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Study on robust H ∞ filtering in networked environments

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Abstract

This paper is concerned with the robust H ∞ filter problem for networked environments, which are subject to both transmission delay and packet dropouts randomly. By employing random series which have Bernoulli distributions taking value of 0 or 1, the data transmission model is obtained. Based on state augmentation and stochastic theory, the sufficient condition for robust stability with H ∞ constraints is derived for the filtering error system. The robust filter is designed in terms of feasibility of one certain linear matrix inequality (LMI), which is formed by adopting matrix congruence transformations. A numerical example is given to show the effectiveness of the proposed filtering method.

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References

  1. J. Nilsson, B. Bernhardsson, B. Wittenmark. Stochastic analysis and control of real-time systems with random time delays. Automatica, vol. 34, no. 1, pp. 57–64, 1998.

    Article  MATH  MathSciNet  Google Scholar 

  2. T. C. Yang. Networked control system: A brief survey. Control Theory and Applications, vol. 153, no. 4, pp. 403–412, 2006.

    Article  Google Scholar 

  3. T. M. Cheng, V. Malyavej, A. V. Savkin. Decentralized robust set-valued state estimation in networked multiple sensor systems. Computers & Mathematics with Applications, vol. 59, no. 8, pp. 2636–2646, 2010.

    Article  MATH  MathSciNet  Google Scholar 

  4. W. A. Zhang, L. Yu, H. B. Song. H ∞ filtering of networked discrete-time systems with random packet losses. Information Sciences, vol. 179, no. 22, pp. 3944–3955, 2009.

    Article  MATH  MathSciNet  Google Scholar 

  5. Y. Liang, T. W. Chen, Q. Pan. Multi-rate stochastic H ∞ filtering for networked multi-sensor fusion. Automatica, vol. 46, no. 2, pp. 437–444, 2010.

    Article  MATH  Google Scholar 

  6. J. P. Hespanha, P. Naghshtabrizi, Y. G. Xu. A survey of recent results in networked control systems. Proceedings of the IEEE, vol. 95, no. 1, pp. 138–162, 2007.

    Article  Google Scholar 

  7. Z. D. Wang, F. W. Yang, D. W. C. Ho, X. H. Liu. Robust H ∞ filtering for stochastic time-delay systems with missing measurements. IEEE Transactions on Signal Processing, vol. 54, no. 7, pp. 2579–2587, 2006.

    Article  Google Scholar 

  8. M. Sahebsara, T. Chen, S. L. Shah. Optimal H 2 filtering in networked control systems with multiple packet dropout. IEEE Transactions on Automatic Control, vol. 52, no. 8, pp. 1508–1513, 2007.

    Article  MathSciNet  Google Scholar 

  9. M. Sahebsara, T. Chen, S. L. Shah. Optimal H ∞ filtering in networked control systems with multiple packet dropouts. Systems & Control Letters, vol. 57, no. 9, pp. 696–702, 2008.

    Article  MATH  MathSciNet  Google Scholar 

  10. S. L. Sun, L. H. Xie, W. D. Xiao, Y. C. Soh. Optimal linear estimation for systems with multiple packet dropouts. Automatica, vol. 44, no. 5, pp. 1333–1342, 2008.

    Article  MathSciNet  Google Scholar 

  11. Y. Liang, T. W. Chen, Q. Pan. Optimal linear state estimator with multiple packet dropouts. IEEE Transactions on Automatic Control, vol. 55, no. 6, pp. 428–1433, 2010.

    MathSciNet  Google Scholar 

  12. H. L. Dong, Z. D. Wang, H. J. Gao. Robust H ∞ filtering of nonlinear networked systems with multiple stochastic communication delays. In Proceedings of the 7th Asian Control Conference, IEEE, Hong Kong, PRC, pp. 203–208, 2009.

    Google Scholar 

  13. Y. Zhang, A. G.Wu, G. R. Duan. Enhanced H ∞ filtering for continuous-time state-delayed systems. International Journal of Automation and Computing, vol. 6, no. 2, pp. 159–163, 2009.

    Article  Google Scholar 

  14. X. Sun, Q. L. Zhang, C. Y. Yang, Z. Su, Y. Y. Shao. An improved approach to delay-dependent robust stabilization for uncertain singular time-delay systems. International Journal of Automation and Computing, vol. 7, no. 2, pp. 205–212, 2010.

    Article  Google Scholar 

  15. J. H. Lee, S. W. Kim, W. H. Kwon. Memoryless H ∞ controllers for state delayed systems. IEEE Transactions on Automatic Control, vol. 39, no. 1, pp. 159–162, 1994.

    Article  MATH  MathSciNet  Google Scholar 

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Authors and Affiliations

  1. Department of Automation, Shanghai Jiao Tong University, Shanghai, 200240, PRC

    Yun-Ze Cai, Jian-Xi Gao & Xiao-Ming Xu

  2. Shanghai Academy of Systems Science, Shanghai, 200093, PRC

    Yun-Ze Cai, Jian-Xi Gao & Xiao-Ming Xu

  3. Department of Electronics and Information Systems, Akita Prefectural University, Yuri-Honjo, Akita, 015-0055, Japan

    Li Xu

Authors
  1. Yun-Ze Cai
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  2. Li Xu
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  3. Jian-Xi Gao
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  4. Xiao-Ming Xu
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Correspondence to Yun-Ze Cai.

Additional information

This work was supported by National Natural Science Foundation of China (No. 61004088), the Key Foundation for Basic Research from Science and Technology Commission of Shanghai (No. 09JC1408000), and the Aeronautic Science Foundation of China (No. 20100157001).

Yun-Ze Cai graduated from Northwestern Polytechnical University (NWPU), Xi’an, PRC in 1997. She received the M. S. degree from NWPU in 2000 and the Ph.D. degree from Shanghai Jiao Tong University (SJTU), Shanghai, PRC in 2003. She was a visiting scholar in Akita Prefectural University of Japan and Boston University of USA in 2008 and 2010, respectively, and she is currently an associate professor at the Department of Automation in SJTU. She is a member of the Young Scientists Working Committee, Chinese Association of Automation.

Her research interests include robust filtering for networked systems and complex systems.

Li Xu received his B. Sc. degree in automatic control from Huazhong University of Science and Technology, PRC in 1982. He received his M. Sc and Ph.D. degrees from Toyohashi University of Technology, Japan in 1990 and 1993, respectively. In 1998, he was a faculty member at Asahi University School of Business Administration, Japan. Currently, he is a professor in the Department of Electronics and Information Systems, Akita Prefectural University, Japan. He is a senior member of IEEE.

His research interests include multidimensional system theory and applications, multidimensional signal processing, and computer algebra in control engineering applications.

Jian-Xi Gao received the B. Sc. degree in process equipment and control engineering from Dalian University of Technology, Dalian, PRC in 2006. He received the M. Sc. degree from Shanghai Jiao Tong University in 2009. Currently, he is a Ph.D. candidate at Shanghai Jiao Tong University.

His research interests include complex system theory and applications, complex networks, multi-agent system and its application.

Xiao-Ming Xu received the B. Sc. degree in automatic control from Huazhong University of Science and Technology, PRC in 1982. He received the M. Sc. and the Ph.D. degrees in control theory and control engineering from Shanghai Jiao Tong University, PRC in 1984 and 1987, respectively. He is a professor in the Department of Automation, Shanghai Jiao Tong University, PRC. Since 2004 he has worked as a president in University of Shanghai for Science and Technology, PRC. He also has worked as a president in Shanghai Academy of Systems Science.

His research interests include predictive control, process control and robust control theory and application.

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Cai, YZ., Xu, L., Gao, JX. et al. Study on robust H ∞ filtering in networked environments. Int. J. Autom. Comput. 8, 465–471 (2011). https://doi.org/10.1007/s11633-011-0605-1

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  • DOI: https://doi.org/10.1007/s11633-011-0605-1

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