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Dual-side Event-triggered Output Feedback H Control for NCS with Communication Delays

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Abstract

This paper studies the dual-side event-triggered output feedback H control for networked control system with network-induced delays. Unlike continuous-time event-triggered mechanism (ETM) or state-dependent ETM, the discrete dual-side ETMs are firstly proposed by using plant output and controller output, respectively, which effectively reduce transmission rate of sampled data in both sensor-to-controller and controller-to-actuator channels. Then, the closed-loop system is modelled as a time-delay system, which characterizes effects of the dual-side ETMs and networked-induced delays in a unified framework. Based on the system model, asymptotic stability criterion satisfying H performance is derived, and conservatism is reduced by the delay decomposition method and reciprocally convex approach. Moreover, a co-design scheme is presented to design the dual-side ETMs and controller simultaneously, which is more convenient than two-step design method requiring controllers to be given a priori. Finally, examples confirm effectiveness of the proposed method.

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References

  1. Y. Wang, J. Lu, Z. Li, and Y. Chu, “Mixed H 2/H control for a class of nonlinear networked control systems,” International Journal of Control, Automation and Systems, vol. 14, no. 3, pp. 655–665, June 2016. [click]

    Article  Google Scholar 

  2. R. Wang, H. Jing, J. Wang, M. Chadli, and N. Chen, “Robust output-feedback based vehicle lateral motion control considering network-induced delay and tire force saturation,” Neurocomputing, vol. 214, pp. 409–419, November 2016. [click]

    Article  Google Scholar 

  3. C. Peng and J. Zhang, “Delay-distribution-dependent load frequency control of power systems with probabilistic interval delays,” IEEE Transactions on Power Systems, vol. 31, no. 4, pp. 3309–3317, July 2016. [click]

    Article  Google Scholar 

  4. P. Shi, Y. Zhang, M. Chadli, and R. K. Agarwal, “Mixed H-infinity and passive filtering for discrete fuzzy neural networks with stochastic jumps and time delays,” IEEE Transactions on Neural Networks and Learning Systems, vol. 27, no. 4, pp. 903–909, April 2016. [click]

    Article  MathSciNet  Google Scholar 

  5. M. Wang, J. Qiu, M. Chadli, and M. Wang, “A switched system approach to exponential stabilization of sampled-data T-S fuzzy systems with packet dropouts,” IEEE Transactions on Cybernetics, vol. 46, no. 12, pp. 3145–3156, December 2016. [click]

    Article  Google Scholar 

  6. X. Zhao, C. Ma, X. Xing, and X. Zheng, “A stochastic sampling consensus protocol of networked Euler-Lagrange systems with application to two-link manipulator,” IEEE Transactions on Industrial Informatics, vol. 11, no. 4, pp. 907–914, August 2015. [click]

    Article  Google Scholar 

  7. K. E. Arzen, “A simple event-based PID controller,” Proceedings of the 14th IFAC World Congress, Beijing, China, pp. 423–428, 1999.

    Google Scholar 

  8. F. Li, J. Fu, and D. Du, “An improved event-triggered communication mechanism and L control co-design for network control systems,” Information Sciences, vol. 370, pp. 743–762, November 2016. [click]

    Article  Google Scholar 

  9. P. Tabuada, “Event-triggered real-time scheduling of sta-bilizing control tasks,” IEEE Transactions on Automatic Control, vol. 52, no. 9, pp. 1680–1685, September 2007. [click]

    Article  MathSciNet  MATH  Google Scholar 

  10. C. Peng, S. Ma, and X. Xie, “Observer-based non-PDC control for networked T-S fuzzy systems with an event-triggered communication,” IEEE Transactions on Cyber-netics, vol. PP, no. 99, pp. 1–9, May 2017.

    Google Scholar 

  11. C. Peng, J. Li, and M. R. Fei, “Resilient event-triggered H load frequency control for networked power systems with energy-limited DoS attacks,” IEEE Transactions on Power Systems, vol. PP, no. 99, pp. 1–9, December 2016.

    Google Scholar 

  12. K. Astrom and B. Bernhardsson, “Comparison of Riemann and Lebesgue sampling for first order stochastic systems,” in Proceedings of the IEEE Conference on Decision and Control, Las Vegas, United States, pp. 2011–2016, 2002.

    Google Scholar 

  13. M. Mazo and M. Cao, “Asynchronous decentralized event-triggered control,” Automatica, vol. 50, no. 12, pp. 3197–3203, December 2014. [click]

    Article  MathSciNet  MATH  Google Scholar 

  14. M. Sigurani, C. Stocker, L. Grune, and J. Lunze, “Ex-perimental evaluation of two complementary decentralized event-based control methods,” Control Engineering Prac-tice, vol. 35, pp. 22–34, February 2015. [click]

    Article  Google Scholar 

  15. J. Lunze and D. Lehmann, “A state-feedback approach to event-based control,” Automatica, vol. 46, no. 1, pp. 211–215, January 2010. [click]

    Article  MathSciNet  MATH  Google Scholar 

  16. X. Meng and T. Chen, “Optimal sampling and performance comparison of periodic and event based impulse control,” IEEE Transactions on Automatic Control, vol. 57, no. 12, pp. 3252–3259, December 2012. [click]

    Article  MathSciNet  MATH  Google Scholar 

  17. D. Antunes and W. P. M. H. Heemels, “Rollout event-triggered control: beyond periodic control performance,” IEEE Transactions on Automatic Control, vol. 59, no. 12, pp. 3296–3311, December 2014. [click]

    Article  MathSciNet  MATH  Google Scholar 

  18. W. P. M. H. Heemels, M. C. F. Donkers, and A. R. Teel, “Periodic event-triggered control for linear systems,” IEEE Transactions on Automatic Control, vol. 58, no. 4, pp. 847–861, April 2013. [click]

    Article  MathSciNet  MATH  Google Scholar 

  19. D. Yue, E. Tian, and Q. L. Han, “A delay system method for designing event-triggered controllers of networked con-trol systems,” IEEE Transactions on Automatic Control, vol. 58, no. 2, pp. 475–481, February 2013. [click]

    Article  MathSciNet  MATH  Google Scholar 

  20. R. Postoyan, P. Tabuada, D. Nei, and A. Anta, “A framework for the event-triggered stabilization of nonlinear systems,” IEEE Transactions on Automatic Control, vol. 60, no. 4, pp. 982–996, April 2015. [click]

    Article  MathSciNet  MATH  Google Scholar 

  21. L. Lucinda Li and M. Lemmon, “Weakly coupled event triggered output feedback system in wireless networked control systems,” Discrete Event Dynamic Systems: Theory and Applications, vol. 24, no. 2, pp. 247–260, June 2014.

    Article  MathSciNet  MATH  Google Scholar 

  22. X. Zhang and Q. L. Han, “Event-based H filtering for sampled-data systems,” Automatica, vol. 51, pp. 55–69, January 2015. [click]

    Article  MathSciNet  MATH  Google Scholar 

  23. Y. S. Moon, P. Park, W. H. Kwon, and Y. S. Lee, “Delaydependent robust stabilization of uncertain state-delayed systems,” International Journal of Control, vol. 74, no. 14, pp. 1447–1455, September 2001. [click]

    Article  MathSciNet  MATH  Google Scholar 

  24. Z. Yan, G. Zhang, and J. Wang, “Non-fragile robust finitetime H control for nonlinear stochastic Itô systems using neural network,” International Journal of Control, Automation and Systems, vol. 10, no. 5, pp. 873–882, October 2012.

    Article  Google Scholar 

  25. P. Park, J. W. Ko, and C. Jeong, “Reciprocally convex approach to stability of systems with time-varying delays,” Automatica, vol. 47, no. 1, pp. 235–238, January 2011.

    Article  MathSciNet  MATH  Google Scholar 

  26. X. Zhao, X. Zheng, C. Ma, and R. Li, “Distributed consensus of multiple Euler-Lagrange systems networked by sampled-data information with transmission delays and data packet dropouts,” IEEE Transactions on Automation Science and Engineering, vol. PP, no. 99, July 2015.

    Google Scholar 

  27. Z. Yan, G. Zhang, and W. Zhang, “Finite-time stability and stabilization of linear Itô stochastic systems with state and control-dependent noise,” Asian Journal of Control, vol. 15, no. 1, pp. 270–281, January 2013. [click]

    Article  MathSciNet  MATH  Google Scholar 

  28. J. H. Kim, “Note on stability of linear systems with timevarying delay,” Automatica, vol. 47, no. 9, pp. 2118–2121, September 2011. [click]

    Article  MathSciNet  MATH  Google Scholar 

  29. X. Zhang and Q. L. Han, “Event-triggered dynamic output feedback control for networked control systems,” IET Control Theory and Applications, vol. 8, no. 4, pp. 226–234, February 2014. [click]

    Article  MathSciNet  Google Scholar 

  30. S. Hu and D. Yue, “Event-triggered control design of linear networked systems with quantizations,” ISA Transactions, vol. 51, no. 1, pp. 153–162, January 2012.

    Article  Google Scholar 

  31. M. C. F. Donkers and W. P. M. H. Heemels, “Output-based event-triggered control with guaranteed L gain and improved and decentralized event-triggering,” IEEE Transactions on Automatic Control, vol. 57, no. 6, pp. 1362–1376, June 2012. [click]

    Article  MathSciNet  MATH  Google Scholar 

  32. H. Yu and P. J. Antsaklis, “Event-triggered output feedback control for networked control systems using passivity: achieving L2 stability in the presence of communication delays and signal quantization,” Automatica, vol. 49, no. 1, pp. 30–38, January 2013.

    Article  MathSciNet  MATH  Google Scholar 

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Correspondence to Fuqiang Li.

Additional information

Recommended by Associate Editor M. Chadli under the direction of Editor PooGyeon Park. This work was supported by National Natural Science Foundation of China under grant 61703146, 61673255, Key Scientific and Research Project of the Education Department of Henan Province under grants 16B413002 and 15A510028, Scientific and Technological Project of Henan Province under grant 172102210043 and 162102110108, Scientific and Technological Innovation Project of Henan Agricultural University under grants KJCX2016A09, KJCX2015A17 and KJCX2015A19.

Fuqiang Li received the Ph.D. degree in Control Theory and Control Engineering from Shanghai University in 2016. He is a postdoctoral researcher in Shanghai University. He is also an associate professor in Henan Agricultural University. His research interests include networked control system and event-triggered control system.

Lisai Gao received the M.S. degree in Control Theory and Control Engineering from Zhengzhou University in 2011. She is a senior engineer. She is currently a Ph.D. candidate in Control Theory and Control Engineering at Shanghai University. Her research interests include networked control systems.

Gensheng Dou received the M.S. degree in Electronics and Communications Engineering from PLA Information Engineering University in 2010. He is a lecturer in Henan Agricultural University. His research interests include hybrid system and networked control system.

Baozhou Zheng received the M.S. degree in Control Theory and Control Engineering from Zhengzhou University in 2006. He is a lecturer in Henan Agricultural University. His research interests include complex system control and eventtriggered control system.

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Li, F., Gao, L., Dou, G. et al. Dual-side Event-triggered Output Feedback H Control for NCS with Communication Delays. Int. J. Control Autom. Syst. 16, 108–119 (2018). https://doi.org/10.1007/s12555-016-0407-x

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  • DOI: https://doi.org/10.1007/s12555-016-0407-x

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