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Research on networked control system based on T-S model

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Abstract

Aiming at the nonlinear network system, the problem of the system stability for a class of networked control system (NCS) with time-delay, uncertainty and external disturbance is investigated based on T-S fuzzy model. The fuzzy state feedback controller is designed by using parallel distributed compensation (PDC) technique. Furthermore, Lyapunov method is employed to obtain the sufficient conditions for the stability of system combined with the Razumikhin theorem and linear matrix inequality (LMI). The simulation results show that the designed controller can achieve a better control effect to achieve stability for the nonlinear time-delay systems with uncertainties and external disturbances.

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References

  1. Wang, D., Wang, J., Wang, W.: H\(\infty \) controller design of networked control systems with Markov packet dropouts. IEEE Trans. Syst. Man Cybern. 43, 689–697 (2013)

    Article  Google Scholar 

  2. Qiu, J., Gao, H., Ding, S.X.: Recent advances on fuzzy-model-based nonlinear networked control systems: a survey. IEEE Trans. Ind. Electr. 63, 1207–1217 (2016)

    Article  Google Scholar 

  3. Luan, X., Shi, P., Liu, F.: Stabilization of networked control systems with random delays. IEEE Trans. Ind. Electr. 58, 4323–4330 (2011)

    Article  Google Scholar 

  4. Shi, Y., Yu, B.: Robust mixed H2/H\(\infty \) control of networked control systems with random time delays in both forward and backward communication links. Automatica 47, 754–760 (2011)

    Article  Google Scholar 

  5. Ge, X., Yang, F., Han, Q.L.: Distributed networked control systems: a brief overview. Inf. Sci. 380, 117–131 (2017)

    Article  Google Scholar 

  6. Hu, J., Wang, Z., Chen, D., et al.: Estimation, filtering and fusion for networked systems with network-induced phenomena: new progress and prospects. Inf. Fusion 31, 65–75 (2016)

    Article  Google Scholar 

  7. Heemels, W.P.M.H., Teel, A.R., Van de Wouw, N., et al.: Networked control systems with communication constraints: tradeoffs between transmission intervals, delays and performance. IEEE Trans. Autom. Control 55, 1781–1796 (2010)

    Article  MathSciNet  Google Scholar 

  8. Donkers, M.C.F., Heemels, W., Bernardini, D., et al.: Stability analysis of stochastic networked control systems. Automatica 48, 917–925 (2012)

    Article  MathSciNet  Google Scholar 

  9. Xiao, H.Q., He, Y., Wu, M., et al.: Improved H-infinity tracking control for nonlinear networked control systems based on T-S fuzzy model. Control Theory Appl. 29, 71–78 (2012)

    MATH  Google Scholar 

  10. Zhang, H., Li, M., Yang, J., et al.: Fuzzy model-based robust networked control for a class of nonlinear systems. IEEE Trans. Syst. Man. Cybern. Part A 39, 437–447 (2009)

    Article  Google Scholar 

  11. Wang, Z., Yang, F., Ho, D.W.C.: Robust H\(\infty \) control for networked systems with random packet losses. IEEE Trans. Syst. Man Cybern Part B 37, 916–924 (2007)

    Article  Google Scholar 

  12. Shi, Y., Yu, B.: Output feedback stabilization of networked control systems with random delays modeled by Markov chains. IEEE Trans. Autom. Control 54, 1668–1674 (2009)

    Article  MathSciNet  Google Scholar 

  13. Nilsson, J.: Real-time Control Systems with Delays, pp. 29–34. Lund Institute of Technology, Lund (1998)

    Google Scholar 

  14. Sun, S., Ma, J.: Linear estimation for networked control systems with random transmission delays and packet dropouts. Inf. Sci. 269, 349–365 (2014)

    Article  MathSciNet  Google Scholar 

  15. Fan, W.H., Xie, R.H., Chen, Q.W.: Modeling and analysis of networked control system with long time delay. Acta Armamentarii 27, 278–283 (2006)

    Google Scholar 

  16. Fan, W.H., Cai, H., Chen, Q.W., et al.: Stability of networked control systems with time-delay. Control Theory Appl. 21, 880–884 (2004)

    MATH  Google Scholar 

  17. Wang, G.J., Mu, Z.C.: Fuzzy controller design for networked control system based on average delay. Control Decis. 24, 1214–1222 (2004)

    MathSciNet  Google Scholar 

  18. Wang, Y., Hu, W.L., Fan, W.H.: Fuzzy model and control for nonlinear networked control systems with delay. Control Eng. China 13, 233–6 (2006)

    Google Scholar 

  19. Huang, H., Xie, D.X., Zhang, D.F., et al.: T-S fuzzy model-based robust H\(\infty \) fault-tolerant control for networked control systems. Syst. Eng. Electr. 32, 1292–1298 (2010)

    MATH  Google Scholar 

  20. Lu, Z.D., Tian, Q.H., Wang, J.K., et al.: H\(\infty \) robust controller design for networked control system. Appl. Res. Comput. 31, 472–475 (2014)

    Google Scholar 

  21. Tian, Q.H.: Research on Robust Controller Design for Networked Control System, pp. 20–25. Qiqihar University, Qiqihar (2013)

    Google Scholar 

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Acknowledgements

This work is partially supported by Heilongjiang province Department of Education Foundation under Grant No.135109238 and Heilongjiang Province Nature Science Foundation under Grant No.LC2015024.The authors also gratefully acknowledge the helpful comments and suggestions of the reviewers, which have improved the presentation.

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Correspondence to Ran Guangtao.

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Zhongda, L., Fengbin, Z., Yang, J. et al. Research on networked control system based on T-S model. Cluster Comput 22 (Suppl 3), 7459–7470 (2019). https://doi.org/10.1007/s10586-018-1774-2

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  • DOI: https://doi.org/10.1007/s10586-018-1774-2

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