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Observer-Based Event-Triggered Control of Time-Delay Systems Involved Actuator Failures: Switching Method

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Abstract

The problem of the observer-based event-triggered control for a more general class of time-delay systems with actuators failure is investigated. Firstly, due to the system state cannot be measured in practice, a state feedback observer is used to reconstruct the state of the system. Then, based on the switching method, a solution for controller is derived such that the resulting closed-loop system is exponentially stable. Moreover, an event-triggered scheme is presented, which is defined as some error signals exceeding a given threshold. Finally, an example is given to illustrate the effectiveness of the proposed method.

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References

  1. N.N. Feng, B.W. Wu, L.L. Liu, Y.E. Wang, Exponential stability of output-based event-triggered control for switched singular systems. Asian J. Control (2019). https://doi.org/10.1002/asjc.2035

    Article  Google Scholar 

  2. S. Hu, D. Yue, X. Xie, Z. Du, Event-triggered \(H_{\infty }\) stabilization for networked stochastic systems with multiplicative noise and network-induced delays. Inf. Sci. 299, 178–197 (2015)

    Article  MathSciNet  Google Scholar 

  3. B. Li, Z.D. Wang, L.F. Ma, H.J. Liu, Observer-based event-triggered control for nonlinear systems with mixed delays and disturbances: the input-to-state stability. IEEE Trans. Cybern. 2168–2267 (2018)

  4. D. Li, Researches on robust fault-tolerant control for actuator failures in time-varying delay system, in Proceedings International Conference on Intelligent Computing (ICIC) (2009), p. 899–911

  5. T.F. Li, J. Fu, F. Deng, T.Y. Chai, Stabilization of switched linear neutral systems: an event-triggered sampling control scheme. IEEE Trans. Autom. Control 63(10), 3537–3544 (2018)

    Article  MathSciNet  Google Scholar 

  6. G.Q. Ma, X.H. Liu, L.L. Qin, G. Wu, Finite-time event-triggered \(H_{\infty }\) control for switched systems with time-varying delay. Neurocomputing 207, 828–842 (2016)

    Article  Google Scholar 

  7. J.L. Ma, G.M. Zhuang, G.Z. Cui, J.Q. Wang, Observer-based adaptive control for nonlinear input-delay systems with unknown control directions. Int. J. Syst. Sci. 50(7), 1–13 (2019)

    MathSciNet  Google Scholar 

  8. W.H. Qi, G.D. Zong, H.R. Karimi, Observer-based adaptive SMC for nonlinear uncertain singular semi-Markov jump systems with applications to DC motor. IEEE Trans. Circuits Syst. 65(9), 2951–2960 (2018)

    Article  MathSciNet  Google Scholar 

  9. Y.W. Qi, Z. Cao, J. Liu, Observer-based event-triggered \(H_\infty \) control for switched linear systems. in Proceedings of the 11th Asian Control Conference (ASCC) (2017), p. 2490–2495

  10. Y.W. Qi, Y.H. Liu, W. Bao, X.L. Li, Event-triggered and guaranteed cost finite-time \(H_\infty \) control for uncertain switched linear systems. Optim. Control Appl. Methods 39, 1337–1353 (2018)

    Article  MathSciNet  Google Scholar 

  11. Y.W. Qi, P.Y. Zeng, Event-triggered \(H_\infty \) control for switched linear systems with time delay, in Proceedings of the Society of Instrument and Control Engineering, Japan (2016), p. 1135–1140

  12. H.L. Ren, G.D. Zong, Event-triggered finite-time control for networked switched linear systems with asynchronous switching. Int. J. Adapt. Control Signal Process. 31(10), 1437–1455 (2017)

    Article  Google Scholar 

  13. X.M. Sun, G.P. Liu, D. Rees, W. Wang, Controller or actuator failure analysis for systems with time-varying delay. in Proceedings of the 46th IEEE Conference on Decision and Control (2007), p. 3233–3238

  14. F. Wang, Z. Liu, X.H. Li, Y. Zhang, C.L.P. Chen, Observer-based finite time control of nonlinear systems with actuator failures. Inf. Sci. 500, 1–14 (2019)

    Article  MathSciNet  Google Scholar 

  15. J. Wang, H.L. Pei, N.Z. Wang, Adaptive output feedback control using fault compensation and fault estimation for linear system with actuator failures. Int. J. Autom. Comput. 10(5), 463–471 (2013)

    Article  MathSciNet  Google Scholar 

  16. L. Wang, Z. Wang, T. Huang, G. Wei, An event-triggered approach to state estimation for a class of complex networks with mixed time delays and nonlinearities. IEEE Trans. Cybern. 46(11), 2497–2508 (2016)

    Article  Google Scholar 

  17. L.M. Wang, C. Shao, Robust stability analysis of switched uncertain systems with multiple time-varying delays and actuator failures. J. Control Theory Appl. 9(2), 267–272 (2011)

    Article  MathSciNet  Google Scholar 

  18. R. Wang, G. Dimirovski, J. Zhao, Switching-based robust exponential stabilization of linear delay systems with faulty actuators. Eur. J. Control 1, 45–55 (2009)

    Article  MathSciNet  Google Scholar 

  19. R. Wang, M. Liu, J. Zhao, Reliable \(H_\infty \) control for a class of switched nonlinear systems with actuator failures. Nonlinear Anal. Hybrid Syst. 1(3), 317–325 (2007)

    Article  MathSciNet  Google Scholar 

  20. R. Wang, J. Zhao, G. Dimirovski, G.P. Liu, Output feedback control for uncertain linear systems with faulty actuators based on a switching method. Int. J. Robust Nonlinear 19, 1295–1312 (2009)

    Article  MathSciNet  Google Scholar 

  21. X. Wang, D. Ma, Event-triggered control for continuous-time switched systems, in Proceedings of the 27th Chinese Control and Decision Conference (CCDC), Qingdao (2015), p. 1143–1148

  22. Y.C. Wang, R. Wang, X.P. Xie, H.G. Zhang, Observer-based \(H_\infty \) fuzzy control for modified repetitive control systems. Neurocomputing 286(19), 141–149 (2018)

    Google Scholar 

  23. Y.E. Wang, H.R. Karimi, D. Wu, Construction of hybrid interval observers for switched linear systems. Inf. Sci. 454–455, 242–254 (2018)

    Article  MathSciNet  Google Scholar 

  24. X. Xiao, L. Zhou, D.W.C. Ho, G. Lu, Event-triggered control of continuous-time switched linear systems. IEEE Trans. Autom. Control (2013). https://doi.org/10.1109/TAC.2018.2853569

    Article  MATH  Google Scholar 

  25. P. Xu, Y.M. Li, S.C. Tong, Fuzzy adaptive finite time fault-tolerant control for multi-input and multi-output nonlinear systems with actuator faults. Int. J. Control Autom. 17(7), 1655–1665 (2019)

    Article  Google Scholar 

  26. Y.W. Yan, C.Y. Yang, X.P. Ma, L.N. Zhou, Observer-based event-triggered control for singularly perturbed systems with saturating actuator. Int. J. Robust Nonlinear 29, 3954–3970 (2019)

    MathSciNet  MATH  Google Scholar 

  27. J.H. Zhang, D.Y. Zhao, D.K. Wang, Observer-based control for linear system with event-triggered sensor, in Proceedings of the 31th Chinese Control Conference (CCC) (2012), p. 5747–5752

  28. G.D. Zong, H.L. Ren, L.L. Hou, Finite-time stability of interconnected impulsive switched systems. IET Control Theory A 10(6), 648–654 (2016)

    Article  MathSciNet  Google Scholar 

  29. Z.Q. Zuo, Y.Y. Li, Y.J. Wang, H.C. Li, Event-triggered control for switched systems in the presence of actuator saturation. Int. J. Syst. Sci. 49(7), 1478–1490 (2018)

    Article  MathSciNet  Google Scholar 

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Acknowledgements

This work was supported by the National Natural Science Foundation of China under Grant 61403241, the Fundamental Research Funds for the Central Universities: GK201905001 and Funded Projects for the Academic Leaders and Academic Backbones, Shaanxi Normal University: 18QNGG005.

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Authors and Affiliations

  1. School of Mathematics and Information Science, Shaanxi Normal University, Xi’an, 710119, China

    Yi Gan, Baowei Wu, Yue-E. Wang & Lili Liu

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  1. Yi Gan
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  2. Baowei Wu
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  3. Yue-E. Wang
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  4. Lili Liu
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Correspondence to Baowei Wu.

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Gan, Y., Wu, B., Wang, YE. et al. Observer-Based Event-Triggered Control of Time-Delay Systems Involved Actuator Failures: Switching Method. Circuits Syst Signal Process 39, 3405–3423 (2020). https://doi.org/10.1007/s00034-019-01322-8

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