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Discrete-time sliding mode controller subject to real-time fractional delays and packet losses for networked control system

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  • Control Theory and Applications
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Abstract

The communication delay and packet loss are two major concerns in Networked Control System as it deteriorates the performance of the system. In this paper, a novel approach for designing a discrete-time sliding mode controller using Thiran’s delay approximation is presented considering the real time networked medium and packet loss situation. Thiran’s delay approximation technique is used to compensate the controller to actuator fractional delay as well as sensor to controller fractional delay in the sliding surface. Further, the stability condition for the closed loop system with proposed controller is derived using Lyapunov function. The efficacy of the proposed strategy is endowed by simulation results that are conceded in the presence of CAN and Switched Ethernet communication medium.

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References

  1. N. Cac, N. Hung, and N. Khang, “CAN-based networked control systems: a compensation for communication time delays,” American Journal of Embedded Systems and Applications, vol. 2, no. 3, pp. 13–20, June 2014.

    Article  Google Scholar 

  2. H. Yi, H. Kim, and J. Choi, “Design of networked control system with discrete-time state predictor over WSN,” Journal of Advances in Computer Networks, vol. 2, no. 2, pp. 106–109, Nov. 2014.

    Article  Google Scholar 

  3. Y. Hikichi, K. Sasaki, R. Tanaka, H. Shibasaki, K. Kawaguchi, and Y. Ishida, “A discrete PID control system using predictors and an observer for the influence of a time delay,” International Journal of Modeling and Optimization, vol. 3, no. 1, pp. 1–4, May 2013.

    Article  Google Scholar 

  4. B. Cuellar, M. Villa, G. Fernandez, O. Ramirez, and J. Ramirez, “Observer-based prediction scheme for time-lag processes,” Proceedings of American Control Conference, pp. 639–644, June 2007.

    Google Scholar 

  5. M. Vallabhan, S. Srinivasan, S. Ashok, S. Ramaswamy, and R. Ayyagari, “An analytical framework for analysis and design of networked control systems with random delays and packet losses,” Proceedings of IEEE Canadian Conference on Electrical and Computer Engineering, pp. 1–6, May 2012.

    Google Scholar 

  6. M. Ono, N. Ban, K. Sasaki, K. Matsumoto, and Y. Ishida, “Discrete modified Smith predictor for an unstable plant with dead time using a plant predictor,” International Journal of Computer Science and Network Security, vol. 10, no. 9, pp. 80–85, Jun 2010.

    Google Scholar 

  7. J. Hespanha, P. Naghshtabrizi, and Y. Xu, “A survey of recent results in networked control systems,” Proceedings of the IEEE, vol. 95, no. 1, pp. 138–162, June 2007. [click]

    Article  Google Scholar 

  8. M. Khanesar, O. Kaynak, S. Yin, and H. Gao, “Adaptive indirect fuzzy sliding mode controller for networked control systems subject to time varying network induced time delay,” IEEE Transactions on Fuzzy Systems, vol. 23, no. 2, pp. 205–214, Dec. 2015. [click]

    Article  Google Scholar 

  9. G. Jacovitti and G. Scarano, “Discrete time techniques for time delay estimation,” IEEE Transactions on Signal Processing, vol. 41, no. 2, pp. 525–533, March 1993. [click]

    Article  MATH  Google Scholar 

  10. J. Xiong and J. Lam, “Stabilization of networked control systems with a logic ZOH,” IEEE Transactions on Automatic Control, vol. 54, no. 2, pp. 358–363, June 2009. [click]

    Article  MathSciNet  MATH  Google Scholar 

  11. W. Yang, L. Fan, and J. Luo, “Design of discrete time sliding mode observer in networked control system,” Proceedings of Chinese Control and Decision Conference, pp. 1884–1887, Dec. 2010.

    Google Scholar 

  12. 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, pp. 201–221, Dec. 2014.

    Google Scholar 

  13. J. Dong and W. Kim, “Markov-chain-based output feedback control for stabilization of networked control systems with random time delays and packet losses,” International Journal of Control, Automation and Systems, Springer, vol. 10, no. 5, pp. 1013–1022, May 2012. [click]

    Article  Google Scholar 

  14. Y. Wei, J. Qiu, H. Karimi, and M. Wang, “New results on H-infinity dynamic output feedback control for Markovian jump systems with time-varying delay and defective mode information,” Optimal Control Applications and Methods, vol. 35, no. 6, pp. 656–675, Dec. 2014. [click]

    Article  MathSciNet  MATH  Google Scholar 

  15. Y. Wei, M. Wang, and J. Qiu, “New approach to delaydependent H-infinity filtering for discrete-time Markovian jump systems with time-varying delay and incomplete transition descriptions,” IET Control Theory and Applications, vol. 7, no. 5, pp. 684–696, March 2013. [click]

    Article  MathSciNet  Google Scholar 

  16. Y. Wei, J. Qiu, and S. Fu, “Mode-dependent nonrational output feedback control for continuous-time semi-Markovian jump systems with time-varying delay,” Nonlinear Analysis: Hybrid Systems, vol. 16, pp. 52–71, May 2015. [click]

    MathSciNet  MATH  Google Scholar 

  17. D. Shah and A. Mehta, “Fractional delay compensated discrete-time SMC for networked control system,” Digital Communication and Networks, Elsevier, vol. 2, no. 3, pp. 112–117, Dec. 2016.

    Google Scholar 

  18. Y. Wei, J. Qiu, and H. Karimi, “Reliable output feedback control of discrete-time fuzzy affine systems with actuator faults,” IEEE Transactions on Circuits and Systems-I, vol. 64, no. 1, pp. 170–181, Jan. 2017. [click]

    Article  Google Scholar 

  19. Y. We, J. Qiu, H. Lam, and L. Wu, “Approaches to T-S fuzzy-affine-model-based reliable output feedback control for nonlinear Ito stochastic systems,” IEEE Transactions on Fuzzy System, vol. PP, no. 99, pp. 1–7, Dec. 2016.

    Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

  21. D. Shah and A. Mehta, “Design of robust controller for networked control system,” Proceedings of IEEE International Conference on Computer, Communication and Control Technology, pp. 385–390, Sept. 2014.

    Google Scholar 

  22. H. Gao, T. Chen, and J. Lam, “A new delay system approach to network-based control,” Automatica, vol. 44, no. 1, pp. 39–52, June 2008.

    Article  MathSciNet  MATH  Google Scholar 

  23. D. Shah and A. Mehta, “Output feedback discrete-time networked sliding mode control,” IEEE Proceedings of Recent Advances in Sliding Modes, pp. 6016–6021, April 2015.

    Google Scholar 

  24. D. Yue, Q. Han, and J. Lam, “Network-based robust H ∞ control of systems with uncertainity,” Automatica, vol. 41, no. 1, pp. 999–1007, April 2005. [click]

    Article  MATH  Google Scholar 

  25. Y. Tipsuwan and M. Chow, “Gain scheduler middleware: a methodology to enable existing controllers for networked control and teleoperation-part I: networked control,” IEEE transactions on Industrial Electronics, vol. 51, no. 6, pp. 1218–1227, June 2004.

    Article  Google Scholar 

  26. A. Argha, L. Li, W. Steven, and H. Nguyen, “Discrete-time sliding mode control for networked systems with random communication delays,” Proceedings of American Control Conference, pp. 6016–6021, July 2015.

    Google Scholar 

  27. X. Tang and J. Yu, “Stability analysis of discrete-time systems with additive time-varying delays,” International Journal of Automation and Computing, vol. 7, no. 2, pp. 219–223, July 2010.

    Article  Google Scholar 

  28. P. Kokil, H. Kar, and V. KrishnaRaoKandanvli, “Stability analysis of linear discrete-time systems with interval delay: a delay-partitioning approach,” International Scholarly Research Network Applied Mathematics, vol. 2011, no. 1, pp. 1–10, Dec. 2011.

    Google Scholar 

  29. F. Tascikaraoglu, I. Kucukdemiral, and J. Imura, “Robust moving horizon H-inf control of discrete time-delayed systems with interval time-varying delays,” Mathematical Problems in Engineering, vol. 2014, no. 1, pp. 1–13, March 2014.

    Article  Google Scholar 

  30. X. Jiang, Q. Han, and X. Yu, “Stability criteria for linear discrete-time systems with interval-like time-varying delay,” Proceedings of American Control Conference, pp. 2817–2822, June 2005. [click]

    Google Scholar 

  31. G. Walsh, H. Ye, and L. Bushnell, “Stability of networked control systems,” IEEE Transactions on Control Systems Technology, vol. 10, no. 3, pp. 438–446, March 2002. [click]

    Article  Google Scholar 

  32. J. Thiran, “Recursive digital filters with maximally flat group delay,” IEEE Transactions on Circuit Theory, vol. 18, no. 6, pp. 659–664, Dec. 1971. [click]

    Article  MathSciNet  Google Scholar 

  33. A. Bartoszewicz and P. Lesniewski, “Reaching law approach to the sliding mode control of periodic review inventory systems,” IEEE Transactions on Automatic Science and Engineering, vol. 11, no. 3, pp. 810–817, Dec. 2014.

    Article  Google Scholar 

  34. J. Wu and T. Chen, “Design of networked control systems with packet dropouts,” IEEE Transactions on Automatic Control, vol. 52, no. 7, pp. 1314–1319, June 2007.

    Article  MathSciNet  MATH  Google Scholar 

  35. A. Cervin, D. Henricksson, B. Lincoln, J. Eker, and K. Arzen, “Analysis and simulation of timing using Jitterbug and true time,” IEEE on Control Systems Magazines, vol. 23, no. 3, pp. 16–30, June 2003.

    Article  Google Scholar 

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Authors and Affiliations

  1. Gujarat Technological University, Ahmedabad, Gujarat, India

    Dipesh Shah

  2. Institute of Infrastructure Technology Research And Management, Ahemdabad, Gujarat, India

    Axay Mehta

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  1. Dipesh Shah
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  2. Axay Mehta
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Correspondence to Dipesh Shah.

Additional information

Recommended by Associate Editor Do Wan Kim under the direction of Editor Yoshito Ohta.

Dipesh Shah obtained his Bachelor’s degree in Instrumentation and Control (2007) and Master’s in Applied Instrumentation (2010) from Gujarat University, Ahmedabad, India. Currently, he is working towards his Ph.D from Gujarat Technological University, Ahmedabad, Gujarat, India. He is also serving as an Assistant Professor at Sardar Vallabhbhai Patel Institute of Technology, Vasad, Gujarat, India. His research area includes Design of robust controllers, Sliding Mode Control, Networked Control System and Industrial Communication Networks.

Axay Mehta received his Bachelor’s degree in Electrical Eng. (1996) from Gujarat University, Ahmedabad,Master’s (2002) from IIT Kharagpur and his Ph.D. (2009) from IIT Mumbai. Currently, he is working as an Associate Professor and Coordinator of Electrical Engineering at Institute of Infrastructure Technology Research and Management. Priory, he has worked at various faculty positions at various Institutions of the Gujarat state including IIT Gandhinagar and Director, Gujarat Power Engineering and Research Institute, Mehsana. His research interest are Non-linear Sliding Mode Control and its applications in Electrical Engineering, Networked Control and Multi-agent control for Microgrid/Smartgrid. He has received Post-Doctoral research grant from University of Cagliari, Italy 2015. He has published 38 research papers in peer reviewed international journals and conferences of repute. He has contributed as session chair and organising committee member at many national and international conferences. Dr. Mehta is Senior Member of IEEE, Life Member of Institution of Engineer (India), Life Member of Indian Society for Technical Education and Member of Systems Society of India. He is conferred the Best research paper award by Systems Society of India and Pedagogical Innovation award 2014 by Gujarat Technological University.

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Shah, D., Mehta, A. Discrete-time sliding mode controller subject to real-time fractional delays and packet losses for networked control system. Int. J. Control Autom. Syst. 15, 2690–2703 (2017). https://doi.org/10.1007/s12555-016-0761-8

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  • DOI: https://doi.org/10.1007/s12555-016-0761-8

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