Skip to main content
SpringerLink
Log in

Stability Analysis of Nonlinear Networked Control System with Integral Quadratic Constraints Performance in Takagi-Sugeno Fuzzy Model

  • Information Technology
  • Published:
Wuhan University Journal of Natural Sciences

Abstract

This paper focuses on the stability analysis of nonlinear networked control system with integral quadratic constraints (IQC) performance, dynamic quantization, variable sampling intervals, and communication delays. By using input-delay and parallel distributed compensation (PDC) techniques, we establish the Takagi-Sugeno (T-S) fuzzy model for the system, in which the sampling period of the sampler and signal transmission delay are transformed to the refreshing interval of a zero-order holder (ZOH). By the appropriate Lyapunov-Krasovskii-based methods, a delay-dependent criterion is derived to ensure the asymptotic stability for the system with IQC performance via the H∞ state feedback control. The efficiency of the method is illustrated on a simulation exampler.

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

Similar content being viewed by others

References

  1. Su L, Chesi G. Robust stability analysis and synthesis for uncertain discretetime networked control systems over fading channels [J]. IEEE Transactions on Automatic Control, 2017, 62(4): 1966–1971.

    Article  Google Scholar 

  2. Li H Y, Chen Z R, Wu L G, et al. Event-triggered fault detection of nonlinear networked systems [J]. IEEE Transactions on Cybernetic, 2017, 47(4): 1041–1052.

    Article  Google Scholar 

  3. Mishra P K, Chatterjee D, Quevedo D E. Sparse and constrained stochastic predictive control for networked systems [J]. Automatica, 2018, 87: 40–51.

    Article  Google Scholar 

  4. Peng G F, Jiang W J. H-infinity fault-tolerant control for networked control systems with integral quadratic constraints performance [J]. Control Theory & Applications, 2016, 33(3): 406–412.

    Google Scholar 

  5. Bauer N W, Maas P J H, Heemels W P M H. Stability analysis of networked control systems: A sum of squares approach [J]. Automatica, 2012, 48(8): 1514–1524.

    Article  Google Scholar 

  6. Lješnjanin M, Nešić D, Daniel E, et al. Robust stability of a class of networked control systems [J]. Automatica, 2016, 73:117–124.

    Article  Google Scholar 

  7. Chen J, Meng S, Sun J. Stability analysis of networked control systems with aperiodic sampling and time-varying delay [J]. IEEE Transactions on Cybernetics, 2016, 99: 1–9.

    Google Scholar 

  8. Wu B, Lin H, Lemmon M. Formal methods for stability analysis of networked control systems with IEEE 802.15.4 protocol [J]. Proceedings of the IEEE Conference on Decision and Control, 2015, 2015: 5266–5271.

    Google Scholar 

  9. Su L, Chesi G. Robust stability analysis and synthesis for uncertain discrete-time networked control systems over fading channels [J]. IEEE Transactions on Automatic Control, 2017, 62(4): 1966–1971.

    Article  Google Scholar 

  10. Tolić D, Hirche S. Stabilizing transmission intervals for nonlinear delayed networked control systems [J]. IEEE Transactions on Automatic Control, 2016, 62(1): 488–494.

    Article  Google Scholar 

  11. Peng C, Ma S D, Xie X P. Observer-based non-PDC control for networked T-S fuzzy systems with an event-triggered communication [J]. IEEE Transactions on Cybernetics, 2017, 99:1–9.

    Google Scholar 

  12. Heemels W P M H. Networked control systems with communication constraints: Tradeoffs between transmission intervals, delays and performance [J]. IEEE Transactions on Automatic Control, 2010, 55(8): 1781–1796.

    Article  Google Scholar 

  13. Donkers M C F, Hetel L, Heemels W P M H. Stability analysis of networked control systems using a switched linear systems approach [J]. Lecture Notes in Computer Science, 2011, 56(9): 2101–2115.

    Google Scholar 

  14. Liu K, Emila F, Laurentiu H. Stability and L2-gain analysis of networked control systems under round-robin scheduling: A time-delay approach [J]. Systems & Control Letters, 2012, 61(5):666–675.

    Article  Google Scholar 

  15. Lien C H, Yu K W. Robust reliable control for uncertain time-delay systems with IQC performance [J]. Journal of Optimization Theory and Applications, 2008, 138(2): 235–251.

    Article  Google Scholar 

  16. Park P G, Ko J W, Jeong C. Reciprocally convex approach to stability of systems with time-varying delays [J]. Automatica, 2011, 47(1): 235–238.

    Article  Google Scholar 

  17. Gu K, Kharitonov V L, Chen J. Stability of Time-Delay Systems [M]. Boston: Birkhauser, 2003.

    Book  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. College of Information Science and Engineering, Changsha Normal University, Changsha, Hunan, 410100, China

    Gaofeng Peng, Hongping Liu, Yang Leng, Yong Wang & Na Zhao

Authors
  1. Gaofeng Peng
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Hongping Liu
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Yang Leng
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Yong Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Na Zhao
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Gaofeng Peng.

Additional information

Foundation item: Supported by the National Natural Science Foundation of China (61472136), and the Best Youth of the Education Department of Hunan Province (16B023)

Biography: PENG Gaofeng, male, Associate professor, research direction: networked control systems.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Peng, G., Liu, H., Leng, Y. et al. Stability Analysis of Nonlinear Networked Control System with Integral Quadratic Constraints Performance in Takagi-Sugeno Fuzzy Model. Wuhan Univ. J. Nat. Sci. 24, 435–441 (2019). https://doi.org/10.1007/s11859-019-1419-1

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11859-019-1419-1

Key words

CLC number

Search

Navigation