Skip to main content
SpringerLink
Log in

Dissipative control for linear time-delay systems based a modified equivalent-input-disturbance approach

  • Published:
International Journal of Dynamics and Control Aims and scope Submit manuscript

Abstract

This study discusses the dissipativity problem of a type of linear time-delay systems with exogenous disturbance. A modified equivalent-input-disturbance (MEID) method is used to estimate and compensate for the adverse effects of exogenous disturbance on the system output. To address the dissipation issue of time-delay systems, an output-feedback control rate with disturbance-rejection capability is suggested based on the MEID approach. Then, a suitable Lyapunov–Krasovskii function is constructed. On this basis, the stability conditions and dissipation criteria of the closed-loop system are obtained by combining the free-weight-matrix method. Finally, a numerical example is provided to highlight the benefits of the suggested approach.

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

Similar content being viewed by others

Data availibility

Data sharing is not applicable to this article as no dataries were generated or analysed during the current study.

References

  1. Zhao Y, Wang L (2022) Practical exponential stability of impulsive stochastic food chain system with time-varying delays. Mathematics 11(1):147

    Article  MathSciNet  Google Scholar 

  2. Ma Z, Yuan S, Meng K et al (2023) Mean-square stability of uncertain delayed stochastic systems driven by G-Brownian motion. Mathematics 11(10):2405

    Article  Google Scholar 

  3. Zhao Y, Lin H, Qiao X (2023) Persistence, extinction and practical exponential stability of impulsive stochastic competition models with varying delays. AIMS Math 8(10):22643–22661

    Article  MathSciNet  Google Scholar 

  4. Zhu Q (2019) Stabilization of stochastic nonlinear delay systems with exogenous disturbances and the event-triggered feedback control. IEEE Trans Autom Control 64(9):3764–3771

    Article  MathSciNet  Google Scholar 

  5. Fan L, Zhu Q, Zheng WX (2024) Stability analysis of switched stochastic nonlinear systems with state-dependent delay. IEEE Trans Autom Control 69(4):2567–2574

    Article  MathSciNet  Google Scholar 

  6. Shangguan XC, He Y, Zhang CK et al (2023) Resilient load frequency control of power systems to compensate random time delays and time-delay attacks. IEEE Trans Ind Electron 70(5):5115–5128

    Article  Google Scholar 

  7. Dong YQ, Sun KQ, Wang JN et al (2022) A time-delay correction control strategy for HVDC frequency regulation service. CSEE J Power Energy Syst pp 1–11

  8. Pepe P (2020) Discrete-time systems with constrained time delays and delay-dependent lyapunov functions. IEEE Trans Autom Control 65(4):1724–1730

    Article  MathSciNet  Google Scholar 

  9. Lindner B, Auret L, Bauer M (2017) Investigating the impact of perturbations in chemical processes on data-based causality analysis. Part 1: defining desired performance of causality analysis techniques. IFAC-Papers On Line, Vol 50, No. 1, pp 3269–3274

  10. Xu L, Guo QL, Sheng YJ et al (2021) On the resilience of modern power systems: a comprehensive review from the cyber-physical perspective. Renew Sustain Energy Rev 152:111642

    Article  Google Scholar 

  11. Chai R, Tsourdos A, Savvaris A et al (2021) Review of advanced guidance and control algorithms for space/aerospace vehicles. Prog Aerosp Sci 122:100696

    Article  Google Scholar 

  12. Choi HD, Kim SK (2021) Delay-dependent state-feedback dissipative control for suspension systems with constraints using a generalized free-weighting-matrix method. IEEE Access 9:145573–145582

    Article  Google Scholar 

  13. Gunasekaran N, Joo YH (2019) Robust sampled-data fuzzy control for nonlinear systems and its applications: free-weight matrix method. IEEE Trans Fuzzy Syst 27(11):2130–2139

    Article  Google Scholar 

  14. Willems JC (1972) Dissipative dynamical systems part I: general theory. Arch Ration Mech Anal 45(5):321–351

    Article  Google Scholar 

  15. Saravanakumar R, Rajchakit G, Ahn CK et al (2019) Exponential stability, passivity, and dissipativity analysis of generalized neural networks with mixed time-varying delays. IEEE Trans Syst Man Cybern Syst 49(2):395–405

    Article  Google Scholar 

  16. Wang CS, Li JM, Hu YK (2019) Frequency control of isolated wind-diesel microgrid power system by double equivalent-input-disturbance controllers. IEEE Access 7:105617–105626

    Article  Google Scholar 

  17. Zhao KH, Zhou RR, She JH et al (2022) Demagnetization-fault reconstruction and tolerant-control for PMSM using improved SMO-based equivalent-input-disturbance approach. IEEE/ASME Trans Mechatron 27(2):701–712

    Article  Google Scholar 

  18. Liu XM, Yang CY, Che ZY et al (2021) A novel equivalent input disturbance-based adaptive sliding mode control for singularly perturbed systems. IEEE Access 9:12463–12472

    Article  Google Scholar 

  19. Liu RJ, Liu GP, Wu M et al (2014) Disturbance rejection for time-delay systems based on the equivalent-input-disturbance approach. J Frank Inst 35(6):3364–3377

    Article  MathSciNet  Google Scholar 

  20. Yu P, Wu M, She JH et al (2018) An improved equivalent-input-disturbance approach for repetitive control system with state delay and disturbance. IEEE Trans Ind Electron 65(1):521–531

    Article  Google Scholar 

  21. Wang ZW, She JH, Liu ZT et al (2022) Modified equivalent-input-disturbance approach to improving disturbance-rejection performance. IEEE Trans Ind Electron 69(1):673–683

    Article  Google Scholar 

  22. She JH, Fang MX, Ohyama Y et al (2008) Improving disturbance-rejection performance based on an equivalent-input-disturbance approach. IEEE Trans Ind Electron 55(1):380–389

    Article  Google Scholar 

  23. Khargonek PP, Petersen IR, Zhou K (1990) Robust stabilization of uncertain linear systems: quadratic stabilizability and H \(\infty \) control theory. IEEE Trans Autom Control 35(3):356–361

    Article  MathSciNet  Google Scholar 

  24. Du YW, Cao WH, She JH et al (2020) Disturbance rejection and control system design using improved equivalent input disturbance approach. IEEE Trans Ind Electron 67(4):3013–3023

    Article  Google Scholar 

  25. Yin X, Shi Y, She JH et al (2023) Equivalent input disturbance-based control: analysis, development, and applications. IEEE Tran Cybern pp 1–14

  26. Wu M, He Y (2008) Robust control of delay systems-free weight matrix method. Science Press, Beijing

    Google Scholar 

  27. Cai WJ (2020) Disturbance-rejection and tracking control for quadrotor UVAs based on equivalent-input-disturbance approach. China University of Geosciences, Wuhan

    Google Scholar 

Download references

Acknowledgements

This work was supported by Anhui Provincial Natural Science Foundation under Grant 2308085MF197 and supported by the National Natural Science Foundation of China under Grant 62103006.

Author information

Authors and Affiliations

  1. School of Physics and Electronic Information, Anhui Normal University, Wuhu City, 241000, China

    Chenhui Wu, Runzhang Zhang & Fang Gao

Authors
  1. Chenhui Wu
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Runzhang Zhang
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Fang Gao
    View author publications

    You can also search for this author in PubMed Google Scholar

Contributions

The manuscript was written through contributions of all authors. All authors have given approval to the final version of the manuscript.

Corresponding author

Correspondence to Fang Gao.

Ethics declarations

Conflict of interest

The authors declare that they have no conflict of interest.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Wu, C., Zhang, R. & Gao, F. Dissipative control for linear time-delay systems based a modified equivalent-input-disturbance approach. Int. J. Dynam. Control (2024). https://doi.org/10.1007/s40435-024-01445-0

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s40435-024-01445-0

Keywords

Search

Navigation