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Control of vibrations using a modified LQG method in tensegrity footbridges under seismic and harmonic loads with uncertainties

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Abstract

Tensegrity systems have been among the most innovative structural systems in recent decades. They are self-equilibrium structures and their elements are only subjected to axial stresses. These significant structural advantages make them appropriate for large-span structures such as footbridges. Like other lightweight structures, the vibration of the structure is a problem in actual projects. Control engineering techniques can address this problem and make these structures more applicable for real purposes. Herein, a new modification of the LQG method was applied to the structure to reduce its vibrations under four earthquakes and harmonic loads with applying uncertainties in measurement. The results showed that this new control strategy is much more effective than the conventional optimal control methods LQR and LQG under uncertainties, especially under harmonic loadings. The role of the arrangement of actuators was also considered, and it was shown that there are some arrangements with fewer actuators that have better control of the vibrations.

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Research data are not shared. Upon request, the authors will be prepared to send relevant documentation or data in order to check and verify the validity of the results presented.

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Acknowledgements

The author(s) received no financial support for the research, authorship and publication of this article. The valuable comments offered by anonymous reviewers are greatly appreciated.

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Authors and Affiliations

  1. Department of Civil Engineering, Engineering Faculty, Imam Khomeini International University, Qazvin, Iran

    Khaled Tofighi Zahabi & Majid Amin Afshar

Authors
  1. Khaled Tofighi Zahabi
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  2. Majid Amin Afshar
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Contributions

KTZ prepared the software, validated the results, conducted the formal analysis, and wrote and edited the original draft of the manuscript. MAA: conceptualized the study, designed the methodology, provided the resources, reviewed and edited the manuscript, supervised the study and administered the project.

Corresponding author

Correspondence to Majid Amin Afshar.

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Tofighi Zahabi, K., Amin Afshar, M. Control of vibrations using a modified LQG method in tensegrity footbridges under seismic and harmonic loads with uncertainties. Int. J. Dynam. Control 12, 409–426 (2024). https://doi.org/10.1007/s40435-023-01200-x

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  • DOI: https://doi.org/10.1007/s40435-023-01200-x

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