graduated from Texas A&M University at College Station, Texas, USA with a Ph.D. in Aerospace Engineering. His main areas of research interest are robustness analysis, optimisation, stochastic dynamics, and parallel processing for control system design and analysis.

Guo-Ping Liu is a chair of control engineering in the University of Glamorgan. He received his B.Eng and M.Eng degrees in automation from the Central South University of Technology in 1982 and 1985, respectively, and his Ph.D. degree in control engineering from UMIST in 1992. He has been a professor in the University of Glamorgan since 2004, a Hundred-Talent Program visiting professor of the Chinese Academy of Sciences since 2001, and a Changjiang Scholar visiting professor of Harbin Institute of Technology since 2008. He is the editor-in-chief of the International Journal of Automation and Computing and an IEEE fellow and IET fellow. He has more than 400 publications on control systems and authored/co-authored 7 books. His main research areas include networked control systems, nonlinear system identification and control, modelling and control of fuel cell vehicles, advanced control of industrial systems, and multiobjective optimisation and control.

David Rees received his BSc (Honours) degree in electrical engineering from the University of Wales, College Swansea, UK in 1967 and his Ph.D. degree from the Council of National Academic Awards, UK in 1976. He is currently a part-time Reader in the Faculty of Advanced Technology, University of Glamorgan. He has published over 200 Journal and Conference publications. He is Fellow of the Institution of Engineering and Technology and a past Chairman of the IEE control Applications Professional Group. He was the recipient of an IEE Premium Award in 1996. His current research interests include nonlinear modelling, system identification and networked control systems.

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Zhao, YB., Kim, J., Liu, GP. et al. Compensation and stochastic modeling of discrete-time networked control systems with data packet disorder. Int. J. Control Autom. Syst. 10, 1055–1063 (2012). https://doi.org/10.1007/s12555-012-0524-0

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  • DOI: https://doi.org/10.1007/s12555-012-0524-0

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