Skip to main content

Exponential stabilization of an ODE system with Euler-Bernoulli beam actuator dynamics

This is a preview of subscription content, access via your institution.

References

  1. Wu H N, Wang J W. Static output feedback control via PDE boundary and ODE measurements in linear cascaded ODE-beam systems. Automatica, 2014, 50: 2787–2798

    MathSciNet  Article  Google Scholar 

  2. Liu Z, Liu J, He W. Robust adaptive fault tolerant control for a linear cascaded ODE-beam system. Automatica, 2018, 98: 42–50

    MathSciNet  Article  Google Scholar 

  3. Zhao Z, He X, Ahn C K. Boundary disturbance observer-based control of a vibrating single-link flexible manipulator. IEEE Trans Syst Man Cybern Syst, 2019. doi: https://doi.org/10.1109/TSMC.2019.2912900

  4. Krstic M, Smyshlyaev A. Boundary Control of PDEs: a Course on Backstepping Design. Philadelphia: Society for Industrial and Applied Mathematics, 2008

    Book  Google Scholar 

  5. Smyshlyaev A, Guo B Z, Krstic M. Arbitrary decay rate for Euler-Bernoulli beam by backstepping boundary feedback. IEEE Trans Automat Contr, 2009, 54: 1134–1140

    MathSciNet  Article  Google Scholar 

  6. Krstic M. Delay Compensation for Nonlinear, Adaptive, and PDE Systems. Basle: Birkhauser, 2009

    Book  Google Scholar 

  7. Wang J M, Liu J J, Ren B, et al. Sliding mode control to stabilization of cascaded heat PDE-ODE systems subject to boundary control matched disturbance. Automatica, 2015, 52: 23–34

    MathSciNet  Article  Google Scholar 

  8. Li J, Liu Y. Adaptive stabilisation of ODE systems via distributed effect of uncertain diffusion-dominated actuator dynamics. Int J Control, 2019, 92: 65–76

    MathSciNet  Article  Google Scholar 

  9. Guo B Z, Wang J M. Control of Wave and Beam PDEs: the Riesz Basis Approach. Cham: Springer, 2019

    Book  Google Scholar 

Download references

Acknowledgements

This work was supported by National Natural Science Foundation of China (Grant Nos. 61873153, 11671240).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Hongyinping Feng.

Additional information

Supporting information

Appendixes A–D. The supporting information is available online at info.scichina.com and link. springer.com. The supporting materials are published as submitted, without typesetting or editing. The responsibility for scientific accuracy and content remains entirely with the authors.

Supporting information

Rights and permissions

Reprints and Permissions

About this article

Verify currency and authenticity via CrossMark

Cite this article

Wu, XH., Feng, H. Exponential stabilization of an ODE system with Euler-Bernoulli beam actuator dynamics. Sci. China Inf. Sci. 65, 159202 (2022). https://doi.org/10.1007/s11432-020-2963-8

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s11432-020-2963-8