Skip to main content
SpringerLink
Log in

Three-Dimensional Vibrations Control Design for a Single Point Mooring Line System with Input Saturation

  • Conference paper
  • First Online:
Neural Information Processing (ICONIP 2017)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 10639))

Included in the following conference series:

  • 3431 Accesses

Abstract

This paper presents a boundary control design for a single point mooring line system with input saturation in three-dimensional (3D) space. The system is described by some partial differential equations (PDEs) and ordinary differential equations (ODEs). The control strategy proposed in this paper at the tip payload of the mooring line and the control design uses Lyapunov’s direct method (LDM) to ensure the stability of the system. In order to compensate the input saturation, we propose an auxiliary system. With the proposed boundary control, the mooring system’s uniform boundedness under the effect of external environment is obtained. The presented boundary control is implementable with feasible equipment because all information in the system can be gained and calculated through various sensors or by applying a backward difference algorithm. Simulation results are provided to prove that the controller is effective in regulating the vibration of the system.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Oueini, S.S., Nayfeh, A.H., Pratt, J.R.: A nonlinear vibration absorber for flexible structures. Nonlinear Dyn. 15(3), 259–282 (1998)

    Article  MATH  Google Scholar 

  2. Do, K.D.: Stochastic boundary control design for extensible marine risers in rhree dimensional space. Automatica 77(3), 184–197 (2017)

    Article  MATH  Google Scholar 

  3. Matsuno, F., Hatayama, M.: Robust cooperative control of two two-link flexible manipulators on the basis of quasi-static equations. Int. J. Robot. Res. 18(4), 414–428 (1999)

    Article  Google Scholar 

  4. Chen, M., Ge, S.S., How, B.V.E., Choo, Y.S.: Robust adaptive position mooring control for marine vessels. IEEE Trans. Control Syst. Technol. 21(2), 395–409 (2013)

    Article  Google Scholar 

  5. He, W., Zhang, S., Ge, S.S.: Robust adaptive control of a thruster ssisted psition mooring system. Automatica 50(7), 1843–1851 (2014)

    Article  MATH  MathSciNet  Google Scholar 

  6. Luo, B., Huang, T., Wu, H.N., Yang, X.: Data-driven, \(H_\infty \), control for nonlinear distributed parameter systems. IEEE Trans. Neural Netw. Learn. Syst. 26(11), 2949–2961 (2015)

    Article  MathSciNet  Google Scholar 

  7. Luo, B., Wu, H.N., Li, H.X.: Adaptive optimal control of highly dissipative nonlinear spatially distributed processes with neuro-dynamic programming. IEEE Trans. Neural Netw. Learn. Syst. 26(4), 684–696 (2015)

    Article  MathSciNet  Google Scholar 

  8. Wang, J.M., Liu, J.J., Ren, B., Chen, J.: Sliding mode control to stabilization of cascaded heat PdeOde systems subject to boundary control matched disturbance. Automatica 52, 23–34 (2015)

    Article  MATH  MathSciNet  Google Scholar 

  9. Do, K.D., Pan, J.: Boundary control of transverse motion of marine risers with actuator dynamics. J. Sound Vibr. 318(4), 768–791 (2008)

    Article  Google Scholar 

  10. Mcnamara, J.F., O’Brien, P.J., Gilroy, S.G.: Nonlinear analysis of flexible risers using hybrid finite elements. J. Offshore Mech. Arct. Eng. 110(3), 197–204 (1988)

    Article  Google Scholar 

  11. Feliu, V., Rattan, K.S., Brown, H.B.J.: Adaptive control of a single-link flexible manipulator. IEEE Control Syst. Mag. 10(2), 29–33 (1990)

    Article  Google Scholar 

  12. Wang, N., Wu, H.N., Guo, L.: Coupling-observer-based nonlinear control for flexible air-breathing hypersonic vehicles. Nonlinear Dyn. 78(3), 2141–2159 (2014)

    Article  MATH  MathSciNet  Google Scholar 

  13. Bhikkaji, B., Moheimani, S.O.R., Petersen, I.R.: A negative imaginary approach to modeling and control of a collocated structure. IEEE/ASME Trans. Mech. 17(4), 717–727 (2012)

    Article  Google Scholar 

  14. Li, G., Belmont, M.R.: Model predictive control of sea wave energy converters part i: a convex approach for the case of a single device. Renew. Energy. 69(69), 453–463 (2014)

    Article  Google Scholar 

  15. Johanning, L., Smith, G.H., Wolfram, J.: Measurements of static and dynamic mooring line damping and their importance for floating WEC devices. Ocean Eng. 34(14–15), 1918–1934 (2007)

    Article  Google Scholar 

  16. He, W., He, X., Sun, C.: Vibration control of an industrial moving strip in the presence of input deadzone. IEEE Trans. Ind. Electron. 64(6), 4680–4689 (2017)

    Article  Google Scholar 

  17. Wu, H.N., Wang, J.W., Li, H.X.: Design of distributed \( {H}_\infty \) fuzzy controllers with constraint for nonlinear hyperbolic PDE systems. Automatica 48(10), 2535–2543 (2012)

    Article  MATH  MathSciNet  Google Scholar 

  18. Lin, Z., Saberi, A.: Low-and-high gain design technique for linear systems subject to input saturation-a direct method. In: Proceedings of the 35th IEEE Conference on Decision and Control. vol. 4, pp. 4788–4793. IEEE (1996)

    Google Scholar 

  19. Chen, M., Ge, S.S., Ren, B.: Adaptive tracking control of uncertain MIMO nonlinear systems with input constraints. Automatica 47(3), 452–465 (2011)

    Article  MATH  MathSciNet  Google Scholar 

  20. Grimm, G., Hatfield, J., Postlethwaite, I., Teel, A.R., Turner, M.C., Zaccarian, L.: Antiwindup for stable linear systems with input saturation: an LMI-based synthesis. IEEE Trans. Autom. Control 48(9), 1509–1525 (2003)

    Article  MATH  MathSciNet  Google Scholar 

  21. Zhou, J., Wen, C.Y.: Adaptive Backstepping Control of Uncertain Systems: Nonsmooth Nonlinearities, Interactions or Time-Variations. Springer, Berlin (2008)

    MATH  Google Scholar 

  22. He, W., He, X., Ge, S.S.: Vibration control of flexible marine riser systems with input saturation. IEEE/ASME Trans. Mech. 21, 254–265 (2016)

    Google Scholar 

  23. Wen, C., Zhou, J., Liu, Z., Su, H.: Robust adaptive control of uncertain nonlinear systems in the presence of input saturation and external disturbance. J. IEEE Trans. Autom. Control 56(7), 1672–1678 (2011)

    Article  MATH  MathSciNet  Google Scholar 

Download references

Acknowledgments

This work was supported by the National Basic Research Program of China (973 Program) under Grant 2013CB733100, the National Natural Science Foundation of China under Grant 61522302, 61761130080, 61520106009, 61533008, the Newton Advanced Fellowship from The Royal Society, UK, under Grant NA160436, the Beijing Natural Science Foundation under Grant 4172041, and the Fundamental Research Funds for the China Central Universities of USTB under Grant FRF-BD-16-005A and FRF-TP-15-005C1.

Author information

Authors and Affiliations

  1. School of Automation and Electrical Engineering, University of Science and Technology Beijing, Beijing, 100083, China

    Weijie Xiang, Wei He & Xiuyu He

  2. Science and Technology on Space Intelligent Control Laboratory, Beijing Institute of Control Engineering, Beijing, 100094, China

    Shuanfeng Xu

  3. School of Engineering and Materials Science, Queen Mary University of London, London, E1 4Ns, UK

    Guang Li

  4. School of Automation, Southeast University, Nanjing, 210096, Jiangsu, China

    Changyin Sun

Authors
  1. Weijie Xiang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Wei He
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Xiuyu He
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Shuanfeng Xu
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Guang Li
    View author publications

    You can also search for this author in PubMed Google Scholar

  6. Changyin Sun
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Wei He .

Editor information

Editors and Affiliations

  1. Guangdong University of Technology, Guangzhou, China

    Derong Liu

  2. Guangdong University of Technology, Guangzhou, China

    Shengli Xie

  3. South China University of Technology, Guangzhou, China

    Yuanqing Li

  4. Institute of Automation, Chinese Academy of Sciences, Beijing, China

    Dongbin Zhao

  5. King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia

    El-Sayed M. El-Alfy

Rights and permissions

Reprints and permissions

Copyright information

© 2017 Springer International Publishing AG

About this paper

Cite this paper

Xiang, W., He, W., He, X., Xu, S., Li, G., Sun, C. (2017). Three-Dimensional Vibrations Control Design for a Single Point Mooring Line System with Input Saturation. In: Liu, D., Xie, S., Li, Y., Zhao, D., El-Alfy, ES. (eds) Neural Information Processing. ICONIP 2017. Lecture Notes in Computer Science(), vol 10639. Springer, Cham. https://doi.org/10.1007/978-3-319-70136-3_25

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-70136-3_25

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-70135-6

  • Online ISBN: 978-3-319-70136-3

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation