Skip to main content
Log in

Event-triggered control of a class of cascade switched nonlinear systems

  • Original paper
  • Published:
Nonlinear Dynamics Aims and scope Submit manuscript

Abstract

In this paper, the event-triggered control of a class of cascaded switched nonlinear systems is studied. By applying a designed event-triggered sampling strategy, the minimum inter-event interval is obtained and the Zeno behavior is successfully avoided during the sampling process. Besides, the globally uniform boundedness of the closed-loop system is achieved by virtue of the average dwell-time method and the stability of the switched nonlinear system is guaranteed. A numerical example is provided in the end to support the main results.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6

Similar content being viewed by others

References

  1. Xiang, W., Johnson, T.T.: Event-triggered control for continuous-time switched linear systems[J]. IET Control Theory Appl. 11(11), 1694–1703 (2017)

    Article  MathSciNet  Google Scholar 

  2. Lian, J., Li, C., Xia, B.: Sampled-data control of switched linear systems with application to an F-18 aircraft. IEEE Trans. Ind. Electron. 64(2), 1332–1340 (2016)

    Article  Google Scholar 

  3. Xiang, W., Lam, J., Li, P.: On stability and \(H_{\infty }\) control of switched systems with random switching signals[J]. Automatica 95, 419–425 (2018)

    Article  MathSciNet  Google Scholar 

  4. Wang, J., Zhao, J.: On improving transient performance in tracking control for switched systems with input saturation via composite nonlinear feedback[J]. Int. J. Robust Nonlinear Control 26(3), 509–518 (2016)

    Article  MathSciNet  MATH  Google Scholar 

  5. Xiang, W.: Necessary and sufficient condition for stability of switched uncertain linear systems under dwell-time constraint[J]. IEEE Trans. Autom. Control 61(11), 3619–3624 (2016)

    Article  MathSciNet  MATH  Google Scholar 

  6. Wang, Y.E., Sun, X.M., Mazenc, F.: Stability of switched nonlinear systems with delay and disturbance[J]. Automatica 69, 78–86 (2016)

    Article  MathSciNet  MATH  Google Scholar 

  7. Wu, X., Tang, Y., Cao, J., et al.: Stability analysis for continuous-time switched systems with stochastic switching signals[J]. IEEE Trans. Autom. Control 63(9), 3083–3090 (2017)

    Article  MathSciNet  MATH  Google Scholar 

  8. Wang, Z., Chen, G., Ba, H.: Stability analysis of nonlinear switched systems with sampled-data controllers[J]. Appl. Math. Comput. 357, 297–309 (2019)

    Article  MathSciNet  MATH  Google Scholar 

  9. Fei, Z., Shi, S., Zhao, C., et al.: Asynchronous control for 2-D switched systems with mode-dependent average dwell time[J]. Automatica 79, 198–206 (2017)

    Article  MathSciNet  MATH  Google Scholar 

  10. Su, Q., Jia, X.: Finite-time \(H_{\infty }\) control of cascade nonlinear switched systems under state-dependent switching[J]. Int. J. Control Autom. Syst. 16(1), 120–128 (2018)

    Article  Google Scholar 

  11. Mathiyalagan, K., Park, J.H., Sakthivel, R.: Observer-based dissipative control for networked control systems: A switched system approach[J]. Complexity 21(2), 297–308 (2015)

    Article  MathSciNet  Google Scholar 

  12. Park, J.H., Mathiyalagan, K., Sakthivel, R.: Fault estimation for discrete-time switched nonlinear systems with discrete and distributed delays[J]. Int. J. Robust Nonlinear Control 26(17), 3755–3771 (2016)

    Article  MathSciNet  MATH  Google Scholar 

  13. Zheng, Q., Zhang, H., Ling, Y., et al.: Mixed \(H_{\infty }\) and passive control for a class of nonlinear switched systems with average dwell time via hybrid control approach[J]. J. Frankl. Inst. 355(3), 1156–1175 (2018)

    Article  MathSciNet  Google Scholar 

  14. Niu, B., Wang, D., Alotaibi, N.D., et al.: Adaptive neural state-feedback tracking control of stochastic nonlinear switched systems: an average dwell-time method[J]. IEEE Trans. Neural Netw. Learn. Syst. 30(4), 1076–1087 (2018)

    Article  MathSciNet  Google Scholar 

  15. Linsenmayer, S., Hertneck, M., Allgower, F.: Linear weakly hard real-time control systems: time- and event-triggered stabilization. IEEE Trans. Autom. Control (2020). https://doi.org/10.1109/TAC.2020.3000981

    Article  MATH  Google Scholar 

  16. Wang, Y., Jia, Z., Zhao, R., et al.: Event-triggered control for switched systems with both continuous-time and discrete-time subsystems[J]. Int. J. Syst. Sci. 51(1), 180–190 (2020)

    Article  MathSciNet  Google Scholar 

  17. Wang, Y., Zheng, W.X., Zhang, H.: Dynamic event-based control of nonlinear stochastic systems[J]. IEEE Trans. Autom. Control 62(12), 6544–6551 (2017)

    Article  MathSciNet  MATH  Google Scholar 

  18. Xiao, X., Park, J.H., Zhou, L., et al.: Event-triggered control of discrete-time switched linear systems with network transmission delays[J]. Automatica 111, 108585 (2020)

    Article  MathSciNet  MATH  Google Scholar 

  19. Xiao, X., Zhou, L., Ho, D.W.C., et al.: Event-triggered control of continuous-time switched linear systems[J]. IEEE Trans. Autom. Control 64(4), 1710–1717 (2018)

    Article  MathSciNet  MATH  Google Scholar 

  20. Su, X., Liu, X., Shi, P., et al.: Sliding mode control of hybrid switched systems via an event-triggered mechanism[J]. Automatica 90, 294–303 (2018)

    Article  MathSciNet  MATH  Google Scholar 

  21. Li, H., Chen, Z., Wu, L., et al.: Event-triggered control for nonlinear systems under unreliable communication links[J]. IEEE Trans. Fuzzy Syst. 25(4), 813–824 (2016)

    Article  Google Scholar 

  22. Qi, Y., Cao, M.: Finite-time boundedness and stabilisation of switched linear systems using event-triggered controllers[J]. IET Control Theory Appl. 11(18), 3240–3248 (2017)

    Article  MathSciNet  Google Scholar 

  23. Lamperski, A., Ames, A.D.: Lyapunov theory for Zeno stability. IEEE Trans. Autom. Control 58(100), 112 (2013)

    MathSciNet  MATH  Google Scholar 

  24. Ni, W., Zhao, P., Wang, X., et al.: Event-triggered control of linear systems with saturated inputs[J]. Asian J. Control 17(4), 1196–1208 (2015)

    Article  MathSciNet  MATH  Google Scholar 

  25. Fei, Z., Guan, C., Zhao, X.: Event-triggered dynamic output feedback control for switched systems with frequent asynchronism. IEEE Trans. Autom. Control 65(7), 3120–3127 (2020)

    Article  MathSciNet  MATH  Google Scholar 

  26. Li, C., Lian, J.: Event-triggered feedback stabilization of switched linear systems using dynamic quantized input[J]. Nonlinear Anal. Hybrid Syst. 31, 292–301 (2019)

    Article  MathSciNet  MATH  Google Scholar 

  27. Li, H., Zhang, X., Feng, G.: Event-triggered output feedback control of switched nonlinear systems with input saturation. IEEE Trans. Cybern. (2020). https://doi.org/10.1109/TCYB.2020.2965142

    Article  Google Scholar 

  28. Huo, X., Ma, L., Zhao, X., et al.: Event-triggered adaptive fuzzy output feedback control of MIMO switched nonlinear systems with average dwell time. Appl. Math. Comput. 365, 124665 (2020)

    MathSciNet  MATH  Google Scholar 

  29. Mathiyalagan, K., Park, J.H., Sakthivel, R.: Finite-time boundedness and dissipativity analysis of networked cascade control systems[J]. Nonlinear Dyn. 84(4), 2149–2160 (2016)

    Article  MathSciNet  MATH  Google Scholar 

  30. Jiao, T., Zheng, W.X., Xu, S.: Unified stability criteria of random nonlinear time-varying impulsive switched systems[J]. IEEE Trans. Circuits Syst. I Regul. Pap. 67(9), 3099–3112 (2020)

    Article  MathSciNet  Google Scholar 

Download references

Acknowledgements

This work was supported by the National Natural Science Foundation of China under Grants 61503254, 61673099.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Xiaoxiao Dong.

Ethics declarations

Conflict of interest

The authors declare that they have no conflict of interest.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Dong, X., Zhang, X. & Sun, T. Event-triggered control of a class of cascade switched nonlinear systems. Nonlinear Dyn 105, 1533–1541 (2021). https://doi.org/10.1007/s11071-021-06546-5

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11071-021-06546-5

Keywords

Navigation