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Robust Integral Sliding Mode Control of Uncertain Networked Control Systems with Multiple Data Packet Losses

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  • Control Theory and Applications
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Abstract

In this paper, a robust integral sliding mode control problem for networked control systems with multiple data packet losses is investigated. The data packet losses occur in both sensor-to-controller and controller-to-actuator channels in a random way and they are modelled by independent Bernoulli binary distributed white sequences. The considered class of system is also subject to matched uncertainties and external disturbances presence. A specific sliding mode surface which take into consideration the stochastic nature of the system is proposed to generate a stable sliding mode dynamics for closed loop system. An integral sliding mode controller is designed to ensure the reachability of the specified sliding mode domain. Finally, simulation results, carried out on a linearized model of cart pendulum system, illustrate the effectiveness of the proposed approach.

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References

  1. X. Zhang, Q. L. Han, and X. Yu, “Survey on recent advances in networked control systems,” IEEE Transactions on Industrial Informatics, vol. 12, no. 5, pp. 1740–1752, 2016.

    Article  Google Scholar 

  2. Z. Mao, B. Jiang, and S. Ding, “A fault-tolerant control framework for a class of non-linear networked control systems,” International Journal of Systems Science, vol. 40, pp. 449–460, 2009.

    Article  MathSciNet  MATH  Google Scholar 

  3. X. Jiang, X. Zhang, Z. Guan, L. Yu, and H. Yan, “Performance limitations of networked control systems with quantization and packet dropouts,” ISA Transactions, vol. 67, pp. 98–106, 2017.

    Article  Google Scholar 

  4. Z. Wang, F. Yang, D. W. C. Ho, and X. Liu, “Robust H ∞ control for networked systems with random packet losses,” IEEE Transactions on Systems, Man, and Cybernetics, Part B, vol. 37, pp. 916–924, 2007.

    Article  Google Scholar 

  5. X. He, Z. Wang, and D. Zhou, “Networked fault detection with random communication delays and packet losses,” International Journal of Systems Science, vol. 39, pp. 1045–1054, 2008.

    Article  MathSciNet  MATH  Google Scholar 

  6. Y. Zhao, J. Lam, and H. Gao, “Fault Detection for fuzzy systems with intermittent measurements,” IEEE Transactions on Fuzzy Systems, vol. 17, pp. 398–410, 2009.

    Article  Google Scholar 

  7. V. Vojtech and N. Thuan, “Robust output networked control system design,” ICIC Express Letters, vol. 4, pp. 1399–1407, 2009.

    Google Scholar 

  8. Y. Shu, L. Yu, and W. Zhang, “Estimator-based control of networked systems with packet-dropouts,” International Journal of Innovative Computing Information and Control, vol. 6, pp. 2737–2748, 2010.

    Google Scholar 

  9. W. Zhang and L. Yu, “Output feedback guaranteed cost control of networked linear systems with random packet losses,” International Journal of Systems Science, vol. 41, pp. 1313–1323, 2010.

    Article  MathSciNet  MATH  Google Scholar 

  10. J. Xiong and J. Lam, “Stabilization of linear systems over networks with bounded packet loss. Automatica, vol. 43, pp.80–87, 2007.

    Article  MathSciNet  MATH  Google Scholar 

  11. Y. Niu and D. W. C. Ho, “Design of sliding mode control subject to packet losses,” IEEE Transactions on Automatic Control, vol. 55, no. 11, pp. 2623–2628, 2010.

    Article  MathSciNet  MATH  Google Scholar 

  12. X. Liang, J. Xu, and H. Zhang, “Optimal control and stabilization for networked control systems with packet dropout and input delay,” IEEE Transactions on Circuits and Systems II: Express Briefs, vol. 64, no. 9, pp. 1087–1091, 2017.

    Article  Google Scholar 

  13. C. Tan and H. Zhang, “Necessary and sufficient stabilizing conditions for networked control systems with simultaneous transmission delay and packet dropout,” IEEE Transactions on Automatic Control, vol. 62, no. 8, pp. 4011–4016, 2017.

    Article  MathSciNet  MATH  Google Scholar 

  14. Z. Pang, G. Liu, D. Zhou, and D. Sun, “Robust design and performance analysis of networked predictive control systems based on input-output difference equation model,” International Journal of Control Automation and Systems, vol. 15, pp.1–11, 2017.

    Article  Google Scholar 

  15. F. Yang, Z. Wang, Y. Hung, and M. Gani, “H ∞ control for networked systems with random communication delays,” IEEE Transactions on Automatic Control, vol. 51, pp. 511–518, 2006.

    Article  MathSciNet  MATH  Google Scholar 

  16. H. Gao and T. Chen, “H ∞ estimation for uncertain systems with limited communication capacity,” IEEE Transactions on Automatic Control, vol. 52, pp. 2070–2084, 2007.

    Article  MathSciNet  MATH  Google Scholar 

  17. F. Yang, Z. Wang, D. W. C. Ho, and M. Gan, “Robust H ∞ control with missing measurements and time-delays,” IEEE Transactions on Automatic Control, vol. 52, pp. 1666–1672, 2007.

    Article  MathSciNet  MATH  Google Scholar 

  18. F. Yang and Q. L. Han, “H ∞ control for networked systems with multiple packet dropouts,” Information Sciences, vol. 252, pp. 106–117, 2013.

    Article  MathSciNet  MATH  Google Scholar 

  19. M. Sahebsara, T. Chen, and S. L. Shah, “Optimal H2 filtering in networked control systems with multiple packet dropout,” IEEE Transactions on Automatic Control, vol. 52, pp. 1508–1513, 2007.

    Article  MathSciNet  MATH  Google Scholar 

  20. M. Sahebsara, T. Chen, and S. L. Shah, “Optimal H2 filtering with random sensor, delay, multiple packet dropout and uncertain observations,” International Journal of Control, vol. 80, pp. 292–301, 2007.

    Article  MathSciNet  MATH  Google Scholar 

  21. R. Yang, P. Shi, and G. Liu, “Filtering for discrete-time networked nonlinear systems with mixed random delays and packet dropouts,” IEEE Transactions on Automatic Control, vol. 56, pp. 2655–2660, 2011.

    Article  MathSciNet  MATH  Google Scholar 

  22. D. Chorfi, C. Mnasri, and M. Gasmi, “Mean square stability based on H ∞ control for uncertain networked control system with random data loss,” International Review of Automatic Control, vol. 8, no. 6, pp. 407–417, 2015.

    Article  Google Scholar 

  23. F. Rasool and S. Nguang, “Robust H ∞ state feedback control of NCSs with Poisson noise and successive packet dropouts,” International Journal of Control Automation and Systems, vol. 13, no. 1, pp.1–13, 2015.

    Article  Google Scholar 

  24. Y. Zhu and F. Yang, “Network-based simultaneous H ∞ stabilization for chemical reaction systems with multiple packet dropouts,” International Journal of Control Automation and Systems, vol. 13, no. 2. pp.1–8, 2015.

    Google Scholar 

  25. V. I. Utkin, Sliding Modes in Control Optimization, Springer-Verlag, Berlin, 1992.

    Book  MATH  Google Scholar 

  26. C. Edwards and S. K. Spurgeon, Sliding Mode Control: Theory and Applications, Taylor & Francis Ltd, London, 1998.

    Book  MATH  Google Scholar 

  27. H. Choi, “An LMI-based switching surface design method for a class of mismatched uncertain systems,” IEEE Transactions on Automatic Control, vol. 48, pp. 1634–1637, 2003.

    Article  MathSciNet  MATH  Google Scholar 

  28. C. Mnasri and M. Gasmi, “LMI-based adaptive fuzzy integral sliding mode control of mismatched uncertain systems,” Int. J. Appl. Math. Comput. Sci, vol. 21, no. 4, pp. 605–615, 2011.

    Article  MathSciNet  MATH  Google Scholar 

  29. W. Gao, Y. Wang, and A. Homaifa, “Discrete-time variable structure control systems,” IEEE Transactions on Industrial Electronics, vol. 42, no. 2, pp. 117–122, 1995.

    Article  Google Scholar 

  30. C. Bonivento, M. Sandri, and R. Zanasi, “Discrete variable structure integral controllers,” Automatica vol. 34, pp. 355–361, 1998.

    Article  MathSciNet  MATH  Google Scholar 

  31. C. Cheng, M. Lin, and J. Hsiao, “Sliding mode controllers design for linear discrete-time systems with matching perturbations,” Automatica, vol. 36, pp. 1205–1211, 2000.

    Article  MathSciNet  MATH  Google Scholar 

  32. C. Hwang, “Robust discrete variable structure control with finite-time approach to switching surface,” Automatica, vol. 38, pp. 167–175, 2002.

    Article  MathSciNet  MATH  Google Scholar 

  33. K. Abidi, J. Xu, and X. Yu, “On the discrete-time integral sliding-mode control,” IEEE Transactions on Automatic Control, vol. 52, no. 4, pp. 709–715, 2007.

    Article  MathSciNet  MATH  Google Scholar 

  34. Z. Bucevac and R. Jovanovic, “Discrete-time chattering free exponentially stabilizing sliding mode scalar control via Lyapunov method,” International Journal of Control Automation and Systems, vol.14, no. 3, pp. 698–705, 2016.

    Article  Google Scholar 

  35. A. Bartoszewicz and P. Latosinski,“Discrete time sliding mode control with reduced switching-a new reaching law approach,” Int. J. Robust Nonlinear Control, vol. 26, no. 1, pp. 47–68, 2016.

    Article  MathSciNet  MATH  Google Scholar 

  36. S. Chakrabarty and B. Bandyopadhyay, “A generalized reaching law for discrete time sliding mode control,” Automatica, vol. 52, pp. 83–86, 2015.

    Article  MathSciNet  MATH  Google Scholar 

  37. H. Ma, J. Wu, and Z. Xiong, “A Novel exponential reaching law of discrete-time sliding-mode control,” IEEE Transactions on Industrial Electronics, vol. 64, no. 5, pp. 3840–3850, 2017.

    Article  Google Scholar 

  38. L. Ma, Z. Wang, Y. Bo, and Z. Guo, “Robust H ∞ sliding mode control for nonlinear stochastic systems with multiple data packet losses,” Int. J. Robust. Nonlinear Control, vol. 22, pp. 473–491, 2012.

    Article  MathSciNet  MATH  Google Scholar 

  39. T. Jia, Y. Niu, and Y. Zou, “Sliding mode control for stochastic systems subject to packet losses,” Information Sciences, vol. 217, pp. 117–126, 2012.

    Article  MathSciNet  MATH  Google Scholar 

  40. H. Li, H. Yang, F. Sun, and Y. Xia, “Sliding-mode predictive control of networked control systems under a multiplepacket transmission policy,” IEEE Transactions on Industrial Electronics, vol. 61, no. 11, 6234–6243, 2014.

    Article  Google Scholar 

  41. X. Liu, X. Yu, G. Ma, and H. Xi, “On sliding mode control for networked control systems with semi-Markovian switching and random sensor delays,” Information Sciences, vol. 337–338, 44–58, 2016.

    Article  MATH  Google Scholar 

  42. H. Zhang, J. Wang, and Y. Shi, “Robust H ∞ sliding-mode control for Markovian jump systems subject to intermittent observations and partially known transition probabilities,” Systems & Control Letters, vol. 62, no. 12, pp. 1114–1124, 2013.

    Article  MathSciNet  MATH  Google Scholar 

  43. M. Landry, S. A. Campbell, L. Morris, and C. O. Aguilar, “Dynamics of an inverted pendulum with delayed feedback control,” SIAM J. Applied Dynamical Systems, vol. 4, no. 2, pp. 333–351, 2005.

    Article  MathSciNet  MATH  Google Scholar 

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Author information

Authors and Affiliations

  1. Research Laboratory on Informatics for Industrial Systems (LISI), National Institute of Applied Science and Technology (INSAT), University of Carthage, zone urbaine nord, Tunis-cedex, BP-676, Tunis, 1080, Tunisia

    Chaouki Mnasri, Dhouha Chorfi & Moncef Gasmi

Authors
  1. Chaouki Mnasri
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  2. Dhouha Chorfi
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  3. Moncef Gasmi
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Correspondence to Chaouki Mnasri.

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Recommended by Editor Jessie (Ju H.) Park.

Chaouki Mnasri received the Engineering Diploma in Electrical Engineering in 2000, the Master Degree in Automatic Control and Signal Processing in 2004, and the PhD degree in Electrical Engineering in 2009, respectively, from the Tunis National School of Engineering (ENIT). Now, he is an associate professor at the High Institute of Apllied Sciences and Technology of Mateur, Carthage University. His domain of interests is related to the field of sliding mode control of MIMO systems, robust and adaptive control of uncertain systems, iterative learning control and networked control systems.

Dhouha Chorfi received the Engineering Diploma in Industrial Computing and Automatic in 2004 and the Master Degree Diploma in Industrial Computing and Automatic in 2006, respectively, from the National Institute of Applied Sciences and Technology (INSAT)-Tunisia. Her domain of interests is related to the NCS and the robust control of Uncertain Systems.

Moncef Gasmi received the Principal Engineering Diploma in Electrical Engineering in 1984, the Master of Systems Analysis and Computational Treatment in 1985, the Doctorate in Automatic Control in 1989 and the State Doctorate in Electrical Engineering in 2001, respectively, from the Tunis National School of Engineering (ENIT). Now, he is a Professor and Director of the Research Laboratory of Informatics for Industrial Systems (LISI) at the National Institute of Applied Sciences and Technology (INSAT). His domain of interests is related to the modelling, analysis and control of complex systems.

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Mnasri, C., Chorfi, D. & Gasmi, M. Robust Integral Sliding Mode Control of Uncertain Networked Control Systems with Multiple Data Packet Losses. Int. J. Control Autom. Syst. 16, 2093–2102 (2018). https://doi.org/10.1007/s12555-017-0636-7

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  • DOI: https://doi.org/10.1007/s12555-017-0636-7

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