Abstract
This chapter is concerned with a delayed non-fragile H ∞ control scheme for an offshore steel jacket platform subject to self-excited nonlinear hydrodynamic force and external disturbance. By intentionally introducing a time-delay into the control channel, a delayed robust non-fragile H ∞ controller is designed to reduce the vibration amplitudes of the offshore platform. The positive effects of time-delays on the non-fragile H ∞ control for the offshore platform are investigated. It is shown through simulation results that (i) the proposed delayed non-fragile H ∞ controller is effective to attenuate vibration of the offshore platform, (ii) the control force required by the delayed non-fragile H ∞ controller is smaller than the one by the delay-free non-fragile H ∞ controller, and (iii) the time-delays can be used to improve the control performance of the offshore platform.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
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)
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)
Zhang, B.-L., Tang, G.-Y.: Active vibration H ∞ control of offshore steel jacket platforms using delayed feedback. J. Sound Vib. 332(22), 5662–5677 (2013)
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)
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)
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)
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)
Zhang, B.-L., Han, Q.-L., Huang, Z.-W.: Pure delayed non-fragile control for offshore steel jacket platforms subject to non-linear self-excited wave force. Nonlinear Dyn. 77(3), 491–502 (2014)
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2019 Springer Nature Singapore Pte Ltd.
About this chapter
Cite this chapter
Zhang, BL., Han, QL., Zhang, XM., Tang, GY. (2019). Delayed Robust Non-fragile H∞ Control. In: Active Control of Offshore Steel Jacket Platforms. Springer, Singapore. https://doi.org/10.1007/978-981-13-2986-9_6
Download citation
DOI: https://doi.org/10.1007/978-981-13-2986-9_6
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-13-2985-2
Online ISBN: 978-981-13-2986-9
eBook Packages: EngineeringEngineering (R0)