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Networked Control System: A Markovian Jump System Approach

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Stability Analysis of Markovian Jump Systems

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Abstract

This chapter proposes a packet-based control approach to networked control systems.

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References

  1. Billingsley, P.: Probability and Measure, 3rd edn, Wiley (1995)

    Google Scholar 

  2. Gao, H., Chen, T.: New results on stability of discrete-time systems with time-varying state delay. IEEE Trans. Autom. Control. 52(2), 328–334 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  3. Gao, H., Meng, X., Chen, T.: Stabilization of networked control systems with a new delay characterization. IEEE Trans. Autom. Control. 53(9), 2142–2148 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  4. Georgiev, D., Tilbury, D.M.: Packet-based control: The \(H_2\)-optimal solution. Automatica 42(1), 137–144 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  5. Ghaoui, L.E., Oustry, F., AitRami, M.: A cone complementarity linearization algorithm for static output-feedback and related problems. IEEE Trans. Autom. Control. 42(8), 1171–1176 (1997)

    Article  MathSciNet  MATH  Google Scholar 

  6. Goodwin, G.C., Quevedo, D.E., Silva, E.I.: Architectures and coder design for networked control systems. Automatica 44(1), 248–257 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  7. Hespanha, J.P., Naghshtabrizi, P., Xu, Y.: A survey of recent results in networked control systems. Proc. IEEE 95(1), 138–162 (2007)

    Article  Google Scholar 

  8. Hristu-Varsakelis, D., Zhang, L.: LQG control of networked control systems with access constraints and delays. Int. J. Control 81(8), 1266–1280 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  9. Liu, M., Ho, D.W., Niu, Y.: Stabilization of Markovian jump linear system over networks with random communication delay. Automatica 45(2), 416–421 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  10. Mendez, P.M., Benitez, H.P.: Supervisory fuzzy control for networked control systems. ICIC Express Lett. 3(2), 233–238 (2009)

    Google Scholar 

  11. Meng, X., Lam, J., Gao, H.: Network-based \({H}_\infty \) control for stochastic systems. Int. J. Robust Nonlinear Control. 19(3), 295–312 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  12. Mhaskar, P., El-Farra, N.H., Christofides, P.D.: Predictive control of switched nonlinear systems with scheduled mode transitions. IEEE Trans. Autom. Control. 50(11), 1670–1680 (2005)

    Article  MathSciNet  MATH  Google Scholar 

  13. Ren, J., Li, C.W., Zhao, D.Z.: Linearizing control of induction motor based on networked control systems. Int. J. Autom. Comput. 6(2), 192–197 (2009)

    Article  Google Scholar 

  14. Ren, T., Wang, C., Luo, X., Jing, Y., Dimirovski, G.M.: Robust controller design for ATM network with time-varying multiple time-delays. Int. J. Innov. Comput. Inf. Control. 5(8), 2341–2349 (2009)

    Google Scholar 

  15. Stallings, W.: Data and Computer Communications, 6th edn, Pearson/Prentice Hall (2007)

    Google Scholar 

  16. Tipsuwan, Y., Chow, M.Y.: Gain scheduler middleware: A methodology to enable existing controllers for networked control and teleoperation-part I: Networked control. IEEE Trans. Ind. Electron. 51(6), 1218–1227 (2004)

    Article  Google Scholar 

  17. Wang, B.F., Guo, G.: Kalman filtering with partial Markovian packet losses. Int. J. Autom. Comput. 6(4), 395–400 (2009)

    Article  Google Scholar 

  18. Wang, Y., Sun, Z.: \({H}_\infty \) control of networked control system via LMI approach. Int. J. Innov. Comput. Inf. Control. 3(2), 343–352 (2007)

    Google Scholar 

  19. Wang, Z., Ho, D.W.C., Liu, Y., Liu, X.: Robust \(H_Infinity\) control for a class of nonlinear discrete time-delay stochastic systems with missing measurements. Automatica 45(3), 684–691 (2009)

    Article  MathSciNet  Google Scholar 

  20. Xia, Y., Zhu, Z., Mahmoud, M.S.: \(H_2\) control for networked control systems with Markovian data losses and delays. ICIC Express Lett. 3(3), 271–276 (2009)

    Google Scholar 

  21. Xie, D., Chen, X., Lv, L., Xu, N.: Asymptotical stabilisability of networked control systems: time-delay switched system approach. IET Control Theory Appl. 2(9), 743–751 (2008)

    Article  MathSciNet  Google Scholar 

  22. Yu, M., Wang, L., Chu, T., Xie, G.: Modelling and control of networked systems via jump system approach. IET Control Theory Appl. 2(6), 535–541 (2008)

    Article  MathSciNet  Google Scholar 

  23. Zhang, L., Shi, Y., Chen, T., Huang, B.: A new method for stabilization of networked control systems with random delays. IEEE Trans. Autom. Control. 50(8), 1177–1181 (2005)

    Article  MathSciNet  MATH  Google Scholar 

  24. Zhao, Y., Liu, G., Rees, D.: A predictive control based approach to networked wiener systems. Int. J. Innov. Comput. Inf. Control. 4(11), 2793–2802 (2008)

    Google Scholar 

  25. Zhao, Y., Liu, G., Rees, D.: Design of a packet-based control framework for networked control systems. IEEE Trans. Control. Syst. Technol. 17(4), 859–865 (2009)

    Article  Google Scholar 

  26. Zhao, Y.B., Liu, G.P., Rees, D.: Modeling and stabilization of continuous-time packet-based networked control systems. IEEE Trans. Syst. Man Cybern. Part B: Cybern. 39(6), 1646–1652 (2009)

    Article  Google Scholar 

  27. Zhivoglyadov, P., Middleton, R.: Networked control design for linear systems. Automatica 39(4), 743–750 (2003)

    Article  MathSciNet  MATH  Google Scholar 

  28. Zhu, X., Hua, C., Wang, S.: State feedback controller design of networked control systems with time delay in the plant. Int. J. Innov. Comput. Info. Control. 4(2), 283–290 (2008)

    Google Scholar 

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Author information

Authors and Affiliations

  1. University of Science and Technology of China, Hefei, China

    Yu Kang

  2. Zhejiang University of Technology, Hangzhou, China

    Yun-Bo Zhao

  3. Jinan University, Jinan, China

    Ping Zhao

Authors
  1. Yu Kang
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  2. Yun-Bo Zhao
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  3. Ping Zhao
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Corresponding author

Correspondence to Yu Kang .

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© 2018 Springer Nature Singapore Pte Ltd and Science Press, Beijing

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Kang, Y., Zhao, YB., Zhao, P. (2018). Networked Control System: A Markovian Jump System Approach. In: Stability Analysis of Markovian Jump Systems. Springer, Singapore. https://doi.org/10.1007/978-981-10-3860-0_6

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  • DOI: https://doi.org/10.1007/978-981-10-3860-0_6

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-3859-4

  • Online ISBN: 978-981-10-3860-0

  • eBook Packages: EngineeringEngineering (R0)

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