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Dynamic Models of Offshore Platforms

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Active Control of Offshore Steel Jacket Platforms
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Abstract

In this chapter, two dynamic models of offshore platforms and several required lemmas are introduced for investigating active control strategies in this book. In the first dynamic model, only the first dominant vibration mode of an offshore steel jacket platform with an AMD mechanism is taken into account [79]. This model is utilized to design active controllers to attenuate wave-induced vibration of the offshore platform. In the second dynamic model, the first and the second vibration modes of an offshore steel jacket platform subject to an active TMD mechanism are considered [65, 72]. By considering parametric perturbations of the system and external disturbance, several uncertain nonlinear models for the offshore platform are developed. Such models are used to design active controllers to reduce vibration amplitudes of the offshore platform subject to self-excited hydrodynamic forces and/or external disturbance.

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References

  1. Abdel-Rohman, M.: Structural control of a steel jacket platform. Struct. Eng. Mech. 4(2), 125–138 (1996)

    Article  Google Scholar 

  2. Zribi, M., Almutairi, N., Abdel-Rohman, M., et al.: Nonlinear and robust control schemes for offshore steel jacket platforms. Nonlinear Dyn. 35(1), 61–80 (2004)

    Article  Google Scholar 

  3. Terro, M.J., Mahmoud, M.S., Abdel-Rohman, M.: Multi-loop feedback control of offshore steel jacket platforms. Comput. Struct. 70(2), 185–202 (1999)

    Article  Google Scholar 

  4. Li, H.-J., Hu, S.-L., Jakubiak, C.: H 2 active vibration control for offshore platform subjected to wave loading. J. Sound Vib. 263(4), 709–724 (2003)

    Article  MathSciNet  Google Scholar 

  5. Ma, H., Tang, G.-Y., Zhao, Y.-D.: Feedforward and feedback optimal control for offshore structures subjected to irregular wave forces. Ocean Eng. 33(8–9), 1105–1117 (2006)

    Article  Google Scholar 

  6. Ma, H., Tang, G.-Y., Hu, W.: Feedforward and feedback optimal control with memory for offshore platforms under irregular wave forces. J. Sound Vib. 328(4–5), 369–381 (2009)

    Article  Google Scholar 

  7. Zhang, B.-L., Ma, L., Han, Q.-L.: Sliding mode H ∞ control for offshore steel jacket platforms subject to nonlinear self-excited wave force and external disturbance. Nonlinear Anal. Real World Appl. 14(1), 163–178 (2013)

    Article  MathSciNet  Google Scholar 

  8. Zhang, B.-L., Huang, Z.-W., Han, Q.-L.: Delayed non-fragile H ∞ control for offshore steel jacket platforms. J. Vib. Control 21(5), 959–974 (2015)

    Article  MathSciNet  Google Scholar 

  9. Zhang, B.-L., Han, Q.-L., Zhang, X.-M., et al.: Integral sliding mode control for offshore steel jacket platforms. J. Sound Vib. 331(14), 3271–3285 (2012)

    Article  Google Scholar 

  10. Zhang, X.-M., Han, Q.-L., Han, D.-S.: Effects of small time-delays on dynamic output feedback control of offshore steel jacket structures. J. Sound Vib. 330(16), 3883–3900 (2011)

    Article  Google Scholar 

  11. Zhang, B.-L., Han, Q.-L., Zhang, X.-M., et al.: Sliding mode control with mixed current and delayed states for offshore steel jacket platforms. IEEE Trans. Contr. Syst. Technol. 22(5), 1769–1783 (2014)

    Article  Google Scholar 

  12. Sarpkaya, T., Isaacson, M. (eds.): Mechanics of Wave Forces on Offshore Structures. Van Nostrand Reihhold, New York (1981)

    Google Scholar 

  13. Chakrabarti, S.K. (ed.): Hydrodynamics of Offshore Structures. Springer, Berlin (1987)

    Google Scholar 

  14. Xie, L.: Output feedback H ∞ control of systems with parameter uncertainty. Int. J. Control 63(4), 741–750 (1996)

    Article  MathSciNet  Google Scholar 

  15. Lancaster, P., Lerer, L., Tismenetsky, M.: Factored forms for solutions of AX − XB = C and X − AXB = C in companion matrices. Linear Algebra Appl. 62, 19–49 (1984)

    Article  MathSciNet  Google Scholar 

  16. Gahinet, P., Apkarian, P.: A linear matrix inequality approach to H ∞ control. Int. J. Robust Nonlinear Control 4, 421–448 (1994)

    Article  MathSciNet  Google Scholar 

  17. Han, Q.-L.: Absolute stability of time-delay systems with sector-bounded nonlinearity. Automatica 41, 2171–2176 (2005)

    Article  MathSciNet  Google Scholar 

  18. Zhang, X.M., Wu, M., She, J.H., et al.: Delay-dependent stabilization of linear systems with time-varying state and input delays. Automatic 41(8), 1405–1412 (2005)

    Article  MathSciNet  Google Scholar 

  19. Peng, C., Fei, M.-R.: An improved result on the stability of uncertain T-S fuzzy systems with interval time-varing delay. Fuzzy Sets Syst. 212, 97–109 (2012)

    Article  Google Scholar 

  20. Zhang, X.M., Han, Q.-L.: Novel delay-derivative-dependent stability criteria using new bounding techniques. Int. J. Robust Nonlinear control 23(13), 1419–1432 (2013)

    Article  MathSciNet  Google Scholar 

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Zhang, BL., Han, QL., Zhang, XM., Tang, GY. (2019). Dynamic Models of Offshore Platforms. In: Active Control of Offshore Steel Jacket Platforms. Springer, Singapore. https://doi.org/10.1007/978-981-13-2986-9_2

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  • DOI: https://doi.org/10.1007/978-981-13-2986-9_2

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-13-2985-2

  • Online ISBN: 978-981-13-2986-9

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