Skip to main content
SpringerLink
Log in

Observer-Based Event-Triggered H∞ Control for Singular Systems with Unknown Disturbances

  • Published:
Circuits, Systems, and Signal Processing Aims and scope Submit manuscript

Abstract

The purpose of this paper is to study the event-triggered H∞ control problem of network singular systems with unknown disturbances. First, we use an adaptive event-triggered scheme suitable for singular systems, which can adaptively adjust the trigger parameters of dynamic errors in order to economize confined network resources and downgrade conservatism. In this paper, the singular system is taken as the controlled object, and two observers are designed to assess the state and disturbance of the system, respectively. Therefore, a novel adaptive event-triggered H∞ control for singular systems with extended state observer is proposed. Second, by constructing a new Lyapunov functional, and using linear matrix inequalities and the theory of Lyapunov stability, the conditions for the system's asymptotic stability are obtained. Finally, to demonstrate the validity of the derived results, some simulations and comparisons are provided.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7

Similar content being viewed by others

Data Availability Statement

The data sets generated and analyzed during the current study are available from the corresponding author on reasonable request.

References

  1. X. Chang, G. Yang, New results on output feedback H∞ control for linear discrete-time systems. IEEE Trans. Autom. Control 59(5), 1355–1359 (2014)

    Article  MathSciNet  Google Scholar 

  2. L. Cui, Y. Zhang, X. Wang, X. Xie, Event-triggered distributed self-learning robust tracking control for uncertain nonlinear interconnected systems. Appl. Math. Comput. (2021). https://doi.org/10.1016/j.amc.2020.125871

    Article  MathSciNet  MATH  Google Scholar 

  3. G. Dong, L. Cao, D. Yao, H. Li, R. Lu, Adaptive attitude control for Multi-MUAV systems with output dead-zone and actuator fault. IEEE/CAA J. Automa. Sinica. (2020). https://doi.org/10.1109/JAS.2020.1003605

    Article  Google Scholar 

  4. G. Dong, H. Li, H. Ma, R. Lu, Renquan Lu, Finite-time consensus tracking neural network FTC of multi-agent systems. IEEE Trans. Neural Netw. Learn. Syst. 32, 653–662 (2021)

    Article  MathSciNet  Google Scholar 

  5. Z. Du, S. Hu, J. Li, Event-triggered H-infinity stabilization for singular systems with state delay. Asian J. Control. (2020). https://doi.org/10.1002/asjc.2264

    Article  Google Scholar 

  6. X. Fan, Z. Wang, Event-triggered sliding mode control for singular systems with disturbance. Nonlinear Anal.: Hybrid Syst. (2021). https://doi.org/10.1016/j.nahs.2021.101011

    Article  MathSciNet  Google Scholar 

  7. T. Feng, B. Wu, L. Liu, Y.E. Wang, Finite-time stability and stabilization of fractional-order switched singular continuous-time systems. Circuits Syst. Signal Process. 38(12), 5528–5548 (2019)

    Article  Google Scholar 

  8. A. González, A. Cuenca, V. Balaguer, P. García, Event-triggered predictor-based control with gain-scheduling and extended state observer for networked control systems. Inf. Sci. 491, 90–108 (2019)

    Article  MathSciNet  Google Scholar 

  9. Z. Gu, E. Tian, J. Liu, Adaptive event-triggered control of a class of nonlinear networked systems. J. Franklin Inst. 354(9), 3854–3871 (2017)

    Article  MathSciNet  Google Scholar 

  10. A.R. Hakimi, T. Binazadeh, Limit cycle synchronization of nonlinear systems with matched and unmatched uncertainties based on finite-time disturbance observer. Circuits Syst. Signal Process. 38, 5488–5507 (2019)

    Article  Google Scholar 

  11. J. Han, X. Liu, X. Wei, H. Zhang, X. Hu, Adjustable dimension descriptor observer based fault estimation of nonlinear system with unknown input. Appl. Math. Comput. (2021). https://doi.org/10.1016/j.amc.2020.125899

    Article  MathSciNet  Google Scholar 

  12. S. Hu, D. Yue, Event-based H∞ filtering for networked system with communication delay. Signal Process. 92, 2029–2039 (2012)

    Article  Google Scholar 

  13. X. Jiang, Q. Han, X. Yu, Stability criteria for linear discrete-time systems with interval-like time-varying delay. Am. Control Conf. 9, 2817–2822 (2005)

    Google Scholar 

  14. W. Li, H. Du, Z. Feng, D. Ning, W. Li, Dynamic output-feedback event-triggered H∞ control for singular active seat suspension systems with a human body model. IET Control Theory Appl. (2020). https://doi.org/10.1049/cth2.12064

    Article  Google Scholar 

  15. W. Li, H. Du, Z. Feng, D. Ning, J. Wei, Singular system based approach for active vibration control of vehicle seat suspension. J. Dyn. Syst. Measurement Control (2020). https://doi.org/10.1115/1.4047011

    Article  Google Scholar 

  16. S. Li, Z. Li, J. Li, T. Fernando, H. Iu, Q. Wang, X. Liu, Application of event-triggered cubature kalman filter for remote nonlinear state estimation in wireless sensor network. IEEE Trans. Industr. Electron. 68(6), 5133–5145 (2021)

    Article  Google Scholar 

  17. F. Li, Y. Liu, Adaptive event-triggered output-feedback controller for uncertain nonlinear systems. Automatica (2020). https://doi.org/10.1016/j.automatica.2020.109006

    Article  MATH  Google Scholar 

  18. H. Li, Y. Wu, M. Chen, Adaptive fault-tolerant tracking control for discrete-time multi-agent systems via reinforcement learning algorithm. IEEE Trans. Cybern. 51, 1163–1174 (2021)

    Article  Google Scholar 

  19. G. Lin, H. Li, H. Ma, D. Yao, R. Lu, Human-in-the-Loop consensus control for nonlinear multi-agent systems with actuator faults. IEEE/CAA J. Autom. Sinica. (2020). https://doi.org/10.1109/JAS.2020.1003596

    Article  Google Scholar 

  20. L. Liu, W. Zhang, D. Wang, Z. Peng, Event-triggered extended state observers design for dynamic positioning vessels subject to unknown sea loads. Ocean Eng. (2020). https://doi.org/10.1016/j.oceaneng.2020.107242

    Article  Google Scholar 

  21. Y. Liu, H. Zhi, J. Wei, X. Zhu, Q. Zhu, Event-triggered control for linear continuous switched singular systems. Appl. Math. Comput. (2020). https://doi.org/10.1016/j.amc.2020.125038

    Article  MathSciNet  MATH  Google Scholar 

  22. C. Peng, M. Yang, J. Zhang, M. Fei, S. Hu, Network-based H∞ control for T-S fuzzy systems with an adaptive event-triggered communication scheme. Fuzzy Sets Syst. 329, 61–76 (2017)

    Article  MathSciNet  Google Scholar 

  23. S. Sheng, X. Zhang, Q. Lu, G. Lu, Event-triggered H∞ state estimation for coupled and switched genetic regulatory networks. Circuits Syst. Signal Process. 38(10), 420–4445 (2019)

    Article  Google Scholar 

  24. W. Sun, X. Wang, C. Zhang, A model-free control strategy for vehicle lateral stability with adaptive dynamic programming. IEEE Trans. Industr. Electron. 67(12), 10693–10701 (2020)

    Article  Google Scholar 

  25. L. Tan, C. Li, J. Huang, T. Huang, Output feedback leader-following consensus for nonlinear stochastic multiagent systems: The event-triggered method. Appl. Math. Comput. (2021). https://doi.org/10.1016/j.amc.2020.125879

    Article  MathSciNet  MATH  Google Scholar 

  26. Z. Wang, W.C. Daniel, X.L. Ho, Robust filtering under randomly varying sensor delay with variance constraints. IEEE Trans Circ Syst II: Expr Briefs 51(6), 320–326 (2004)

    Article  Google Scholar 

  27. Y. Wang, G. Song, J. Zhao, J. Sun, G, Zhuang, Reliable mixed H∞ and passive control for networked control systems under adaptive event-triggered scheme with actuator faults and randomly occurring nonlinear perturbations. ISA Trans. 89, 45–57 (2019)

    Article  Google Scholar 

  28. Y. Wang, L. Xie, C.E. de Souza, Robust control of a class of uncertain nonlinear systems. Syst. Control Lett. 19, 139–149 (1992)

    Article  MathSciNet  Google Scholar 

  29. Y. Wang, T. Zhang, J. Ren, M. Chen, Observer-based event-triggered sliding mode control for uncertain descriptor systems with a neural-network event-triggering sampling scheme. Neurocomputing 385, 319–328 (2020)

    Article  Google Scholar 

  30. X. Wu, K. Liu, Y. Bai, J. Wang, Towards event-triggered extended state observer for multi-agent systems. Neurocomputing 386, 191–197 (2020)

    Article  Google Scholar 

  31. W. Xia, S. Xu, J. Lu, Y. Li, Z. Zhang, Event-triggered filtering for discrete-time Markovian jump systems with additive time-varying delays. Appl. Math. Comput. (2021). https://doi.org/10.1016/j.amc.2020.125630

    Article  MathSciNet  MATH  Google Scholar 

  32. Q. Xu, Y. Zhang, W. Qi, S. Xiao, Event-triggered mixed H∞ and passive filtering for discrete-time networked singular Markovian jump systems. Appl. Math. Comput. (2020). https://doi.org/10.1016/j.amc.2019.124803

    Article  MathSciNet  MATH  Google Scholar 

  33. D. Yang, Q. Zhang, B. Yao, Singular System (Science Press, Beijing, 2004)

    Google Scholar 

  34. D. Yao, C. Dou, D. Yue, N. Zhao, T. Zhang, Event-triggered adaptive consensus tracking control for nonlinear switching multi-agent systems. Neurocomputing 415, 157–164 (2020)

    Article  Google Scholar 

  35. J. Yoneyama, Stability analysis of nonlinear networked control systems via Takagi-Sugeno fuzzy model. IFAC-PapersOnLine. 50(1), 2989–2994 (2017)

    Article  Google Scholar 

  36. N. Zhao, P. Shi, W. Xing, J. Chambers, Observer-based event-triggered approach for stochastic networked control systems under denial of service attacks. IEEE Trans. Control Netw. Syst. 8(1), 158–167 (2021)

    Article  MathSciNet  Google Scholar 

Download references

Acknowledgements

This work was supported by the National Nature Science Foundation of China under Grant (51879060), and the Natural Science Foundation of Heilongjiang Province of China under Grant YQ2019F004.

Author information

Authors and Affiliations

  1. College of Intelligent Systems Science and Engineering, Harbin Engineering University, Harbin, 150001, Heilongjiang, China

    Xuecheng Liu, Zhiguang Feng, Xinhua Zhao & Ning Zhao

Authors
  1. Xuecheng Liu
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Zhiguang Feng
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Xinhua Zhao
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Ning Zhao
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Xinhua Zhao.

Ethics declarations

Conflict of interest

No conflicts or interests with any authorities or person.

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

Liu, X., Feng, Z., Zhao, X. et al. Observer-Based Event-Triggered H∞ Control for Singular Systems with Unknown Disturbances. Circuits Syst Signal Process 40, 5935–5954 (2021). https://doi.org/10.1007/s00034-021-01760-3

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00034-021-01760-3

Keywords

Search

Navigation